Section 1 Test 1

ANSWER ANSWER

Th H T U

2

3

4

5

6

7

8

9

10

11

12

1

2

3

4

5

6

7

8

9

10

11

12

Write in words the numbershown on the abacus picture.

17 + 8 + 1 6

965 - 60

(8 x 7) + 5

(56 - 8) - 8

TO of 100 g

14 h = min

£1-45 = FIVES

4 km 350 m = m

850 g + g = 1jkg

£7-09 = pennies

TENS + 6 TWOS = £1-82

mm

FIVES

m

TENS

ANSWER

Write in figures the numbertwelve thousand and eight.

How many groups of 9 are there in6 sixes?

What is the difference in pencebetween £5 and £3?

How many tens are equal to 1070?

Find the total of 53p and £1-37.

By how many g is j kg heavier than280 g?

Find the cost of 9 articles at13p each.

How many mm are there in 10.7 cm?mm

How much change from a FIFTYafter spending 17pand 16p?

Change to 24-hour clock times(a) 9.35 a.m.

(b) 8.50 p.m.

Find the smallest number which willdivide by both 6 and 8 without aremainder.

(a)

(b)

What sum of money when multipliedby 7 equals £1 -12?

8

10

In a box were 48 cards.How many cards were there in7 boxes?

x yIn the number 7479 how manytimes is the 7 marked x greater thanthe 7 marked y?

A motorist travelled 348 km in6 hours.Find his average speed in km/h. km/h

8 cm

12

This rectangular cardis cut into twoequal parts along adiagonal.Find the area ofeach part.

What are the next two numbers inthis series?TTJ. 1.10,

Find the difference in cost between12 articles at 3p each and 12 articlesat 5p each.

A bus leaves its station at 8.40 a.m.and arrives at its destination at noon.How long does the journey take? h

PRICE OF CLOTH

(A) £3 • 96 per m(B) £4 • 18 per m

By how much iscloth (B) moreexpensive per mthan cloth (A)?

The mass of fruit in a tin is 425 g.Find in kg and g the mass of thefruit in 10 tins.

Through how many degrees does theminute hand of a clock turn in 10minutes?

A plank of wood is cut into 12 equalpieces. .What fraction of the plank is 7 pieces?

mm

The diagram shows howSuki used her prize money,(a) What fraction did

she spend? (a)

(b)The prize was £40.How much didshe save? (b)

Section 1 Test 2

2

3

4

5

6

7

8

9

10

11

12

4

5

7

8

9

10

11

12

TTH Th H T U

Write in words thenumber shown onthe abacus picture.

27 + 6 = 20 +

78 x 6

872 + 8

£ 1 - 6 8 - 9 6 p = p

27 quarters =

3 o f£4-32

2080 m = km m

4 kg 700 g = g

£10 - £0.82

FIFTIES + 7 FIVES = £1-85

The time on the clockis 7 min slow. Writethe correct time usinga.m. or p.m.

km m

FIFTIES

afternoon

ANSWER

Find the missing number.5000 + + 7 = 5087

How many TWENTIES have the samevalue as 3 TENS and 1 FIFTY?

Share £1 -56 equally among 6 people.How much each?

TWENTIES

Write 3.45 m as cm.

Which of these numbers divide by 8without a remainder?12, 28,32,44, 56,68

Find the value of (a) ? of £35

(b) 5 of £35.

Write 996 to the nearest 10.

How many g in 2\?

Find the change from £1 afterspending 19p and 17p.

What is the average of6cm, 9 cm, 7 cm, 10 cm?

Change to 12-hour clock times(a) 09.05

(b) 16.48.

10 articles cost £1-30.Find the cost of one article.

cm

(a)

(b)

cm

(a)

(b)

ANSWER

8

9

10

11

12

A cricketer scored 12 runs short of acentury. How many runs did he score?

3.7 x 9 = 33.3Write the value of 3.7 x 90.

The price of fish is £6-40 per kg.What is the cost of 1 kg 500 g?

How many 10-cm strips can be cutfrom a length of 5 m 60 cm?

There are 20 litres in the petrol tank of acar. If it is 3 full, how many morelitres will it hold?

Find the total value of these coins.

A school's Easter holiday started on26th March and ended on 9th April.How many days holiday were there?

A ship is sailing due East. It changescourse to SE.Through how many degreesdoes it turn?

-Coo_0 Sophie

i iSunil

i _ i Josh £

The diagram shows how threechildren shared a prize of £40.How much did each child receive?

Sophie £

Sunil £

A train leaves at 17.50 and arrives atmidnight.How long does the journey takein h and min? h mm

The price of butter is increased from£1-29 to £1-34 per 500 g.How much extra is paid for 6 kg?

9 cm Find(a) the perimeter (a)

(b) the areaof this square, (b)

(Write the unit ofmeasurement in each case.)

5

I Section 1 Test 3

ANSWER ANSWER

T U t

3

4

5

6

7

8

9

10

11

2

3

4

5

6

7

8

9

10

11

12

Write in words as adecimal the numbershown on the abacuspicture.

70 + 9 tenths300Write the answer as a decimal.

4.6 + 0.8

10.2 - 0.7

£8-70 = TENS

20.4 cm = mm

36.9 x 10

59 + 10

10.7 = tenths

200 g + g = 0.5 kg

2.3 litres = mf

1.8 x 7

TENS

mm

mf

ANSWER

What decimal fractionof the circle is(a) shaded

(a)

(b)

(b)unshaded?Write as a decimalforty and nine tenths.Of these fractions ro, 0.5, ?, 0.2which is (a) the largest

(b) the smallest?Find the total of3.7, 1.3 and 0.8.What is the difference between0.3 and 10.3?Find the cost of 100 g rice at95p per jkg.

What length is 6 times longer than4.5cm? "How many months in the yearhave 31 days?Share £2-00 exactly among 8 children.How much each?Write each of these quantities to thenearest whole unit.(a) 59.8 km (a)

8

cm

10

11

12

km

(b) 40.3 litres.Find the value of x if2.5 x 4 = 2 x x.

How many h and min from08.50 to 11.00?

(b)

What fraction of thesquare is shaded?

Josh has 40p and Ryan f of thisamount. How much have theyaltogether?

A cyclist travels 3 km in 10 min. Findhis speed in km/h.

8.6cm

4.9 cmM *•

6.8cm

Find in mm the difference between thelongest and shortest of these lines.

Sophie bought a book for £1 -75 andgave 7 FIVES and the rest in TENS.How many TENS did she give?

By how many g is a mass of1.4 kg heavier than a mass of850 g?

What is the date a week later thanChristmas Day?

83° 124° 35° 107° 56°

Of these angles which two whenadded together make 2 right angles?

Material for a dress costs £5-50 per metre.Find the cost of (a) 10 cm (a)

(b) 70 cm.

Two cans each hold 750 mf.By how many mf is their totalvolume less than 1.8 litres?

(b )£

A shopkeeper bought 6 pens for 95p.He sold them to make a profit of 25p.For how much did he selleach pen?

PLAY SPACE

The width of theplay space ishalf the length.Find(a) its

perimeter (a)

(b) its area, (b)

km/h

mm

TENS

mm (Give the unit of measurement in each case.)

Section 1 Test 4

3

4

5

6

7

8

9

10

11

12

3

4

6

7

8

9

10

11

12

ANSWER

T U t h Write in words as adecimal the numbershown on theabacus picture.

8.03 = 8 + —

2.26 + 1.04

£3-04 = pence

248 cm = m

Write 3 as a decimal.

10 - 0.88

5.07 x 100

Find in g (a) 0.1 of 1 kg

(b) 0.7 of 1 kg.

Write as a decimal 503 hundredths.

0.46 x 8

2.16 * 8

m

(a)

(b)

ANSWER

Write as a decimal- 7 4JO + TO + TOO-

What is the value in pence of thedigit underlined?(a) £100-40

(b) £15-06

Write in m and cm 109.46 m.

Write the missing signs +, -, x, *in place of • and A.90 6 = 3 A 5 •_Write as a decimal15 tenths 7 hundredths.

(b)

m cm

Decrease 0.5 litre by 150 mf.

How many h and min from2.25p.m. to 4.05 p.m.?

Write these fractions in their lowestterms, (a) £ (b) £ (a)

mm

(b)

Divide £15 by 6 exactly.

Find the area of a rectanglemeasuring 8.5 cm by 6 cm.

Divide 75 kg by 100. Give theanswer in g.

Which of these fractions are of equalvalue?| 0.6 0.75 TO

10

11

12

ANSWER

Write as a decimalfraction the part ofthe square which is(a) shaded (a)

(b) unshaded, (b)

Badges cost 6p each.How many can be bought for £1 -56?

A medicine spoon holds 5 mf.How many spoonfuls in \?

Find the missing number in thisexample.

1 7 rem. 7

Mince costs £1 -80 per { kg.Find the cost of mince weighing 600 g.

A triangle has two equal sides eachmeasuring 36 cm. Its perimeter is 1 m.Find the length of the third side.

There were 845 people at a concert.Write this number(a) to the nearest 100

(b) to the nearest 10. (b)

There are two 2-place decimal numberswhich are greater than 3.97 but lessthan 4.00.What are the numbers?

Fatima collected 150 pennies for theschool fund. Olivia collected threetimes as many.How many £1 coins did theyreceive in exchange?

Josh's stride measures 40 cm.How many strides will he take inwalking 10 m?

A path measures 9 m long and 50 cmwide. Find its area in m2.

.cm

The line AB is drawn to a scale 1 cmto 20 cm. Find the length the linerepresents (a) in cm (a)

cm

B

cm

(b) in mm. (b) mm

Section 1 Test 5

ANSWER ANSWER

1 Write as a decimal 10 + ^j + T^O"

2 (8 x 9) + (0 x 7)

3 10.05 m = cm

4 250 g + g = 600 g

5 0.5 litres = 330 ml + ml

6 1 of £40

7 1.3 + 0.75

8 £2-08 - 70p = £

9 Write 5 as a decimal fraction.

10 3 h 40 min = min

11 40.08 x 100

12 8.32 - 4

cm

mm

One thousand and six people eachbought 5 tickets.How many tickets was thataltogether?

How much change from 3 TWENTIESafter paying for 6 eggs at£1-08 per dozen?

Imm cm,, , , ! , , ,, I....I

A , '"

Write the length of each line in cm.AB

CD

cm

cm

2

3

4

5

7

8

•10

11

12

L

ANSWER

-LJWrite as a decimal fraction the part ofthe strip which is (a) shaded (a)

(b) unshaded. (b)

What number is 7 more than 6 x 87

(a) Name the eleventh month of theyear. (a)

(b) How many days are there inthat month?

Find the cost of 100 g at £1 -40per kg.Find the difference between thelargest and smallest of these fractions.

(b)

3TO,

12.

45.

710

Write 19 litres 720 ml to the nearestlitre.

From the sum of 3.6 and 6.2 take 5.

Find the area in m2 of a floormeasuring 8 m by 3 m 50 cm.

Complete this number series.0.3,3,30, ,Divide 30.4 cm into 8 equal parts.Find the length of each part.How many TWENTIES must beadded to 3 TENS to equal £2-10?

Of these triangles which is(a) isosceles

(b) equilateral?

(a)

(b)

nr

cm

TWENTIES

10

11

12

In 7 weeks Katie saves £3-15.Find her average weekly savings.

A boy spent \f his money on sweetsand | on bus fares.What fraction of his money is left?

How many degrees arethere in each of theequal angles at thecentre of the circle?

How many gless than 1 kgis thetotal mass?

Tom's date of birth is 7th March 1985.Daniel was born exactly 4 years later.Write in figures Daniel's date of birth.

The approximate distance betweentwo villages is given as 11 km. Theactual distance is 10.7 km.Find the difference in m.

Which two of these fractions areequivalent to I ? TD. TT, 5,

1520 ^_

Emily and Katie have 60p betweenthem. Emily has 8p more than Katie.How much has each? Emily

Katie

•I AREA3000 m2

100 m

Find the missingmeasurementmarked b.

m

_p

P

8

Section 1 Test 6

1

2

3

4

5

6

7

8

9

10

11

12

o1

ANSWER g^

45p + 35p + £1-20 £ 1 Find th<Write t

6 3 - 8 rem.

Write as a decimal what is

708 hundredths. 2 jn oa,h

1kg- g = 125g g ^ 603

£ 1 - 0 5 x 6 £ (b)49'C

0.8 + 3.25- A boy v

How many minutes from 9.27 a.m. J of 6 krrto 11. 15a.m.? min How m

mf + 4050 ml - 5 litres ml to wa'k

60.4 + 10A Samma

i = TOO TOO How mFIFTY?

0.5 of £17-20 £

A\0

^L^^ j^

I ANSWER

xn""x/\e the part which is shaded Jh

L^my (a) as a vulgar fraction G .

\/__'X (b) as a decimal fraction. (a) to tf

ANSWER

; total of | kg, 400 g and 200 g.ie answer as kg and g. kg g

the value of the digit underlinedof these numbers?7 (a)

8 (b)

valked at an average speed/h.any hours will he take15km? h

bought 8 sweets at 4p each,uch change had she from a

P

How many>y~A~^\ degrees are45X^^rr) there in the

angle markedA? °

Dulation of a small town is 8968.ie numberle nearest 1000 (a)

2 From 9 times 7 take 5. (b) to the nearest 1 00. (b)

3

4

5

6

7

8

9

10

11

12

Write the 24-hour clock time for12 minutes before midnight. c .^_

Find the cost of 20cm at 75p per m. p be add1 which i

Write 9 kg 870 g to the nearest 2 kg.kg

Find the difference between 3.8 litres 8 ', _ ... Find tnand 6 litres. t

What length in cm is v of 3 m? cmn D CnilUf

Find the total of 2\, 3§ and 5. of a su18p an

How many TWOS are worth £2-48? TWOS Find th

A square has sides measuring 10 cm.Find (a) its perimeter (a)

(b) its area. (b) ' " c xIT in =

Complete the number series.0.01,0.1,1,1,1

^ K A 11 Wnatli

,<sjkl [p\Which of these trianglps k 12 K 8 5

(a) a right-angled Triangle c

(b) an acute-angled triangle E? ~

(c) an obtuse-angled triangle? ^ j,

= smallest number which can?d to 40 to make a numbers exactly divisible by 7.

