Numeracy for National 4

Time, Distance for fraction of hour and VATHire Purchase Bus question and Crate Q … packet

weight

Measuring Jug and Integer Change in temperature

Perimeter of roomPerimeter of room Pie Chart / Exchange Rate

Choir Compare using % ; Split in a ratio question

Which team has best result / Exchange Rate

Contract for Mobile phone / Distance Q

Compound Bar Chart

Select best interest from table

0 1 2 3 4

5 6 7 8 9

.

÷x

0+

On²

-

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=

√(-) 3.14

8

S

^

10:35 15:55

20:35 8 hour 15 min

14:10 3 hour 40 min

1. Copy and complete the following table which shows departure times and arrival times for different trains

Departure Arrival Time Taken

5 hour 20 min

04:50

10:30

Next

hour

min

:

2. A car travels at a constant speed of 48 mph for 15 minutes.

How far does the car travel in this time ?

12 mile

mile

3. Mr Smith bought a new washing machine.The price is £305 + VAT.

VAT is charged at 20%

What was the total price of the washing machine

£366

£

Ans

Calculate

0 1 2 3 4

5 6 7 8 9

.

÷x

0+

On²

-

Ans

=

√(-) 3.14

8

S

^

Two shops are selling the same model of laptop. Offer different deals

Shop A Shop B

Deposit £105

Six payments of £55.10

Deposit £140

Six payments of £47.40

Next

Which shop has the cheaper deal

Justify your answer by calculation

A B £ When entering the answer remember the £

Ans

Calculate

0 1 2 3 4

5 6 7 8 9

.

÷x

0+

On²

-

Ans

=

√(-) 3.14

8

S

^

Next

A school group of 144 pupils are planning to travel to an event using hired buses. A bus company offers two sizes of busesSize A : 54 seats, Price £250

Size B : 37 seats, Price £190

The group want to pay the lowest charge available.

How many buses of each size should they hire?

2 1

A B

An empty crate weighs 600g.

When 50 packets are put into the crate then it has a total weight of 16600g.

What is the weight of one packet of cereal ?

320g

g

Ans

Calculate

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÷x

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√(-) 3.14

8

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Next

1 Litre

2 Litre

3 LitreSome coloured water has been added to this measuring jar.How much more water is needed to fill the jar to 3 Litres

ml

1800 ml

A liquid is cooled from 9°C to -6°C .

By how many degrees has the temperature dropped?

15°C°C

Ans

Calculate

0 1 2 3 4

5 6 7 8 9

.

÷x

0+

On²

-

Ans