3ns cost 45p.? cost of 3 balloons. p

en each had an equal sharen of money. They each receivedd there was 2p left over.= sum of money. £

3 value in m of x

1 .6 m. m

quid measure is equal to10 litres? e

cm Find the length ofm (a) the side Ab

-j (a) cm

g (b) the side BC.(b) cm

15cm

I Section 1 Test 5

ANSWER ANSWER

1

2

3

4

5

6

7

8

9

10

11

12

2

3

4

5

6

7

8

9

10

11

12

Write as a decimal 10 + TC + T55

(8 x 9) + (0 x 7)

10.05 m = cm

250 g + g = 600 g

0.5 litres = 330 ml + ml

I of £40

1.3 + 0.75

£2-08 - 70p = £

Write | as a decimal fraction.

3 h 40 min = min

40.08 x 100

8.32 - 4

cm

mm

ANSWER

JWrite as a decimal fraction the part ofthe strip which is (a) shaded (a)

(b) unshaded. (b)

What number is 7 more than 6 x 8 ?

(a) Name the eleventh month of theyear. (a)

(b) How many days are there inthat month? (b)

Find the cost of 100 g at £1 -40per kg.Find the difference between thelargest and smallest of these fractions.JL 1 4 JL10. 2. 5. 10

Write 19 litres 720 m£to the nearestlitre.

From the sum of 3.6 and 6.2 take 5.

Find the area in m2 of a floormeasuring 8 m by 3 m 50 cm.

Complete this number series.0.3,3,30, ,Divide 30.4 cm into 8 equal parts.Find the length of each part.How many TWENTIES must beadded to 3 TENS to equal £2-10?

cm

TWENTIES

10

11

Of these triangles which is(a) isosceles

(b) equilateral?

One thousand and six people eachbought 5 tickets.How many tickets was thataltogether?

How much change from 3 TWENTIESafter paying for 6 eggs at£1 -08 per dozen?

mm cm

o

Write the length of each line in cm.AB

CD

In 7 weeks Katie saves £3-15.Find her average weekly savings.

A boy spent \f his money on sweetsand | on bus fares.What fraction of his money is left?

How many degrees arethere in each of theequal angles at thecentre of the circle?

How many gless than 1 kgis thetotal mass?

Tom's date of birth is 7th March 1985.Daniel was born exactly 4 years later.Write in figures Daniel's date of birth.

The approximate distance betweentwo villages is given as 11 km. Theactual distance is 10.7 km.Find the difference in m.

Which two of these fractions are3 -, 6 9 4 15

equivalent to 4 ? TO. TZ, 5, 20

Emily and Katie have 60p betweenthem. Emily has 8p more than Katie.

(b)

cm

cm

m

3w much has each

AREA3000 m2

mn m

7 Emily

Katie

P

P

Find the missingmeasurementmarked b.

8

Section 1 Test 7

1

2

3

4

5

6

7

8

9

10

11

12

T2+ = 1

ANSWER

1 Write in5 70 less 1

Write as a decimal 1 5 + TOO-

20.4 = tenths

(8 x 8) + 6

2 km + 5 km + \m =

Find the missing number.3000 + 100 + + 6 =

£2-00 - 46p = £

700 g + g = 1.5 kg

How many thirds in 63?

© Thetirr13 mincorrecta.m. or

evening

27p x 4

0.7 litres - mf = 610

tenths 2 Count tgiven oi

m m v lOj lOy ~5<

3196

£ 3 Acar t r cFind its

g_ 4 1 litre o

Find in ce on the clock is bottle v\. Write the

P-m- 5 \^~

//

mf ml

ANSWER

figures the number which ishan ten thousand.

ne value of these coins in theder and find the total amount.

)";~50'' C 5 V 5 7 '"20: 207 2 j

£

avels 26 km in 20 mm.speed in km/h. km/h

: water has a mass of 1 kg.3 the mass of water in a/hich holds 1 litre. g

/ In the square give the/ size in degrees of

(a) angle A (a) °

,/AV (b) angle B. (b)

g In a test, James scored 70 out of 1 00.Q W h a t fraction, in i t s lowest terms,

ANSWER of the total did he score?

1

2

3

4

5

6

7

8

9

10

11

52 = 5 x 5 = 25.Find the value of (a) 62

(b) 102.

i Chloe h(a) this am(b) How m

Add 8 hundredthsto 3.04.

What is the difference between 90p 28th Jurand £3-25? £ the first

How many h and min are105 min?

Find the cost of 7 lemons18p each.

Write as fractions in theirterms, (a) |j (b) T^

How many g must be adc2300 g to make 2? kg?

9 times 4. 03

*• ^~^ ma

there inh min 9 5 books

1 kg 45at Find the

lowest(a) (b) 10 ^~-

edto |9 <

LL.

O

\N many degrees -ithere in the anglerked A? °

By how many mm is 8.3 cm longer 11 y owthan 56 mm? mm plot mo

Divide £3-68 into 8 equal parts. What is . , ,the value in pence of each part? p 12 °^

as £1 -50 and Olivia has f ofDunt.jch have they altogether? £

my days are there fromie to 9th July? Do not countday.

together have a mass ofD g .average mass. g

The plot of landis 3 times aslong as it is wide.Find(a) its length (a)

(b) its perimeter. « (b)

many m2 is the area of there than 1000 m2? m2

oubles his savings every week forIn thp fircit \A/ppk hp ^avpd ?0n

12 (8 x 6) = (3 x 6) + (x x 6).Find the number x stands for.

How much did he save in thefourth week? £

10

Section 1 Test 8

ANSWER ANSWER

1

2

4

5

6

7

8

9

10

11

12

6.07 = hundredths

Write as a 24-hour clock time16 min after midnight.

Write as a decimal200 + TO + TO.

5.8 x 7

Find the value of xif54 4- 9 = 30 - x.

£1-00 - (4 TENS + 9 FIVES)

40° + 65° + ° = 180°

1000

£4-86 = TENS + 6p

mf x 10 = 2 litres

£2-34 * 6

425 g + 70 g + 87 g = kg

hundredths By how many is 102 greater than 92 ?

TENS

mf

How many(a) tenths are equal to 50.6 (a)

(b) hundredths are equalto 40.75? (b)

In a bag there are 13 TWOS and14 pennies.How many TWENTIES areexchanged for these coins?

7 nails have a mass of 50 g.How many nails have a mass of \?

kg

Through how manydegrees does thehour hand of a clockturn from noonto 4.00 p.m.?

tenths

hundredths

TWENTIES

1

2

4

5

6

7

8

9

10

11

12

ANSWER

Add 5 t o 7 2 .

Change these times to 12-hour clocktimes using a.m. or p.m.(a) 07.05 (a)

(b)(b) 23.20

Decrease £ 1 • 34 by 40p.

Write to the nearest whole number(a)9TO (b)20|. (a) (b)

By how many m is 1850 m less than3km?

Find the total of 15 TWENTIES and12 TENS.

What is the difference in mf betweeng litre and 580 mf?

How many g are equal to 0.3 kg?

How many degreesare there in each of theequal angles at thecentre of the circle?

2 kg costs £1-60.Find the cost of lOOg.

Find the area of a square with sidesof 40 cm.

Divide 23 exactly by 5.Write the answer as a decimal number.

m

mf

8

10

11

Write these numbers so that the valueof the figure 7 in each number is7 hundredths. (a) 1607 (a)

(b)97 (b)

A right-angled trianglecontains an angle of 55°.Find the size ofthe third angle.

When a barrel is 5 full it holds 16 litres.How many litres will it holdwhen 5 full?

Batey

Find to the nearest km the distanceby road from Batey to Skipley. km

A computer game which costs £1 7-50 is paid forat the rate of 50p per week.How many payments are made? _

A bus runs at 20 min intervals. If thefirst bus leaves at 07.30, find thestarting time of the third bus.

What is the cost of 1 kg 200 g at35p per kg?

11

Section 1 Test 9

ANSWER ANSWER

1

2

3

4

5

6

7

9

10

»12

2

3

4

5

8

9

11

12

0.8 + 0.8 + 0.8 + 0.8

200 - 97

TO of 50p

Write as a decimal70 + 6 + T£C.

2 km 350 m = m

£1-71 + 9

1.5 kg - 650 g = g

7 FIVES - 8 TWOS = p

1150 mt + ml = 2 litres

21 5 min = h mm

£3-05 = TENS + 1 FIVE

4.5kg x 100

m

mt

m|n

TENS

9

ANSWER

What is the value of the missingnumber?Thirty point three six = 30 + + T

Write to the nearest metre 19.54 m.

Find the change from £5-00 afterspending 89p.

Find the total of 0.9 and 4.38.

Change 8.35 p.m. to 24-hourclock time.

Which three coins when addedtogether make 56p? p

m

Find in mm the radius of a circle thediameter of which is 7.6 cm.

Increase £1-20 by a quarter.

mm

BName the pair ofparallel lines inthis shape.

How many times can 250 ml betaken from 2j litres ?

Find the cost of 1 kg 100 g oforanges at 50p per | kg.

Which of these decimal fractions isequal to j?0.34 0.43 0.75 0.63

9

11

12

Arrange the digits 3, 8, 0, 5 to make(a) the largest possible number (a)

(b) the smallest possible number. (b)

This shape has 8equal sides.(a) Name the shape. (a)

(b) How many degreesare there in ^ A? (b)

Share £4-76 equally among 7 children.Find how much each has. Write theanswer (a) in pence (a)

(b) in £s.

A medicine spoon holds 5 mt.What decimal fraction of a litre iscontained in 100 spoonfuls?

,- Find in g (a) 0.1 kg

(b) 0.4 kg

(c) 0.8 kg.

(b) £

(a)

(b)

(c)

The perimeter of therectangle is 96 cm.The width is 15 cm.Find its length.

What is the difference between thelargest and smallest of these decimalnumbers?1.1 0.98 1.12 1.06

The thickness of 100 sheets of cardis 14.5 cm. Find the thickness in mmof (a) 10 sheets (a)

(b) 1 sheet. (b)

N

tSanjay is facing NE.In which direction is hefacing if he turnsclockwise through 2right angles?

10 Needles are sold at 5 for 35p.What is paid for 30 needles?

Tom spent f of his money on sweetsand^ on ice cream.What fraction of his moneyhad he left?

Find the area of thesmallest square intowhich the circle canbefitted.

cm

mm

mm

12

Section 1 Test 10

ANSWER ANSWER

2

3

4

5

6

7

8

9

10

11

12

3

4

5

•••6

7

8

9

10

11

12

Write as a decimal(a) 407 tenths

(b) 209 hundredths.

How many days in 1 year?

42 + 32 - 22

1 FIFTY + 2 TWENTIES = FIVES

10 - 0.55

TO of 1 kg = g

63 H- 7 = 54 -r-

|+i

0.48 m H- 8 = cm

£2-30 - 95p = £

87 x 6

Write as a decimal9 + 3 tenths + 1 7 hundredths.

(a)

(b)

FIVES

cm

ANSWER

Write the value of the figure underlined,(a) 36.09 (a)

(b) 180.6 (b)

By how many g is 1.3 kg heavierthan 700 g?

Find the cost of 8 articles at 19peach.

By what length is 0.5 m less than10.05 m? m

Write the 24-hour clock time which is17 min later than 13.55.

How many 12p eggs can be boughtfo r£1-80?

Which two of these fractions whenadded together make a whole one?5 2 1 6 15. 5. 4, To, 5

Find the average of1.6 litres, 0.8 litres, 1.2 litres.

How may pennies remain when£2-53 is divided by 6?

Find in cm the diameter of a circlewhose radius is 85 mm. cm

Write each of these fractions in thelowest terms, (a) (b) i (a) (b)

Find the perimeter of a rectangle12.5 cm long and 3.5 cm wide. cm

8

10

What is the greatest possible remainderwhen a whole number is dividedby 9?

How many pieces of ribbon each4.5 cm long can be cut from a lengthof 4\?

A bag of rice having a mass of200 g costs 40p.Find the price per kg.

What is the 12-hour clock time whichis 1?h earlier than 13.05?Use a.m. or p.m.

Eggs are packed in boxes in layers of 20.If there are 4 layers in each boxand 5 boxes, find the total numberof eggs.

What is the missing sumof money?

£8-60* . * *

2-90

17-00

Find the size in degrees of z A

'U55 r--- z BC )

z C.

15 x 36 = 540By how many is 16 x 36 morethan 540?

A 2-litre can is TO full.How many more ml'are requiredto fill it?

A map is drawn to a scale1 cm to 10 km.Find the actual distance representedby 54 mm. km

£5[ F I V E S !

In a collection there were308 FIVES which werepacked into £5 bags.

(a) How many bags were filled? (a) ..

(b) What is the value in pence ofthe coins left over? (b)

80 cm How many tileseach 10 cmsquare are neededto cover thesurface?

13

Section 1 Test 11

ANSWER

3

4

5

6

7

8

9

10

11

12

1

2

3

4

5

6

7

8

9

10

11

12

(7 x 8) + 5

2.86 = tenths + 6 hundredths

4

~~ Ton

£2-04 x 8

How many min from 1 1 .40 a.m. to1.10p.m.?

0.6 + 0.18 + 5.4

4 kg 50 g = g

70p x 2i

504 mm = cm

fA/^lX z A + ^ B +

0.3 litre = m(

£9-00 - 100 = p

tenths

Too

£

min

g£

cm

o

mC

P

Take 0 times 9 from the product ofSand 6.

5 packets of different sizes have atotal mass of 800 g.Find their average mass.

Decrease 72p by g.

In a leap-year February has 29 days.How many days in a leap-year?

Write 9 litres 700 mf to the nearesti litre.

How much change from a £5 noteafter first spending £3 and then 56p?

Which of these fractions equal 5?4 8 1 6 1 09 T2 25 T5

What number when multiplied by 3gives 207 for the answer?

Find the cost of 2 m 20 cm at 25pper m.

What number must be added to 0.37 tomake 4.57?

17 x 7 = 119.Write the answer to 0.17 x 7.

Which of these lines are perpendicularto the line XY?

ANSWER

8

10

11

Write the next two odd numbers inthis series.995, 997, 999,

Bird seed costs 25p for 100 g.Find the cost of a bag of bird seedcontaining 1 kg 300 g.

Write each of these fractions with adenominator of 100. (a) TO (6)33 / \3

(C) 50

(a) (b)

The rainfall for three months of a yearwas 37 mm, 43 mm, 40 mm.Find the average monthly rainfall.

6 George wrote 10.6 for an answer insteadof 10.06.Find his error and write it as a decimal.

In this right-angledtriangle what is the sizein degrees of z A?

Find the time taken in h and min for ajourney of 300 km at an averagespeed of 40 km/h. h

Jack needs £3-20 to buy a book.He has saved 3 FIFTIES, 4 TWENTIESand 1 TEN.How much more must he save?

A train journey from London to Leedstakes 2 h 35 min. At what time dothese trains arrive at Leeds if theyleave London at (a) 11.25 (a)

(b) 18.45?

1 litre of water has a mass of 1 kg.Find the mass of a bottle filled wifti1.5 litres of water if the bottlehas a mass of 150 g.

(b)

kg

mm

A square of 20 cm sideis cut along both diagonalsinto 4 equal triangles.What is the area of eachtriangle in cm2 ? cm2

mi

How many1 cm centimetre cubes

are needed tomake thisblock?

14

Section 1 Test 12

ANSWER ANSWER

1

2

3

4

5

6

7

8

9

10

11

12

4

5

9

10

11

12

300 + 15 + 5000

45 FIVES = £

TO of 1 metre = cm

200 - 0.45

The ninth month of the year is

709 x 8

3.7 = hundredths

17p + 15p + 20p = £

140 g + g = 0.2kg

£23-00 •*• 5

0.7 litres - \e = rnf

3 2TO + 5

cm

hundredths

ANSWER

What number is 32 greater than 290?

Write as a decimal5 tens plus 18 tenths.

How many FIVES must be taken from3 FIFTIES to leave £1-15? FIVES

How many eighths are there in 7g ?

29th June is on a Friday.On which day is the 4th July?

Share 75p equally among 8 children.Find (a) how much each (a)

(b) how many pennies are left, (b)

What mass in kg is double3 kg 750 g?

Which of these numbers will divideexactly by both 6 and 9 without aremainder? 24 36 48 63

Find the area of a playground 30 mlong and 18 m wide.

Find the cost of 400 g at 25p per kg.

kg

From l| subtract j + |.

How manydegrees in(a) ± BDA (a)

8

10

11

12

Approximate

(a) 9.82 to the nearest whole one (a)

(b) £10-48 to the nearest £1 (b)

(c) 3.25 kg to the nearest kg. (c) kg

The kilometre reading on the instrumentin a car is 9946.2. What distance hasthe car to travel for it to read tenthousand kilometres? km

What fraction in its lowest terms is equal to(a) 8 out of 20(b) 25 out of 40(c) 70 out of 100? (a) (b) (c)

10 articles cost £2-40. Find thecost of 3.

Josh was born on 30.6/03.Write his age in years and monthson 1st September 201 5.

years months

Find the sum of the numbers between60 and 80 which are divisible by 9.

T 2cm

8cm

12 cm

Find(a) the perimeter

of the shape(A

(b) itsarea.(b)

1000 screws have a mass of 4.2 kg.Find the mass in g of

(a) 100 screws

(b) 1 screw.

A shopkeeper bought 6 balls for £1 -32 andsold them to make a total profit of 48p.For how much did he sell each ball?

A car uses 7 litres of petrol to travel 100 km.How many litres are required for1600km? (

Three lines measure0.04 m; 47 mm; 3.8 cm.Find the difference between thelongest and shortest lines.

.(b)

(a)

(b)

32 andQn

gg

p

mm

(b) z. BAG? (b)

48 centimetre cubesfit exactly into thebottom of this box.The box is 5 cmdeep.How many cmcubes are neededto fill it?

Next work Progress Test 1 on page 16.

Enter the result and the date on the chart.

<**

15

PROGRESS TEST 1

Write the numbers 1 to 20 down the side of a sheet of paper.Write alongside these numbers the answers only to the following questions.Work as quickly as you can. Time allowed -10 minutes.

1

2

Write in figures to the nearest hundredsix thousand four hundred and fifty.

Find the missing number of FIVES.£1 -65 = 2 FIFTIES, 2 TWENTIES, FIVES.

In this set of the factors of 30, one is missing. Which is it?F = {1.10, 15, , 6 , 30 ,3 ,2 }

Write as a decimal the sum of 3 hundreds and 109 hundredths.

5 How many h and min from 11.52 a.m. to 2.27 p.m.?

g By counting in the given order find the total value of the coins in the box.

8

15

17

18

19

20

5 5 507 '20T

Find the total when 1.05 is added together 8 times.

The lines AB and CD are parallel.Find the size of the angle marked x.

\f a sum of money is 54p. Find the whole amount.

10 2 6 x 8 = 208. Write the answer to 260 x 0.8.

11 On a map a road is shown as 9 cm long, which represents a distance of 4.5 km.Write and complete the scale 1 cm to m.

12 Take 650 mt'from 5 litres and give the answer to the nearest 0.5 (.

13 A regular hexagon has sides each measuring 58 mm. Find its perimeter in cm.

14 200 g of mushrooms cost 48p. Find the price of the mushrooms per \.

The circumference of a wheel measures 2.5 m.How many times will it turn in travelling 500 m?

16 A garden plot measures 12.8 m long and 8 m wide. Find its area in m2

Buttons are bought at 4p each and sold at 7p each.How much profit is made after selling 200 buttons?

The mass of a 10p coin is 6.5 g.Find the mass in kg of the coins in a £1 0 bag of TENS.

How many 6 cm square tiles are required to cover a rectangular surfacemeasuring 54 cm long and 48 cm wide?

Of these 20 examples 6 were wrongly answered.What fraction, in its lowest terms, was correct?

This page from Mental Arithmetic 4 may be photocopied afterpurchase for use in the purchaser's teaching establishment only. 16

© Schofield & Sims Ltd

Section 2 Test 1

ANSWER ANSWER

1 Write in figuresthirty thousand and fifteen.

2 2006 - 600

3 3 TENS and 6 FIVES = TWOS

4 10.04 = hundredths

5 56 x 20

6 36 cm = m

7 0.850kg = g

8 4.05 + 2.05

9 0.72 + 8

10 29 + 13 = 7 x

11 £0-95 = 3 TWENTIES + FIVES

12 wj of £3-00

TWOS

hundredths

m

FIVES

How many packets each containing100 cards can be made from thirteenthousand cards?

Find the change from £1 after payingfor 3 oranges at 29p each.

7 of the mass of a container is 600 g.Find its total mass in kg.

ABC is an isoscelestriangle. Find thesize in degrees of the(a) angle at B (a)

(b) angle at C. (b)

Three bottles contain 1.3 litres,0.9 litres and 0.5 litres.Find in mf the average of thesequantities.

kg

1

2

6

8

10

11

12

ANSWER

Find the product of 0.55 and 6.

What fraction of the square is(a) shaded(b) unshaded?

(a) (b)

Find the total of79p, 41pand85p.

Write in 24-hour clock times(a) 5 min to 9 in the morning

(b) 10 min past 10 in the evening.

By how many m is 2 km less than2.350km?

What fraction in its lowest terms is10 out of 60?

(a)

(b)

What is the cost of 2 m 10 cm at 40pper m?

By how many kg is 15 kg greaterthan 350 g?

Find the total cost of 100 articles at7p each.

What is the value in ml of the figureunderlined in 7.360 litres?

By how much is the total of 7 TENSand 3 FIVES less than £1?

Write in figures to the nearest 100twenty thousand nine hundredand six.

m

kg

mC

8

10

11

12

A bus journey takes 47 min.If a bus starts at 09.50, at what timedoes it arrive?

40 m

GARDEN PLOTAREA 480m2

Find the width ofthe garden plot.

The population of a town is 59 609.Write this number to the nearest 1000.

The bus fare for a child is half that ofan adult.Find the total fares for mother, fatherand 4 children if a full fare is 54p. £

A plan is drawn to a scale of 1 mm to 50 m.What length in km does a linemeasuring 5 cm on the planrepresent?

40 tiles each 10 cm square cover asurface exactly.What is the area of the surface?

8 cm 9 cm -

RECTANGLE

Which shape has the greater perimeterand by how many cm?

km

cm

18

Section 2 Test 2

1 U t h

i •

2 100 x

ANSWER jg«B ANSWER

th Write in words as a 1 Divide 1655 by 100 and write thedecimal the number shown answer to the nearest whole one.on the abacus picture.

_

- 10000 ©••

3 2.8km - 300 m = km km

4 74p x

5 3.405

6 0.065

3 Plums a8 = £ £ How mi

+ 0'25 The ma-

litres = mf mf [he mas

7 5 of £4-80 p5 Mrs Sine

8 47 + 53 + 4000 of work"

9 0.75rr

10 42 -

11 3 kg -+

12 5 x 2

o1 Increa;

travel innn = s s a return

15 = x 36 James' c

90 g = kg kg What w1 st Sept

= 0.1 x

7 S~ANSWER /

;e 240 by \f 60. V

2 13 out of 2 5 = out of 100. X^

a Find the change from £3-00 after c3 j- ,--* fo o For how

spending £2- 19. p » bottle o

, From tweve thousand take nine were tathundred and forty. (A medi

— ~ ut the dots, what traction~) • • in its lowest terms is«« (a) white

(b) coloured? (a) (b)

•e priced at 3 for 35p.ny can be bought for £2-10?

s of a box of nails is 3.5 kg.s of the box is 600 g.mass of the nails in kg. kg

h lives 20.3 km from her placeHow many km does she

a five-day week makingjourney each day? km

iate of birth is 30.8/94.II be his age in years onember 2020?

>y Find in cm the\h of a

•, I diameter which is^\^V 1 twice that of the

^y given circle. cm

^/

many days would a 200-mfmedicine last if 2 spoonfuls

;en 4 times a day?:ine spoon holds 5 mf.)

5 6 times 85 Cm = m m ••§ 1S v 17 - 9RR WritP thp 3n<:\A;pr<; tn

6

8 Hownin 5j k

g Reducterms.

10 WhfLper 3 I<

11 A squi(a) its

(b) its

12 ShareHow r

y

~ (a) shaded ...(b) unshaded7

(a) (b)IQ Find the

nany mm are there in 3.070 m? mm (a)10cr

x 170 (a)

< 17. (b)

cost at £5-70 per metre ofn (a) p

lany times is 250 g contained (b) 30 cm. (b) £9?

e TO to a fraction in its lowest n A road c

Whatdis the cost of 1 00 g at 85p mao reD

g? p

ire has sides 30 cm long. FindDerimeter (a) cm >.H

area. (b) cm2 °>// — /• — -

£1 00 equally among 8 people.Tuch each?

m a map measured 4.5 cm'presented a distance of 45 km. „.stance does 1 mm on theresent? km

(a) Name the shape.^ ' (a)^/ (b) Find its perimeter.7 (b) cm

(c) Find /. A. (c) °

19

Section 2 Test 3

3

4

*6

7

•9

10

11

12

1

2

3

4

6

7

8

9

10

11

12

ANSWER

2083 - 80<r 7 5O + 10 + 1000-

Write the answer as a decimal.

2050 mm = m

3 h - 25 min = min

6 TWOS + 5 FIVES + 3 TENS

78.5 •*• 100

m

mm

0.5 litre - 345 mf =

27 + 18 = x 5

1.8kg - 3 = g

| of £3-60

ml

100

ml

ANSWER

Write as a decimal the total of elevenplus twenty-six thousandths.

Find a number which when multipliedby itself gives as the answer(a) 64 (b) 49. (a) (b)

What is left after taking 17p from4 TWENTIES?

Write the decimal fraction which isequal to jV

How many min from 10.55 a.m. to12.30p.m.?

By how many m is 1.4 km longerthan 1250 m?

mm

m

Find the difference between thelargest and smallest of these decimals.3.4 3.401 3.41

How many pennies remain when68p is divided by 7?

Multiply 4.050 kg by 100.

Find the average of these lengths.5.4 cm, 4.6 cm, 3.5 cm

What speed in km/h is the same as4j km in 12 min?

How many times is 260.6 greaterthan 2.606?

kg

cm

km/h

8

ANSWER

Increase forty thousand by sixhundred and three. Write the answerin figures.

Multiply the product of 8 and 7 by0.1.

On a Celsius thermometer, at whattemperature does (a) water boil (a)

(b) water freeze? (b)

A car travels 120 km in 15 h.Find its speed in km/h.

A box contains 10 tins of fruit eachhaving a mass of 223 g.Find the total mass to the nearest2 kg allowing 230 g for the box.

km/h

kg

By how many hundredths is/~\ " I _ ._ 1 ' "0.82 less than 55? hundredths

250g

62p

100g

25p

The prices of twosizes of bags ofbird seed are given.

How much is saved by buying thelarger bags when purchasing500 g?

A line is drawn to a scale of 1 cm to 1 m.(a) Write the scale as a fraction in

its lowest terms. (a)

(b) What distance in m is representedby 1 mm? (b) m

Which two of these fractions are eachequal to 1?15 16 10 20TS 25 T5 24

10 Port

N

A ship sails Eastfrom Port andthen turns SE.At what anglefrom N is the shipnow sailing?

A rectangle measures 8 cm by 6 cm.What is the length of the sides of asquare which has the same perimeter? err

12 *14 cm Find these measurements

of the shaded triangle,(a) the base (a)

(b) the height (b)

(c) the area (c)

20

Section 2 Test 4

ANSWER ANSWER

1

2

3

4

5

6

7

8

9

10

11

12

4 of ten thousand

6 x 0 x 9 x 3

0.9 + 2.145

96p x 6

1632-4

£5-00 - 8 FIVES = £

351 0 0 - 2 0

400 g + g = 0.75 kg

2 h 25 min + 50 min

3.5 km - 2900 m = m

£0-77 = 6 TWOS + FIVES

\w/ Angle x =

/\e y =

1

2

3

4

5

6

8

9

10

11

12

Find the product of 0.4 and 9.

What is the answer in g when24.5 kg is divided by 100?

From 50 take 0.01.

How many days are there betweenChristmas Day and New Year's Day?

Find the total of 6 TWENTIES and7 TENS.

Write 0.05 as a fraction in its lowestterms.

Which of these numbers will divideinto 81 without a remainder?2 3 5 6 9

Find the cost of 3.5 litres at 26p per2 litre.

Which of these decimal fractions isequal to!? 0.7 0.65 0.75

The diameter of a circle is 15.6 cm.Find its radius in mm.

5.4 H- 6 = 0.9Write the answer to (a) 0.54 -s- 6

20

mm

m

FIVES

ANSWER

mm

(a)

(b) 0.054 + 6. (b)

Two angles in a triangle addedtogether make 124°.Find the third angle.

8

Find the number which is equal to(9 x 102) + 6.

How many 4p sweets can be boughtfor £6-00?

Find in m the length of ribbonrequired to make 200 pieces each8.3 cm long.

What fraction in its lowest terms isequal to (a) 0.6 (b)0.16? (a)

Midday Celsius temperatures on threeconsecutive days are 17°, 15° and 19°.Find the average temperature.

1 litre of water has a mass of 1 kg.Find the volume in litres of the waterin a bottle if the water has a mass of780 g

An article priced at £4-20 was soldin a sale at a reduction of 3.Find the sale price.

On the chart each pin person *represents 50 people employed in afactory.How many work in the factory?

Jack found the mass of 10 screwsto be 95 g.Find the mass in kg of 100 screws.

ABC is an equilateraltriangle. Find(a) its perimeter

in cm

86 mm

(b) the size of theB angles at

BandC.

11 Yasmin went shopping with a £5note in her purse. She had left2 FIFTIES, 1 TEN and 6 TWOS.How much had she spent?

1212 cm

Find the area of(a) the rectangle

(b) the triangle.

7 cm

m

(b)

kg

cm

Turn back to page 16 and work for the secondtime Progress Test 1.

Enter the result and the date on the chart.

21

Section 2 Test 5

ANSWER ANSWER

3

4

5

6

7

8

9

10

11

12

1

2

3

5

6

7

8

9

10

11

12

20000 = 20 x 10 x

0.817 = 8 tenths + thousandthsthousandths

57 x 70

3.2 m +• 8 = cm

24 - (18 x 0)

£20-36 = TENS + 6p

4 15 ~ 2

65 ml x 100 = litres

2.6 cm + 3.9 cm = mm

£ x 9 = £40-50

1.5 kg - 280 g = g

6 x 5 = 0.1 x

cm

TENS

mm

ANSWER

Write as a decimal1035 thousandths.

Approximate 59.7p to the nearestpenny.

Q

(a) To = TOO

(b) Write the fraction as a decimal.

Which two of these angles whenadded together make two right angles?67°, 103°, 87°, 113°

How many times is 0.48 less than480?

Find in mm the value of the figureunderlined. 7.075 m

9 out of 25 = out of 100.

How much change out of a £5 noteafter spending £1 -46?

j kg of tomatoes costs 80p. Findthe cost of 100g.

What fraction of 3 (is 150 m! 1

Which of these fractions is betweenone half and one quarter in size?

p

(a) 100

(b)

es?o O

mm

£

P

3 2 7 35 3 TO 8

Find the area of(a) the rectangle (a)

(b) the shadedtriangle. (b)

10 cm

8

10

11

How many bottles each holding 4 litrecan be filled from 72 litres?

A packet of 100 sheets of paper costs£2-30. Find the cost of 150 sheets.

Take the least of these decimalfractions from the greatest.0.84 0.9 0.865 0.897

Josh swims 15 lengths of the bathwhich is 20 m long.How many m short of j km doeshe swim? m

The large cube is madefrom a number ofcentimetre cubes,(a) How many cm

cubes arethere? (a)

(b) 43 =

Ryan saved 60p which was | of hispocket money.How much was all his pocketmoney?

(b)

2.8 kg of tea was put into 10 packetsof equal mass.How many g were there in eachpacket?

B AB and CD are~ parallel lines. FindD (a) angle x (a)

(b)y/ (b) angle y.

The total cost of 2 full fares and1 half fare was £55. Find(a) the full fare

(b) the half fare. (b)

What is the area in m2 of a path whichmeasures 29 m long and 50 cmwide?

A distance of 9.875 km was written as'10 km to the nearest km'.By how many m was theapproximation incorrect?

The circumferenceof a circle is 3.14times the diameter.Find thelength of thecircumference ofthis circle. en-

22

Section 2 Test 6

1

2

3

4

5

6

7

8

9

10

11

12

D1

2

3

4

5

6

7

8

9

10

11

12

ANSWER ^«g

1200 - 30 1 By

7p + 5p + 8p + 25p p Ar

(7 x 9) - (8 + 5) (a)

(b)25 ~ Too 100

how many is 82 greater than 33?

proximate 25 948to the nearest 1000 (a)

to the nearest 100. (b)

a Find the date which is 9 days after900 g + 500 g = kg kg J 76th sPptPmhPr

q

two 1000 4 Hete

£0-86 - 19p = p p

W2 km - 540 m = m m => ,

9.92 + 0.02 9U

zl250 m? x 6 = litres (

6 A2 m 80 cm ^ 4 = cm cm [s.

>180° - (63° + 57°) °

ANSWER c

Write as a decimal the total of A7 9 7

200, 6, TO andjooo- js (

From the product of 7 and 9 take fiv

their sum. wpie

Write as a vulgar fraction in itslowest terms (a) 9 out of 30 G6

(b) 24 out of 40. (a) (b) sa\r

How many days altogether are there in atthe months of April and May?

Find in g the value of the figures 9 ^r

underlined. 4.075 kg g F'rm;

What must be added to 9.405 to 1 r

make 10?

Change to decimal fractions 10(a) g (a)

(b)J,. (b) n A. w/ If A = z B of

/^~~~*Sb>-'*\^ f'nd *ne size wc/\ 4^^ B i _ _ Q-f ga^p angle ° ^jp

Divide £2-75 by 10 and write theanswer to the nearest penny. p 12

Find the cost of 1 .2 m of tape at40p per m. p /

Find in cm the perimeter of anequilateral triangle, the sides of whichmeasure 27 mm. cm

iw many TWENTIES are there inT £10 bags of TWENTIES?

lat is the difference in ml between2 largest and smallest of theseantities?tre, 450 ml, \, 620 ml ml

ABC is a right-. angled triangle.y"\d in degrees\ (a) the angle

:Nr— \d x (a)

B (b) the anglemarked y. (b) °

ength of plastic strip 54 cm long:ut into two pieces so that one ise times as long as the other,lat is the length of each>ce? cm cm

orge spent £80 which was | of his/ings,d the amount of his savingsfirst. £

a map, a line 3 cm long represents 1 50 km.d the scale to which thejp is drawn by completingnm to km. km

5p coin has a mass of 3.25 g.d in g the mass of 40 FIVES. g

:ircular tin has a diameter of 6.4 cm.hat is (a) the length, (b) the widththe smallest rectangular tray which)uld contain agle row of 8 tins? (a) cm (b) cm

. Find the area of>K (a) the triangle

£ \C (a)u ^V

00 ^v (b) a triangle— * -^-B having the

»HHem same base

but half theheight of

ABC. (b)

23

Section 2 Test 6

1

2

3

4

5

6

7

8

9

ANSWER K«B

1200-30 1 By

7p + 5p + 8p + 25p p Ac

/7 v/ Ch /Q i ^ ^ '

« = TOO TOO

how many is 82 greater than 33?

proximate 25 948to the nearest 1000 (a)

to the nearest 100. (b)

, Find the date which is 9 days after900 g + 500 g = kg kg 3 26th September

qA OOP A _i_ i_

- 4 ' 1" 'TOGO 1000 „ He" ter

£0-86 - 19p = p p

W2 km - 540 m = m m th<

9.92 + 0.02 9U

w many TWENTIES are there ini£10 bags of TWENTIES?

nat is the difference in mf between; largest and smallest of theseentities?

2 Hire, ^DU mt, 5 nire, ozu mr me

10

11

12

O1

2

3

4

5

6

7

8

9

10

11

12

250 mC x 6 = litres (6 A

2 m 80 cm - 4 = cm cm [\

180° - (63° + 57°)

ANSWER C

Write as a decimal the total of A7 9 7

200, 6, ToandTooo- ^ ,

From the product of 7 and 9 take fiv

their sum. wpie

Write as a vulgar fraction in itslowest terms (a) 9 out of 30 <36

(b) 24 out of 40. (a) (b) sa\r

How many days altogether are there in atthe months of April and May?

Find in g the value of the figures 9underlined. 4.075 kg g F'r

m<What must be added to 9.405 to 1 r

make 10?

ABC is a right-angled triangle.

X\d in degrees^v (a) the angle

;NC~"X marked x (a)

B (b) the anglemarked y. (b) °

ength of plastic strip 54 cm longrut into two pieces so that one is9 times as long as the other,lat is the length of each>ce? cm cm

orge spent £80 which was 5 of his/ings.d the amount of his savingsfirst. £

a map, a line 3 cm long represents 1 50 km.d the scale to which thejp is drawn by completingnm to km. km

.-, m A 5p coin has a mass of 3.25 g.Change to decima fractions 1U r. \. r^nrwrr; v 21 , x Find in g the mass of 40 FIVES. g(a) 50 (a)

(b)l (b) 11 A/ "/ If ^ A = ^ B of

/^/t^C ^nd the s'ze we3 ill

Divide £2-75 by 10 and write theanswer to the nearest penny. p 12

Find the cost of 1 .2 m of tape at40p per m. p /

/

Find in cm the perimeter of anequilateral triangle, the sides of whichmeasure 27 mm. cm

:ircular tin has a diameter of 6.4 cm.hat is (a) the length, (b) the widththe smallest rectangular tray which)uld contain agle row of 8 tins? (a) cm (b) cm

. Find the area of>K (a) the triangle

4 \C (a)5 ^v00 ^v (b) a triangle— '• — -B having the

14cm same basebut half theheight of

ABC. (b)

23

Section 2 Test 7

2

3

4

c

6

7

„

9

10

11

12

3.

5

8

9

10

12

mf

(b)

ANSWER

Write in figures the numberforty thousand six hundred and five.

(55 - 8) - (7 x 0)

12 weeks = days

TO of 1 i litres = ml

Write as a decimal fraction, , 59 ,. \ , >(a) TOO (b)Too- w

10.2 - 3.07

5.405 m = mm

4 TWENTIES + 2 TENS + 9 TWOS= £ £

(a) 0.45 =

^ °-08 = TS- (a) TOO (b) 25

208g + 1 . 5 k g = kg kg

p x 6 = £4-56 p

rem.

mm

755 rem

ANSWER

(a) What decimal fractionof the 100 smallsquares is shaded? (a)

(b) Write this decimalfraction as a vulgarfraction. (b)

47 out of 100 = 47 per cent (%).Write as a % (a) 79 out of 100

(b) 4 out of 100.

By how much is £15 more than 15 FIFTIESJ?

Find in mCthe value of the figuresunderlined. 8.305 litresExpress in km/h a speed of 90 km in45 min.How many days are there between28th November and 7th December?89% of a sum of money is spent.What percentage is left?

Find the cost of 600 g at £0-50 per \g

A B

(a)

(b)

%

%

S? £

mC

km/h

%

g. P

/Name the parallel sidesin the parallelogram.

Approximate(a) 10 046 to the nearest 100 (a)

kg(b) 3 kg 370 g to the nearest 0.5 kg. (b)Find the change from a £10 noteafter spending £7-62. £The area of a rectangle is 47.5 cm2.Its width is 5 cm. Find its length. cm

8

10

11

12

ANSWER

Write each of these fractions with adenominator of 100. (a) TO (b)? (c) 35

A school was built in 1902.For how many years will it have beenin use by the year 2020.

What decimal fraction is equal to

(b) 8% ? (b)

How many packets each containing365 g can be made from 36j kg?

Write the next two decimal numbersin this series.1.75,2.0,2.25, ,

Prices in a shop were increased by 3.Find the new price of articles whichcost (a) 48p (a)

(b)84p. (b) £

From a can holding 10 litres of oil,2.75 litres are drawn off. Find in litres

' which m

The sides of the cube

Find the area of(a) 1 face (a)

(b) all the faces. (b)

The average length of 3 pieces ofwood is 13 cm. Two of the piecesmeasure 12 cm and 18 cm.What is the length of the third

cm

10 articles cost £8-40.Find the cost of 3 articles.

Mortar is made by mixing 1 partcement with 4 parts sand.Find the mass of(a) cement(b) sand to make 30 kg of mortar.

(a) ki

k-

The path round the5 1 m wide,le area of the

lawn.

24

Section 2 Test 8

^F^B

1

2

3

4

5

6

7

8

9

10

11

12

111

2

3

4

5

6

7

8

9

10

11

12

50 000 = 500 x

(27 + 3) = ( +• 7)

(a) j= out of 100 (a)

\ % %

( b ) g = out of 100 (b)

1 = % %

1 ' 7' 3 - 1 0

5j min = s s

18.3 + 18.3 + 18.3 + 18.3 + 18.3

£0-19 x 6 £

TO ~ TTTP; ~ ' ° Tnn ~~ %

4.385 - 4.325

30f75p p

850 g x 4 = kg kg

£4-20 = 6 FIFTIES + TWENTIES TWENTIES

Which of these numbers aremultiples of 8?36 48 60 72

Write as a percentage (a) TQ| (a) %

(b) 0.07. (b) %

What distance is travelled in 1 5 minat 72 km/h? km

Find the cost of 750 g at 48p per kg. p

What must be added to £4-74 tomake £6-00? £

Write in 24-hour clock time a quarterof an hour earlier than 23. 1 0.

^ E Find the area of the^tf 1 right-angled triangle.

10.5cmIn a class 36% of the children wereboys. What percentage were girls? %

360° - (80° + 75° + 120°) ° °

Find to the nearest penny § of 95p. p

Find the average of these volumes.650 mf, 800 mf, 350 mf ml'

f~ ~\t is the perimeter/ \n cm of a regular( HEXAGON \n each side ofV / which measures 58 mm?\ cm

K«B ANSWER

1 Write these decimal fractions aspercentages, (a) 0.3 (a)

(b) 0.07 (b)

(c) 0.84 (c)

2 Leah had in her purse 3 FIFTIES,2 TWENTIES and 2 FIVES. She spent£1-17. How much had she left?

2 A girl wrote 7 tens instead of 7 tenthsfor an answer.By how much was her answer wrong?

& What is the value of 1% of(a )£1 (a)

(b) 1 kg? (b)

5 I I 1 1 1 1

The diagram represents a length of 100 m.Find the length representedby the shaded part.

6 Shahid spends 38% of his pocket moneyon bus fares and 24% on sweets.What percentage of his moneyremains?

7 A penny has a mass of 3.56 g.Find the mass in kg of £10 of pennies.

o ./'*'*"~'*'VS. The radius of the inner/ /^~~*^\\e is 56 mm and theI f \d ring is 16 mm wide1 { ' } ] Find in cm theV \ J I diameter of the\/^— -x'/ outer circle.

9 20 tins of sweetcorn were bought for £1 0.80and sold at 60p per tin.Find the profit after selling all the tins.

£

10 "Round off" each of these numbers tothe nearest whole one. (a) 9ri (a)

(b) 100.06 (b)

(c) 4.8 15 (c)

11 Tom received 2p each time Meganreceived 3p. How much did theyeach receive from a total of £2-00?

Tom p Megan £

12 K m X How many tiles parh

the surface?

Turn back to page 16 and work for the thirdtime Progress Test 1. Enter the result andthe date on the chart.

%

%

%

P

P

g

m

%

kg

cm

25

Section 2 Test 9

ANSWER ANSWER

3

4

5

6

7

8

9

10

11

12

2

3

4

6

7

8

9

10

11

12

Write in figuresone hundred and four thousand.

£ 1 - 1 1 + 8p + 9p + 24p

0.35 = thousandths

2.8 litres - 630 ml

350 g x 5 = kg

TO) of £500

7 m 28cm H- 8 =

297 + 103 = 40 x

thousandths

ml

kg

cm cm

1 , 3 2\ - (TO + 5)

8 x 7 =

14-42 fL. ^ — r_

(a) 3 = 0.25 =

(b) ! = 0.75 =

x 0.1

(a)

(b)

ANSWER

Write as decimal fractions (a) 55

(b)i.What is the difference in g between1! kg and 950 g?

What length when divided by 6 isequal to 2 m 50 cm?

The three angles of a triangle eachmeasure 60°. Name the triangleaccording to (a) its angles (a)

(a)_

(b)

m

(b)(b) its sides.

Find the value of(a) 50% of 650

(b) 25% of £0-72.

How many times is 200 ml containedin 2.8 litres?

(a)

(b)

Approximate to the nearest cm(a) 20.3 cm

(b) 79 mm.

Write in its lowest terms the vulgarfraction which is equal to 75%.

Find the length in m which is equalto the figures underlined. 6.535 km

At 75p per j kg find the cost of(a) 1 00 g

(b) 300 g.

(a) cm

(b) cm

m

(a)

(b)

Find in cm the perimeter of a rectanglewhich is 65 mm long and 30 mm widle.

(a) 0.1 = %

cm

(a) %

(b) 0.4 = (b)

11

12

18% of the people at a concert weremen, 39% were women and the restwere children.What percentage were children?

Katie went on holiday on 29th Julyand returned on 7th August.For how many days was she on holiday?

Josh saved jof his pocket money andspent 1 of the remainder.What fraction did he spend?

The population of a small town wasten thousand. 30% of the peoplewere under the age of 25.How many was that?

What is the length incm of the longest straightline which can bedrawn in this circle? err

50% of a sum of money was £7-00.Find (a) the whole sum of money (a)

(b) 75% of all the money.

How many packets each containing0.2 kg can be made from 35 kg?

(b) £

A fruit drink contains 7 parts of water and 1 partof juice. How many mfof each are requiredto make 2 litres?

ml mt

A boy's walking pace measures 60 cm.How many m has he walked after taking50 paces? m

The mass of 120 kg of dry sand isincreased when wet by 10%.Find its mass when wet. kg

An article costing £25 is reduced by23 for cash payment. Find(a) the price reduction (a) £

(b) the cash payment price. (b)£

Find the area of(a) the front

(b) the end

(c) the bottom of the box. (c)

26

Section 2 Test 10

I

o • ANSWER K«B

1 6009 + = 8000 H| F

2 £3-75D

+ £3-75 + £3-75 + £3-75 £

3 ^ of £2-00 p 2

4 165 =

5 19 min

6 " = TO7 £2-00

8 TO of 1

9 0.48 x

\fthirds ~3~

ANSWER

nd the profit on an article which wasought for £8-35 and sold for £10. £

wo angles of a triangle each measure 78°.

3) Name the triangle by itssides. (a)

+ h min = 3 h h min (b) Find the third angle. (b) °

5 = % Too= %• K

- (78p + 30p) p p

m 80 cm = cm cm

9 V

_ 2 kg 400 g10 5

11 (a) 0.7

(b) 0.9

12 £0-64

OHi :

9 y% (a) % 4 4

= % (b) % U

x f i f £ °X D — L t

5ANSWER /

^^ [

j ii _-. _,. _

7.8cmH

le line has been drawn to a scalemm to 10 m.

i/hat distance in m does it represent?m

0% of a sum of money is £36. Find

3) 1 0% of the sum of money £

)) the whole sum of money. £

s^TFZ^ (a) Name the regular£s \^\\e drawn in the

\Jp i circle

V /\) What is the size of\J \J/ the anqle shaded

at the centre? °

bus runs every 35 min starting at7.40.

(b) unshaded. (b) % At what time does the third bus leave?

2 How many right angles are there in ,270°? 7

3 By what length is 50.4 km longerthan 47; km? km „ T

4 Increas

_ How rr3050 n

6 4 of a s50% o

7 Expressin 10rr

8 Write a(a) 20°/

(b) 2%

g Appro>

(a) 7.6!

(b) 385

10 Find th

11 (a)Wrh

(b)Wh

12 Use thearea oland b

ow many badges at 3 for 20p can beought for £3-80?

he circumference of a circle is found_ f T ~7o i-\ f~\o/ c Trom THc TOrrTiUla \ — TTO.

any mf must be added to a

ifto make 3^ litres? m£

urn of money is 79p. What is 9 ": the money? £

in km/h a speed of 6.5 km J

lin. km/h

s a fraction in its lowest terms(a) 10 0

V

(b)

imate to the nearest 2 kg

>0kg (a) kg 11

0 g. (b) kg

e product of 0.2 and 0.3.

.e 20% as a decimal fraction, (a)

at is 20% of one thousand? (b)

nd d = 5 cm. cm

: ^ Use the formula

156cm of the triangle. cm2

.5 kg of mushrooms cost £1-20.Vhat is the cost of (a) 1 00 g (a) £

(b) 0.9 kg? (b) £

^^?<^ijjj^£^\s shape is built^^^^^s^^-'^\m cm cubes...

- - -QdJ-rp^ Find 'ts dimentions.

(a) length (a) cm

(b) breadth (b) cm

(c) height (c) cm? formula A - Ib to tmd the

a rectangle when I = 16.5cm How many cm cubes are used to

= 9cm- cm " build the block?

27

Section 2 Test 11

>3

«

*

6

7

8

9

10

11

12

1

4

5

6

8

9

ANSWER

'O3 = 10 x 10 x 10 =

1100 - 280

490 g = kg

3.094 + 0.06

(a) 4) = %

(b) 0.36 = %-.3 -,73a - 2g

9 metres -H 30 = cm

£0-08 x 14 = £

60% = -5-

175 seconds = mm s

0.073 = thousandths

75% of 1.2 kg = g

(a) %(b) %

cm

mm

thousandths

ANSWER

Find the total in litres of700 mf, 300 mf and 450 ml'.

How much greater than i is(a) 0.64

(b) 0.502?

What is the time I h later than23.20?

Find the cost of 50 g at £1 -40 per;kg.

How many times is 370 contained in37 000?

Write each of the following as(a) an improper fraction(b) a mixed number.

67 tenths (a)

(b)

23 sixths (a) (b)Find the difference between 3 of£1 and 0.8 of £1.

How many g are there in § of 1 kg?

Write each of these percentages as(a) a decimal, (b) a fraction inits lowest terms.

80% (a) (b)

30% (a) (b)

What is the value of x when 39 lessthan x is 76?

What percentage of £1 -00 is(a) 54p (a)_

(b) 6p? (b)_

Find in m2 the area of a rectangle16.8 m long and 50 cm wide.

1

6

7

8

10

11

12

ANSWER

Find the numbers between 30 and 50which have both 4 and 6 as factors.

The average amount saved by 7children was 83p.How much was saved altogether?

From the diagramfind and namethree obtuseangles. ±

B

The distance between two towns is580 km. If a map is drawn to a scaleof 1 cm to 100 km what length inmm represents this distance?

Write as a fraction in its lowest terms(a) 100 g of 400 g (a)

(b) 9 km or 45 km

(c) SOOmfof 15 litres. (c)

What is the Celsius temperature for 7°below zero?

How long in h and min will it take acar to travel 325 km at a speed of100km/h?

Find the missing divisor in this example.9 rem. 6

T87-

A bag contained an equal number ofTENS and FIVES to a total value of £4-50.How many coins were thereof each kind?

By putting in a decimal point makethe 7 in each number have the valueof 7 thousandths, (a) 2070 (a)

(b)67 (b)

Find the least number of pence whichmust be added to £2-55 to make itdivisible exactly by 7.

A carpet 6.5 m by 4 m isfitted on to a'floor toleave a border of 50 cmwide. Find(a) the length (a)

(b) the breadth ofthe room. (b)

Turn back to page 16 and work for thefourth time Progress Test 1. Enter the resultand the date on the chart.

28

Section 2 Test 12

ANSWER ANSWER

1

2

3

4

5

6

7

8

9

10

11

12

1

2

3

4

5

7

8

9

10

11

12

70000 = 10 x 100 x

4.505 = thousandths thousandths

3 m 40 cm + 1.8 m = m cm

40 x 2\7 kg + 2.4kg = g

l o/25 = TOO "

20 000 + 800 + 6

5.35 - 0.035

£70 + 20

40% of 900

350 m( x 8 = litres

100% of £3-86

m cm

100 = %

ANSWER

By how many is 30 090 less thanforty thousand?

Find the total value of these amounts.47p, 62p, 13pand 18p.

What fraction of 1 hour is(a)12min (b) 50 min? (a) (b)

Find in pence 5% of £4-00.

How many degrees arethere turning clockwise(a) from SE to W (a)

(b) from N to SW? (b)

Find the difference between the largestand smallest of these numbers.2.202, 2.02, 2.22

What is the cost of 800 mf at 90pper litre?

By how many twelfths is 3 lessthan 3?

What percentage is(a) 20 of 200

(b) 250 g of 1 kg?

Find the value of x whenx5 = 3 x 9 .

Find to the nearest penny

(a)

(b)

8Find the area in cm2 of a trianglewith a base of 75 mm and a heightof 10 cm.

8

10

11

What number when divided by 6equals the product of 5 and 9?

How many h and min are there from09.40 to 13.25? h

RECTANGLE, RHOMBUS,PARALLELOGRAM, TRAPEZIUM

Of these quadrilaterals which has(a) 4 equal sides (a)

(b) one pair of parallel sidesonly? (b)

20% of 700 children at a school stayfor dinner. How many(a) stay (a)

(b) go home for dinner? (b)

How many sectors ofthe given size can becut from the circle?

7 packets of equal mass together havea mass of 4.550 kg.Find in g the mass of each packet.

Which of these numbers are multiplesof both 6 and 8?16, 24,30,36,42,48,64

crrr

One part of weed-killer is mixed with5 parts of water.How many mfof each are required tomake 1.5 litres of weed-killer?

Jack buys a bicycle for £80 and paysfor it by weekly instalments of 5%.(a) For how many weeks does he

pay? (a)

(b) How much is the weeklypayment? (b)

The area of a triangle is 72 cm2 andits height is 8 cm.Find the length of the base.

A car travels 10 km on 1 litre ofpetrol. How much petrol does the caruse if it travels on average 450 kmdaily for 6 days?

12 (a) How manycm cubes fitexactly into thebottom ofthe box? (a)

(b) If the box is 3 cmhigh, how many cmcubes are neededto fill it? (b)

Next work Progress Test 2 on page 30.

Enter the result and the date on the chart.

mm

ml'

cm

29

PROGRESS TEST 2Write the numbers 1 to 20 down the side of a sheet of paper.Write alongside these numbers the answers only to the following questions.Work as quickly as you can. Time allowed -10 minutes.

Write in words the number which is equal to (7 x 103) + (8 x 102).

2

3

4

5

6

7

8

9

10

11

12

13

Katie has saved £2, 5 TWENTIES, 7 TENS, 6 FIVES and 8 TWOS. By howmuch is the total less than £ 10?

What fraction in its lowest terms is 150 mt of 750 m£?

g of a sum of money is 63p. Find the amount of all of the money.

The diagram shows how Mrs Wilson spends her housekeeping money.What percentage of the money is spent on food?

59 x 37 = 2183. Write the answer to 0.59 x 37.

Using the scale 1 mm to 0.5 m find the length of a line in cm whichis drawn to represent 67.5 m.

90% of the children in a school of 580 went on a school journey.How many children remained at school?

-• LingTroup 10.4km

The width of a rectangular garden path is 50 cm. Its area is 27.5 m2.Find its length!

Find the mass in kg and g of 20% of 18.5 kg.

How much less than j is 0.094? _

Find to the nearest km the distancefrom Troup to Ling.

7 In this parallelogram find in degreesthe angle marked y.

14

15

16

17

18

19

Prices at a sale were reduced by 5%. How much is paid for an article priced at £1 -80?

How many discs of 4-cm radius can be fitted exactly into one layer at the bottom of arectangular tray which is 64 cm long and 16 cm wide?

Find to the nearest penny the cost of 1.5 m of ribbon at £1 -05 per m.

How many cm cubes are needed :c * :~e ::•"

How many times is 30 greater than 0.03?

How much cheaper is 300 g of broccoli at 80p per \g than the sa~e ~a=3 a:£1-10 per; kg?

By how many cm2 is the area c* :~e v a-; e - 5 Igreater than a triangle on tie sa~e case :..:half the height?

12cm

This page from Mental Arithmetic 4 may be photocopied afterpurchase for use in the purchaser's teaching establishment only. 30

fSection 3 Test 1

w

12

2

MESSy*'.

4

5

*6

7*i-

fc.

8

10

11

i 12

ANSWER

Write in figurestwo hundred and six thousand andforty.

2

3

4

5

6

7

8

9

10

11

4.008 = thousandths

39 x 200

17 TWENTIES and 6 TENS = £

1.48 - 0.8

7.045 km = km m

1 0% of 3 kg = g

\f £1-40

450 mC x 8 = litres

(^ = -

\ - 18 min = min

thousandths

£

km m

g

pc

^

To

min

£8-96

ANSWER

Find the total of 17p, 34p and 29p.Write the answer as £s.

What fraction in its lowest terms is150 ml'of 1 litre?

Approximate to the nearest whole(a)number (a) 9j

(b) 24.06. (W

Find the cost of 5.2 m at 40p per m.

By how many is 99 060 less than onehundred thousand?

Write the 24-hour clock time whichis 16 min later than 23.45.

How many times is 4 contained in43?

What percentage is(a) 3p of £1-00

(b) 35 cm of 1 m?

Find the difference between0.850fand900mf.

What mass in kg is 7 times 350 g?

Find the perimeter of a rectanglewhich measures 8.4 cm by 5.9 cm.

x x 9 = 7 m 200 mm. Find thelength in mm which is equal to x.

(a) %

(b)

mf

kg

cm

10

11

ANSWER

How many hundredths must be addedto 3.81 to make a total of 4? hundredths

A bottle holds 250 mi1 of medicine.How many bottles can be filled from10 litres?

Of the people attending a footballmatch 57% were men, 29% were childrenand the remainder women.What percentage were women?

A car travels at a speed of 70 km/h.How far does it travel in 90 mm?

By how many pennies is 7 TENSgreater than the total of 8 FIVES and9 TWOS?

km

What fraction of the circleis (a) unshaded (a)

(b) shaded? (b)

A metal strip is 20 cm long.How many such strips can be cut from2 lengths each 5 m 60 cm?

A bus arrived at the station at 18.23but it was 35 mins late due to fog.Find the correct arrival time.

The price for ~ kg of carrots in 4consecutive weeks was 36p, 32p,28p, 24p.Find the average price per 2 kg.

ABC is a triangle•Ascribed in asemicircle.Find in degrees thesize of /L BAC

/. ABC.

A map is drawn to a scale of 1 cmto 1 km. Express this scale(a) as a fraction (a)

(b) as a ratio. (b)

Find in cm2 thearea of(a) the front (a) crrr

mm

(b) the end (b) cm2

(c) the bottomof thebox. (c) cm2

32

Section 3 Test 2

^r-~ - .: - zs the number, ~ - ~r

:~ - = • ~

"\• ::

litres

gh min

:- • = :

a decimal the total of

ANSWER

km

(b)

mm

ANSWER

: -=-:—-- : —-5 :-::.:: :; 7, 9 and 5.

--- : - - T :;;::• 750 g at 48pa^ - :~ P

r - r* —any sixths is \r~^r- - '

I B | C |A %

—: ; : . z±z >~to 3 parts.-£- :-^:r--;:e r :hie whole is "

'ES=- ---' c %——= - ; "e .a .e of the 7 in- ' 9-~: Te -_—:•=- ;• days, net—-_ ;---;-": -'cm 21st June

jKr~:r 12 El :. 2 J : c . £

:-r--r :~e argest and smallest-vi - _ — C-""5

: 1.2-001,2.101B -'.- • - jndredths is 9.07

hundredths

s. £ I f I :: :~e nearest £ (a) £

e(b) f

:—: "r a'es ;• 3 rectangle:~:::I —' .•, de cm2

8

10

11

12

A man cycled 30 km each day for afortnight. How many km did hecycle altogether?

Samina paid 46p with a £1 coinand received three coins as change.Name the three coins. p

ANSWER

km

The circumference of a trundle wheelis 1 m. How many times does thewheel turn in going 0.75 km?

Y xIn the number 28.038 how manytimes is the 8 marked x smallerthan the 8 marked y?

3 m of wire cost £3-60.Find the cost of 15 m.

0 is the centre ofthe circle.^ OABis56°.Find(a) ^ DBA (a)

B (b) z AOB. (b)

A parcel has a mass of 1.8 kg.Find the mass in g of a parcel whichis two-thirds of this mass.

The dates of birth ofthree children aregiven.

(a) By how many months is theoldest child older than theyoungest? (a) months

(b) In which year will the youngestchild be 35 years old? (b)

2.25 litres of milk are poured in equalamounts into 5 glasses.How many mf are there in each glass? mi'

A line about which a shape balancesis called an axis of symmetry.Which of these shapes A, B, C or Dhas one axis of symmetry?

A boy received a gift of a £10 note.He spent £3. What % did he save?

8cm

Find the area of theshape in cm2. cnr

15 cm

33

Section 3 Test 3

1

2

3

4

5

6

7

8

9

10

11

12

1

2

4

5

6

8

9

10

11

12

50 x 10 x 1000

1.2 km - 900 m = m

48p x 7

29 + 25 = 6 x ~

5-3 !

75% of £10

3 kg - 8 = g

(a) 0.45 = %

%

ANSWER

m

(b) SB =

(a)_

(b)

400 mf + 250 mC + 500 mt =

0.84 = thousandths _

8 FIVES + TWOS = 60p

70° + 38° + ° = 180°

thousandths

TWOS

ANSWER

Write in words the number1 000 000.

How much change from £4-00after spending £3-26?

What percentage of 2 kg is 500 g?

Find the cost of 1 m 30 cm at 80pper m.

What is the difference in mm between3.9 cm and 4.6 cm? mm

Divide the sum of 38 and 27 by 5.A

Find the reflexangle AOB.

What is the time in h and min from10.15a.m. to 12.05 p.m.?

How many times is 300 mf containedin 1.8 litres?

mm

The total mass of 5 parcels is2 kg 400 g. Find the average massof the parcels.

What fraction in its lowest terms isequal to (a) 15% (b) 4% ?

(a) (b)

How many cm2 are there in 1 squaremetre?

ANSWER

8

10

12

Katie wrote the total of £2-50, £3-50and £2-75 as £9-25.By how much was her total wrong?

Complete the set of square numbersbetween 10 and 101 by findingxandy.S = { 16, 25, 36, x, 64, y, 100 I

1 litre of water has a mass of 1 kg.Find the mass of 850 mf of water.

A road shown on a map measures50 mm which represents an actualdistance of 1 km.Find the scale to which the mapis drawn. mm to

Write the part whichis shaded(a) as a fraction (a)

(b) as a decimal (b)

(c) as a percentage, (c)

Chloe gave a FIFTY and a TWENTYto pay for an item which cost 57p.How much change did she receive? _

A rectangle measures 10 cm by 6 cm.Find the length of another rectangleof the same area if its width is 4 cm. __

18 x 56 = 1008 How many morethan 1008 is 18 x 59?

The circumference ofthe wheel is 248.4 cm.Find to the nearest mthe distance travelledin making 100 turns.

The mass of a parcel is 10 kg.5% of its mass is for packing.Find in kg and g the mass of thecontents.

10 articles cos: £6-28. Find to thenearest penny the cost of one article.

kg

1 cm

1 cm

A metal rod is 1 cmsquare in section and1 m long.

(a) How many cm cubes can becut from it? (a)

(b) Write the volume of the barin cm3. (b)

m

cm

m

cm3

34

Section 3 Test 4

ANSWER ANSWER

= cm

5 + TWENTIES

million.

cm

TWENTIES

? = '-

- - - ~ =

ml

rem.

The heights of 3 children are 140 cm,160 cm and 135 cm.Find the average height in m and cm.

rem.

4

5

m = 2 km m

ANSWER

~"' :s plus seventeen

pennies remain when«ded by 9?

rs jc tof 0.5 and 0.8.

ion in its lowest terms isof 1 houro* ' litre?

8(a) (b)

-. ca:e which is 7 months=- 'st September'96.

(a)9

---' . days are there(b)

« cos: of 1 kg 200 g at 50p

(a)£- -50

£--50 (b) £

: ~es greater than 3.04

10

11

; - <m/h is the same as5 -nin? km/h

190C 175C 210C

mA car travels 170 km on 20 litres ofpetrol. How many km per litre?A letter was posted in Australia on24th October and delivered in Englandon 4th November.For how many days was it in the post?Include the day of posting.3 articles cost 27p.Find the cost of 7 articles.Write each of these numbers sothat the value of the figure 6 is 6hundredths.(a) 306

(b) 463

(c) 2586

cm

km

(a)

(b)

(c)

7ABCD is a parallelogramand z ABC is 55°.What is the size of^ ADC

DAB

^ BCD?

A rectangular field 150 m widerequired 800 m of fencing to enclose it.How long is the field?

A 5p coin weighs 3.25 g.By how many g is the mass ofa £5 bag of FIVES greater than \?

Find(a) the reduction

for cash (a) £

(b) the cashprice.

m

CAMERA£87

10% reductionfor cash

(b) £The area of a circle is 78.5 cm2.Find the area of(a) the semicircle (a) cm'

:' :"6 angles are reflex

(b) the quadrant to the nearest cm2. (b) cm2

On a map the distance between twotowns is 6.3 cm. If the map wasdrawn to the scale 1 cm to 5 km,find the actual distance between thetowns. km

(a) How many cmcubes areneeded to fillthe box? (a)

-e r~T= :' ^- •?-<-.-

e nearest 100

:-e nearest 1000.

'er.angle is 60 m 2 .-

of the rectangle.

(a)

(b)

m

(b) If the box were4 cm high,find its volumein cm3. (b)

Turn back to page 30 and work for thesecond time Progress Test 2. Enter the resultand the date on the chart.

cm-

35

Section 3 Test 5

2

3

• 4

5

6

,0

11

12

2

3

5

6

7

8

9

10

11

12

ANSWER

100 - 28 = 9 x

250000 = million

18p + 19p + 23p = £

1.2 m - 75 cm = cm

450 g x 6 = kg

(a) 10% of 840

(b) 30% of 840

£3-70 + 8 =

cm

kg

(a)

(b)

p rem. p rem. p

3 min 50 s =

3.0 x 0.8

3.050 litres +

(a) 0.55 =

mf = 4 f

(a)

_mf

%

(b)

ANSWER

4 5 6 7 8 9

Which of these numbers are factorsof 54?

How many FIVES are there in £3-65?

What is the average of200 mf, 250 mf, 150 mf, 120 mf ?

Write each of these scores as apercentage (a) 5 out of 25

mf

(a)

(b) 16 out of 50. (b) %

How many m are there in 1.650 km? m

Increase £50 by 25%. £

How many h and min from 10.40 a.m.to 12.50 p.m.? h min

Tg of 5 m = 350 cm Find -^ of 5 m.

How many hundredths are there inthree point nought four?

200 g cost 38p.Find the cost of ? kg.

635 -;- 7. Write the answer to thenearest whole one.

cm

hundredths

Find the area ofi6cm"" the triangle.

8

10

12

ANSWER

Find the difference between the sumof 6 and 7 and the product of 6 and 7.

35 0.03

3To

2050 0.3

Which of these fractions are equivalentto 30% ?

Megan has 25p and Josh has 41 p.How much must Josh give to Meganso that they have equal amounts?

A tin when g full holds 720 mf.How many mfdoes it hold whenit is (a) g full

(b) I full?

A railway journey takes 1 h 38 min.If the train departs at 11.30 at whattime does it arrive?

A boy faces SW. In which directionis he facing if he turns(a) 90° clockwise

(b) 45° anticlockwise?

(b)

(b)

(a) What is the nameoo of this solid? (a)n

3 (b) Find its surfacearea. (b)

A customer paid 84p for 300 gof grapes.Find the price for j kg.

Which of the following numbers donot change in value if the noughtsare omitted?0.158,0350,0.590, 1.506

The perimeter of a rectangle is 54 cm.Its length is 18 cm. Find(a) its width (a)

(b) its area. (b)

Find the smallest number which mustbe added to 403 to make it exactlydivisible by 8.

(a) What fraction ofthe circumferenceof the circle isthe arc AB? (a)

(b) If the angle atthe centre were 40°,what fraction of thecircumference wouldbe its arc? (b)

36

Section 3 Test 6

Wrrte as a decimalI + tCC + WO-

• ' IE tres = ml

- : - £ 1 - 8 0

1% of twenty thousand

•:: -^ + 26 mm + 40 mm =

102 - 43

0.02 x 50

:<; = 1 3 5 g + g

- I n = min

-': - 3 = £

15 - = 0.365

ANSWER

ml'

cm cm

mm

ANSWER

any hundreds are there in•sousand seven hundred?

fefc cost £5-92.?cost of 25 pencils.

^•any degrees does thet-re rise from - 10°C to 4°C?

£ 24 36 54 72

:~ :~ese numbers are multiples 8

rage of 2\, liand 3;.

/ g is 750 g less than

gr:ns asicer fraction"-"ber. (b) 10

~ of money is 49p.~~ the money.

za,'S are there in thenth of the year?

•=:: ;~ n its lowest terms 11

(a) (b)

-re "7.850 litres to the

Find in degrees. x

ANSWER

The approximate population of a city isforty thousand more than \.What is the approximate population?

A girl collected 50p in her money box.She has 17 pennies, 9 TWOS and some FIVES.How many FIVES has she? FIVES

480 men, women andchildren went to a concert.From the diagramfind how many(a) men (a)

(b) women

(c) children

(b)

(c)were at the concert.

The perimeter of a regular octagonis 21.6 cm. Find in mm(a) the length of one side (a)

(b) the length of a side of a regularhexagon of the same perimeter, (b)

The price of a ticket was increased from50p to 60p. What is the increase(a) as a fraction

mm

mm

(a)

(b) as a percentage of the originalprice?

How many packets each containing300 g can be made from 2.5 kg?How many g are left?

(b)

rem.

1 litre or 1000 cm3 of water has a mass of 1 kg.(a) How many ml have the same

volume as 1 cm3 ? (a) ml'

(b) What is the mass of 1 cm3 ofwater? !ti\

A room is 1 g times as long as it is wide. If thewidth is 6 m find the area of the room. m2

In the triangleABC find

^ ABC °

/i BAC °

^ ACS. °

Lawn sand is made from 3 partscoarse sand and 2 parts peat.(a) What percentage of the mixture

is sand? (a) %

(b) Find the mass of peat requiredto make 2 kg of the lawn sand. (b)

Motor MuseumADMISSION

£3-40children - half price

What is the total admissionprice for mother,father and twochildren? £

12mE

LAWN

The lawn measures12 m by 7 m. The patharound it is 1.5 m wide.Find the area of thewhole garden.

37

4

5

8

10

11

12

Section 3 Test 7

1

2

3.

4

5

6

7

8

9

10

11

12

Write in figures^ of 1 million.

85 g x 100 = kg kg

1.06 - 0.79

480 mm m m

I of 30p p

905 + 100

(a) 1% of £3-00 = p (a) p

(b)9%of £3-00 = p (b) p

£0-04 x 50 £

4 h + 35 min = h nin h min

2.650 litres = m? mf

19p + 7p + 5p + 8p = £ £

1| x 8

|£«j£ ANSWER

1 Write in words the number which isequal to (3 x 103) + (6 x 102).

2 There are 60 cards in a packet. Thereare 1 2 packets and 1 7 odd cards.How many cards are there altogether?

3 A bill for £4-23 is paid with a £5 note.Name the four coinsgiven as change. p p p

4 A ABC is an isosceles triangle./\d the angle at B

c/49°l \ the angle at A.

5 1 litre of water has the same volumeas 1000 cm3. What are the volumesin cm3 of (a) 200 ml (a)

( b )1 .7 f? (b)

P

o

o

cm3

cm3

Write as a decimal the sum of9 tenths and 37 thousandths.

Find the two missing numbers inthis series.70, 7, , 0.07,

What is the average of15 cm, 3 m and 17 cm?

A plank of wood 7.5 m long is cutinto two parts so that one part is fourtimes as long as the other.Find the length of each part. m m

AB

TRAIN TIMESDepart10.4516.18

Arrive12.3518.00

Which train,A or B, is thequicker and byhow manyminutes? by mm

cm

Increase £7-50 by 10%.

By how many twelfths is 1f lessthan 2 3 ?

Write in 24-hour clock times(a) 18 min before noon

(b) jhaf ter7.57p.m.

Find the difference between 5 of 25and 3 of 45.

8 The total mass of 12 parcels ofequal mass is 5.4 kg.Find the mass of(a) 4 parcels in kg and g (a) kg

(a)

(b)

5% of a sum of money is £0-40. Findthe whole amount.

Approximate(a) 10.250 litres to the nearest litre (a)

(b) 1 parcel in g. (b)

I1

1

X / 7 A

/7AHow many axes of symmetry has(a) the rhombus Y

(b) the equilateral triangle Z?

g

The rectangleX has twoaxes ofsymmetry.

(a)

(b)

(b) £439-87 to the nearest £.

17.1 cm

(b)

Find in mm the length of a line15 mm shorter than AB. mm

What is the cost of 800 g at 90pper kg? p

The area of a rectangle is 665 cm2.The width of the rectangle is 7 cm.Find its length. cm

10

11

The circumference of a wheel is45 cm. How many times will it turnin going 450 m?

By how much is it cheaper to pay foran article priced at £25 with adiscount of 10%, than a discount of8p in the £?

< 19cm

t* M

00n

Find thearea oftheshape. cm2

3815cm

Section 3 Test 8

ANSWER ANSWER

- :e ' 'igures 1.1 million.

£.:- = • = 2 TWENTIES + 3 TENS + p p_

8.07 * 6

~- . - _ 450 m = km m km m

r l : : : - ' 9 k g = g g_

I~E - 7 = rem. rem.

103 - 102

a I = (a) %

(b)

mf

- ': " Degrees the reflex angle to,i IE ~~ 148°. (a)

ANSWER

(b)

---- . 50-g cans have a total" "

I^: ~se £ 3 - 5 0 by 4p in the £.

u'to the nearest litre (a)

- • Ef I • z '.o the nearest ? kg. (b) kg

A'-=- • . : • :-e date 6 months beforer '=-:- 2000?

T :r - "T-..ndred and seventy-two

i - I : : r£5-00 = p

r " : : : :• £5-00 = p

-• 5O kmAi what distance is travelledr ~Z —"

--: -r ::s: :; ' .75 litres at 60p

! • • ; • £ = e'::" :•* 48 cm into two;.-=•:€: :: :"=: ;-e ,s twice as

)

(a)

(b)

P

P

Ikm

cm cm

in its lowest terms is

t £1 E: : ;£20? (a) (b)

Find the area ofthe triangle.

8

10

11

There were 3500 spectators at afootball match. 7% were women.How many women were there?

2 A bottle holds 300 mf. Findthe contents of 12 bottles.

3!••!••Ill!••Ill

in litrest

In the diagramthere are 100small squares.Find as a

fraction in its lowest terms the part which is(a) shaded E3(b)unshaded CD(c)coloured.B (a) (b) (c)

3.75 x 8 = 30 Write the answers to(a) 375 x 8 (a)

(b) 3 . 7 5 x 8 0 . (b)_

A sea cruise started on 25th Augustand ended on 7th September.For how many days did thecruise last?

A plan is drawn to the scale of 1 mmto 50 cm.What fraction represents this scale?

The average mass of 3 parcels is 6 kg.Two of the parcels have a mass of4.6 kg and 6 kg.Find the mass of the third parcel. kg

26 cmh «i A sheet of plywood

26 cm by 8 cm iscut into strips 2 cmwide.

Find the total length of the strips. cm

1 cm3 of water has a mass of 1 g.Find the mass of water in kg(a) in a can which holds 13 litres (a)

(b) in a tank the volume of which is6400cm3. (b)

7 articles cost £2-47. Find to thenearest penny the cost of one.

The diameter of thiswheel is 50 cm.How far in m doesthe wheel travel for1 turn? (C = nd,IT = 3.14)

12 The price of | kg of potatoes wasincreased from 30p to 36p.Find the increase as a percentage ofthe original price.

Turn back to page 30 and work for the thirdtime Progress Test 2. Enter the result and thedate on the chart.

_kg

P

m

Section 3 Test 9

ANSWER ANSWER

5'305 = 5

1 % of sixteen thousand

4.375 kg = g

£2 - (27p + 65p) = £

2 f 450m? - 0 .5?= m?

0.4 + = 0.476

£1-76 x 5

0.75 km = m + 325 mx

100 = 13.07 Find x.

38 min + 2 h + 47 min =h min

(a) 10% of £20-40

(b)2j% of £20-40

5 of 45 cm = mm

(a) £

(b) £

1000

m?

m

min

mm

ANSWER

By how many thousandths is1.057 less than 2? thousandths

By how many degreesis the reflex angle AOBgreater than the

"B obtuse angle AOB?

A girl spends \f her money on busfares and •& on sweets.What fraction of her money is left?

Find the distance travelled in 1 h 40 minat a speed of 90 km/h.

5kg

6 kg

From the scale on thespring balance read asaccurately as possiblethe mass shown by thepointer. Write theanswer in g.

km

2

3

4

5

6

7

8

10

11

5 6 3 7 9

Which of these numbers are factors of 75?

Find the average of 3, 1.4, 2 and 2.6.

Write (a) -g as a mixed number (a)

(b) 5g as an improper fraction, (b)What is the cost of 400 g at £1 -50per 5 kg? £_By how many is 450 x 1000 lessthan 5 million?By how many degrees does thetemperature fall from 8°C to - 5°C?25% of my money is £35. Find thewhole amount. £Approximate to the nearest wholenumber (a) 79.63 (a)

(b)(b) 12.475.By how many mm is 95.4 cm lessthan 1 m?

Find the least number of pennieswhich must be added to 92p to makethe amount exactly divisible by 6.

What percentage of 2 litres is(a) 400 m? (a)

(b) 100mC? (b)

Find thevolume of thebox in cm3.

mm

cm-

10

11

12

The population of a town was aquarter of a million, reduced later by 4%.By how many was the populationreduced?

How much change is there out of £15after spending £9-50 and £3-20?

The total length of 5 laths is 16.25 m.Find in m and cm the length of3 laths. m

A bus runs at intervals of 25 min.What are the times of the next twobuses after 08.15?

CASH PRICE £60or10% WEEKLY FOR

12 WEEKS

By how muchis it cheaperto pay cash?

A path is 9 m long and 80 cm wide.Find its area in m2.

cm

nr

'07,

Ravi is given £13 as birthday gifts.He spends 9% and saves the remainder.(a) What percentage does he save? (a)

(b) How much money does hespend? (b) £

40

Section 3 Test 10

ANSWER

Wnte in figuressix hundred and two thousand fiveK.ndred and eight.

£0-27 x 40

f r 360

- •'--. of £17

(b) 7% of £17

1 -^ = thousandths

(a)

(b) £

thousandths

-ii i: = 3 FIFTIES + 2TWENTIES +TENS

~2- + 36°)

- - - - - - -50 g + 350 g =

I - ' E - ' - 50 min =

kg kg

min mm

m cm m cm

ANSWER

• ': ~5-.. 's 0.3 million less

•" -3- T-3t". in m is 6 times' - 51 :-'

-o* ""«"..* ~«s \ T.-J contained \ SO?

m

l of 17p, 53p, 24p and 7p.e answer in £s. £

---_ --e 2--~our clock time which is- :~-:-r - 35 a.m.

- - -r - ;r :~ " :ts iowest terms is(b)35%? (a) (b)

'- ---- :-=-*:>• is 920 mf less-£- V2 litres?

r-c-==£-e£3:-5C by 10%.

B C 2.25kmD

- —e : ra-:e *rom A to D is 14 km,4rc —-e : ;:a"ce *rom B to C. km

--: -^ ::;: r 0 3 m at £4-80

-e :-i" ~r:r' z~ a rectangle is 65 cm.- -r-r- 6 24cm. Find its width. cm

••I ;-:-- :;s:£2-09. Find the cost— : -4 ': "e -ea'est penny. p

ANSWER

1 How many articles costing 3p eachcan be bought for £2-40?

ABCDisaparallelogram.Find in degrees(a) ^ BAD (a)

(b) z ABC.(b)_

Share £5 between Josh and Amy so

6

8

9

12

How much does each have?Josh £ Amy

A motorist drives from Liverpool toGlasgow, a distance of 350 km, in 6 hours.Find to the nearest km hisaverage speed \ km/h. km/h

0.33 0.3 0.03 0.333

From the largest of these decimalfractions take the smallest.

1 cm3 or 1 mf of water has a mass of 1 gram.A j a r holds 3Jt' of water. Find(a) the volume of water in cm3 (a) cm"

(b) the mass of the water in kg.

How much is saved by buying 15 kgat 16p per kg instead of the samemass at 9p per j kg?

(b) kg

Dates of birthFind the age on the1st Sept. 2010 inyears and monthsof

(a) Riaz

(b) Sophie

The area of a hall is 60 m2. Its lengthis 8 m. Find (a) its width (a)

Riaz

Sophie

1.3/96

1.10/94

(a) years months

(b) years months

(b) its perimeter. (b)

(a) What fraction ofthe circumferenceof the circle isthe arc AB? (a)

(b) If the circumferencemeasures 188.4 cm,find in mm thelength of the arc.

(b)- mm

Meat costs £2-60 per \. Find themass in kg and g of meat whichcosts £7-80.

Box A measures8 cm long, 9 cm wide, 4 cm high.Box B measures10 cm long, 5j cm wide, 6 cm high.Find the difference in their volumes.

kg

41

Section 3 Test 11

ANSWER

2

3

-4

5

6

7

8

9

10

11

12

1

2

4

5

6

7

8

10

11

12

10 x 10 x 10 x 10 x 10

67p x 6 = £

(49 + 8) = 100 -

90% of £300

5 litres - 8 = ml

10 - 7^

0.246 = 2 tenths + thousandths

mf

(a) & = %

(b) 0.07 = %

1.25kg - 600 g = c

9 FIVES + 3 TWOS+ 3 TWENTIES = £

4 of 3.6 cm = mm

2 h 49 min + 53 mm =

thousandths/ -«\/(Si) /o

(b) %

mm

mmmm

ANSWER

By how many is 90 200 less thanone hundred thousand?Find the total number of days inFebruary, March and April in aleap-year.

How many degrees inthe reflex angle AOB?

ANSWER

1

2

8

Find the cost of 90 cm of cloth at£3-70 per m.How many times is 400 g containedin 2.4kg?Of these numbers which is the smallest?1.11, 1.01, 1.111, 1.1What is the difference in mf between2.8 fand3.7 f?Write as a fraction in its lowest terms(a) £4-50 of £18(b) 5 min of 1 h. (a) (b)A strip of plastic 4 m 200 mm long iscut into 7 equal pieces.Find in mm the length of each piece. _Approximate(a) £29-50 to the nearest £ (a)

mf

11

mm

(b) TP to the nearest penny. (b) p93p Find the sum of money

5 ) DC which was divided by 5. £The diameters of two circles are9.4 cm and 15.8 cm. What is theradius of each circle in mm? mm mm

Find the numbers less than 50 ofwhich both 2 and 7 are factors.

What is the date of the third Wednesdayin July if the 1 st of July is onSunday?

June

40 mm

July

23 mm

Aug

42 mm

Sept

35 mm

The monthly rainfallis given in mm.Find the averagerainfall for

the 4 months. mm

60 kg of mortar is mixed from4 parts of sand and 1 part of cement.Find the mass used of(a) sand (a) kg

(b) cement. (b)

Write this number in words.(7 x 103) + (1 x 102) + (9 x 10)

kg

6 How many degrees are there in a turnfrom W to SE (a) clockwise (a)

(b) anticlockwise? (b)

Diameter of circle Ais 9.4 cm.Diameter of circle Bis 5.8 cm.How far apart are the twocentres in mm? mm

(a) Find the area of a square of5 cm side. (a)

(b) How many times greater is thearea of a square with sides doublethat length? (b)

How much money issaved by buying24 stickers sixat a time?

9 cm 8 cm

Which triangleA or B hasthe greater areaand by howmany cm2?

by

A boy won a prize of £25 which hedeposited in a bank at an interestrate of 6%. How much interest didhe receive at the end of 1 year?

(a) How manycentimetre cubescan be fitted into thebottom of the box?

(a)

(b) If the volume ofthe box is 240 cm3,find its height.

(b) cm

42

Section 3 Test 12

1

2

3

4

9

10

11

12

2

3

7

8

9

10

11

12

ANSWER

55 + 17 = x 9

£0-95 = 1 FIFTY + 1 TWENTY +FIVES

2.3 m - 90cm = cm

1 000 000 = thousands

hundreds

380 g x 9 = kg

7 x y = 7532 Findy.

(a) 1 % of £27

(b) 8% of £271 3 35 + 8 + 4

2.050f + mf = 2\(

360° - (75° + 80° + 130°)

1 of £90

4.07 x 8

FIVES

cm

thousands

hundreds

kg

(a)

(b) £

ANSWER

24 36 54 60 72

Which of the numbers are multiplesof 4, 6 and 9~>How many km are there in seventeenhundred metres? km

Decrease £44 by 10%.

How many h and min from 09.48to 11.19? mm

What fraction in its lowest terms is(a) the part

shaded (a)

(b) the partshaded (b)

(c) the partunshaded?

Find the cost of 2.25 fat 28p per f.

How many biscuits each costing 7pare bought for £2-737Write each score as a percentage,(a) 18 out of 20

(c)

(a)

(b) 35 out of 35. (b)5 articles cost 80p. What fraction of80p will 3 articles cost?By how many is 300 050 greaterthan 4 million?

Find 5 of £1 -68 to the nearest penny.

Find in cm3 the volume of a box15 cm by 10 cm by 7 cm.

2

3

11

12

ANSWER

Find the missing numbers in this series.0.125,0.25,0.375, ,

What number when added to 48 threetimes gives a total of 120?

A date and raisin cake has a mass of 1.5 kg.If 40% of the mass is fruit, find themass of the fruit in g.

A line 8 cm long is drawn to thescale 1 mm to 0.1 m.What length does the line represent? m

1 3 2 13 TO 5 6

Which of these fractions is less than

3a

i?

Lawn sand is spread at the rate of125 g per 1 m2. How many kg arerequired to treat a lawn 50 m2? kg

A motorist starts a journey of 36 km at09.45 and arrives at 10.30. At this speed(a) how far does he travel in 4 h? (a) km

(b) Find his average speed in km/h. (b) km/h

The length of a rectangle is three timesits breadth. If the perimeter is 192 cmfind (a) the length (a) cm

(b) the breadth of therectangle. (b) cm

0 is the centre of the circle theradius of which is 7.4 cm. Find(a) the angle at the

centre AOB (a) °

(b) the length of thestraight line AB. (b) cm

(c)(c) Name the triangle AOB

according to its sides.

Of 150 children in a school 60 can swim 1 widthof the pool, 45 can swim 1 length of the pool.What percentage of the children canswim (a) the width (a) %

(b) the length?

7 children shared a money prizeequally. Each child received 42pand there was 6p left.Find the total value of the prize.

(b)

The drawing shows ablock of metal.

(a) Find its 'volume.

(b) If the mass of the metal is 7 times that ofwater, what is the mass of the block in kg?

kg

cnv

Turn back to page 30 and work for the fourthtime Progress Test 2. Enter the result and thedate on the chart.

43

CHECK-UP TEST Number

A (a)

5 + 6

8 + 80 + 7

7 + 8

4 +- 7

1 8 + 91 5 + 8

3 + 29

7 + 36

14 + 19

1 2 - 5

9 - 0

11 - 31 4 - 5

1 5 - 9

2 4 - 6

2 6 - 9

3 2 - 8

5 8 - 9

47 - 20

(b)

10 x 104 x 7

9 x 3

8 x 6

1 x 8

5 x 97 x 7

0 x 0

4 x 8

9 x 7

2 4 - 3

4 0 - 8

0 * 65 4 - 9

7 - 7

4 2 - 7

8 1 - 93 6 - 4

6 3 - 9

5 6 - 8

D Write these numbers.

Fifty thousand and sevenSixty-two thousand four hundred and twoOne hundred and forty thousand and elevenTwo hundred and six thousand30 000 + 400 + 6

100000 + 7000 + 50 + 8(4 x 1000) + (6 x 100) + (3

(9 x 1000) + (7 x 10) + 5

(3 x 1000) + (4 x 10)1 million1j million4 million

2.7 million

G5.03 + 0.7

2.5 + 1.540.06 + 1.04

3.7 + 0.350.28 + 1.625

2 -1.41.4 - 0.910 - 8.754.8 - 3.760.7 - 0.58

and nine

x 10) + 8

H6.45 x 100.873 x 102.03 x 100

0.092 x 1001.64 x 10000.053 x 10001.8 x 54 x 1.63

0.09 x 87 x 2.081.063 x 6

B

(6 x 6) + 5(9 x 1) + 7

(5 x 8) + 4

(8 x 0) + 6

(10 x 5) + 8

(8 x 8) + 6

(3 x 3) + 2

(9 x 8) + 7

(4 x 9) + 5

(7 x 6) + 3

2 9 - 3 rem.6 7 - 8 rem.

2 1 - 4 rem.6 - 7 rem.

3 9 - 5 rem.

7 0 - 9 rem.

5 1 - 6 rem.

1 3 - 7 rem.5 2 - 5 rem.

4 - 9 rem.

•27 x 8

49 x 6107 x 7

93 x 10

180 x 10

95 x 20

86 x 40

100 x 80

98 x 100

204 x 100

1 0 2 - 3336 - 4

648 - 6

590 - 10

800 - 10

540 - 20

420 - 60

1050 - 50

4000 - 1002900 - 100

£ Write as decimals. p How many tenths equal

47 tenths 6.8201 tenths 14.9

4 hundredths 30.4?309 hundredths

t580 hundredths603 thousandths

75 thousandths3009 thousandths

•low many hundredths equal0.93

7.05

3.2?

g + ^ + -^ How many thousandths equal

10 + TOO + TOOO5 tenths +2 hundredths

(7 hundredths and

) thousandths

0.003

0.0781.52

2.8

4.09?

1

79 - 10

40.2 - 10

34 - 100

10.7 - 100

608 - 10001035 - 10005.6 - 810.25 - 50.636 - 64.77 - 9

8.032 - 8

J

Find the value of x.x + 7 = 24

5 + x = 32

x + 1.5 = 531 - x = 16x - 6.3 = 1010 x x = 25x x 4 = 18

7 = 5TS = 0.69 + x = 7 x 7

44

CHECK-UP TEST Money and Measures

A 70p = £2p £

£0-63£0-19£0-04£1-37 TENS

£3-09 = TWENTIES

£10-80 TENS

? TENS + 6 TWOS3 FIFTIES + 9 TENS £3 TENS + 5 FIVES + 9p£0-85= 5 TENS + FIVES£1 -20 = 12 FIVES + TWENTIES£2-30 = 3 FIFTIES + TWENTIES

Q Find the change from

20p after spending (a) 3p20p after spending (a) 12p50p after spending (a) 37p

(c) 26p£' after spending (a)81p

(c) 45p£5 note after spending (a) 73p £

(c)£2-54 £

B 9p + 3p + 17p15p + 8p + 6p

_p_ 14p + 7p + 12p_p_ 5p + 1 1p + 15p -_p_ 6p + 19p + 21p -_p_ 37p + 85p_p_ £1-03 + 49p_£ £2-57 + £0-60

_p_ 43p - 19p95p - 18p

JD £1-10 - 84p£1-70 - 93p£2-30 - £0-80£2-06 - £1-40

E_p_ (b) 8p p__p_ (b)14p _JD

p (b)19p p__£ (d) 5p p___p_ (b) 66p p

_B (d) 7p _2(b) £4-09 p(d)£1-98 £

p 84 cm = m

309 cm = m

1075mm = m

2305 mm = m

750 mm = m

100m km

925 m km

1605m = km

860 q kg

1400 q = kg

700 mf = (

3310 mC = (

| How many J

min in 4 h

min in 1 4 h

s in 5 min

weeks in 1 year

days in 1 year

days in April

days in July

days in October?

G 20.4 cm = mrr

1.5m = mrr

2.65 m = mrr

0.85 m = cm

8.37 km = m

0.6 km = m

10.075 km = m

1.325 kg = q

0.05 kg = g

3. 72 kg = g

1 .3 f = m

4 . 2 5 C = m

Change to 24-hour clock times7.35a.m.12.05p.m.3.27p.m.10.55p.m.Change to 1 2-hour clock times.Use a.m. or p.m.

09.2014.5600.3521.16

p_ £ Find the cost of

10 @ 15peach £100 @ 3peach £

9 @ 13peach £— E 8 @ 27peach £

T fn\ n a^ij-h Cj ® ^ap eacn ti y is 4p eacnLI & /p eacn. L E

Find the cost of 1 whenp_ 10 cost £2-70 p_2 100 cost £15 p_p_ 6 cost 84p pp_ 4 cost £0-72 g

£ 7 cost £2-24 pp 9 cost £3-06.

E

Make up the given amounts using the leastnumber of coins. The first one is done for you.

AMOUNT 50p 20p 10p 5p 2

23p 1 1

39p

67p

78p

86p

94p

P 1p1

i H Find the cost of

i 500 g @ 76p per kgi 100g @ 50pper kg

250 g @ 36p per kg200 g @ £1-20 per kg1.5 kg @ 64p per kg100g @ 45pper 5 kg300 g @ £1-10 per j kg _25 cm @ 92p per m1 n rm f?7) f^-^flnarm

60 cm @ £2-20 per m £? 1 3 ( @ 60p per (( 800 mf @ 50p per (.

BP

BBE

EEBB

EE

K Find the period of time between8.35 a.m. and 10.16 a.m. h min

5.25 a.m. and noon h4.30 p.m. and 7.20 p.m. h11. 35and 14.15 h03. 40 and 06. 10. h

How many days inclusivefrom 28th Jan. to 9th Feb.from 1 7th May to 5th Junefrom 26th Nov. to 3rd Jan.?

minminminmin

45

CHECK-UP TEST Fractions and Percentages

Fill in the missing numerator or denominator.3 2 8 74 = 16 3 =Reduce each fraction to its lowest terms.9

T2 =1218 =

= 24

2025 =

56 18

45 =

40 3010 =

2430 =

70100 =

45100 =

Change each improper fraction to a mixed number._ 43

T =29T =

77TO =

403 =

Change each mixed number to an improper fraction.

7| = 8 § = 5 ^ = 9^= 4i= 10| =

g Write as a fraction in itslowest terms.

50 of 75

BOpof £1-00

25 cm of 1 m

12 kg of 30kg

70 of 100

800 g of 1 kg

400mfof 2(

45 of 100

C Find

5 of 70

5 of 64

TOOf£1-20 p

I of 42 1 f

7 of 350 g gT5SOf£1-00 p

I of 1200

T^of 1 kg. g

D Find the whole when

5 is 35

§ is27p

s is 36 cmPcm

TO is £1-40 £

§ is 800 g 9| is 5000

| i s24 f (

jo is £1-80 £

Write as percentages.

(a) 33 out of 100 % (b) 87 out of 100

(a) 0.65

(a) TOO

% (b) 0.38

%

_% (c) 9 out of 100

_% (c)0.75

% (c) TOO

Change each fraction first to hundredths, then write it as a percentage.19 3

(a) 50

(a)

100

4 = 100

Is =

5 =

100

100

Fill in the blank spaces in each of the columns marked a- m. The first is done for you.(a) (b) (c) (d) (e) (f) (g) (h)

% (d) 45 out of 100

% (d) 0.3

(d) TOO

(c)|3207

100

100

(I) (m)

VULGAR FRACTION(LOWEST TERMS)

DECIMAL FRACTION

PERCENTAGE

12

0.5

50%

0.25

% 75%

15

%

0.4

% 60%

0.8

%

110

%

0.3

% 70%

0.9

%

120

%

0.01

%

Find the value ofF 25% of 120

'*fless»V -----50% of 3575% of 4001 0% of 1 00030% of 9070% of 20090% of 1 6020% of 95p p_40% of £20 £60% of £15. £

Find the value ofafire 50% of 1 4p

20% of £6 -50 £1 00% of 93 p10% of 2.5kg5% of 4 f30% of 2 m1% of £1-007% of £1-003% of £3-00

P

PgmCcm

PPP

12% of £9-00. £

Find as a percentageH 6 of 24 %

7 5 of 1 5 %40p of 50p %93p of 93p %200 g of 5 kg %700 mfof 1 f %25po f£2 -50 %£1-50 of £2-00 %7p of £1-00 %30 cm of 1 .5 m. %

46

CHECK-UP TEST Approximations, Angles and Shapes

^ Approximate to the nearestwhole number 49.55whole number 20shundred 6057hundred 19503thousand 59 770thousand 109495£1-00 £27-50 £

Find to the nearest penny (a) TO of 97p p

C How many degrees in each of the angles x and y?^^^P

v-^/ x-x^ (^V\O x*f>I ^\

X

angle x angle x angle xangle y angle y

B Approximate tometremetrekilogram

kilogram1kg

1kg

litre

(b) 3 of £2-50

the nearest8 m 59 cm

19 m 700 mm

1 6 kg 50 g7.550kg

9 kg 800 g

6.550 kg39. 870 I

. £3-35_P (c) 4

m

mkg

kg

kgkgt_

p

Find the missing angle in each of the triangles.D Then name each triangle according to

(a) the angles (b) the sides.

ANGLES INTRIANGLE

32° 90°46° 52°60° 60°

125° 38°57° 57°

(a) NAME OF (b) N/TRIANGLE TRI/(ANGLES) (SI

L fi^\ X-,P A / /W \

(a) the rhombus

Find the angle x in (c) the parallelogram

P Give the unit of measurement in the answerfor each example.

•

perimeter of square

n area of square

^^^» KS!Tf

~ rectangle

/ \a of triangle

/\\mG circumference of

circle[ C = n d o r 2 n r ]I,- 3.14 i

How many cm cubes(a) fit into the

^^~~~*T***^^ bottom of the box

F\Tl J-^ ff £ (b) fill the box?

/90C

(b) the trapezium

XMEOFkNGLEDES)

"VVl300^

o

, \) the irregular quadrilateral

Write the missing measurement in each of thesquares or rectangles.

Area 50 m2

LengthBreadth 10m

25cm2

13.5cm

9cm 2.5cm

16m2

50cm

Write the missing measurement in each of the triangles.

Base 16cmHeight 8 cm

Area

Write the missing radius

radius 15.3cmdiameter

45 m 10 cm

12m90cm2

or diameter.

36 mm 9.8 cm

7 cm

42cm2

m

27.6cm

Find the circumference of a circle whend = 7 cm r = 4.5 cm

Find the volume of each of these boxes,length 13 cm, breadth 8 cm, height 2 cmlength 7 cm, breadth 4 cm, height 2.5 cmcube of 6 cm side

47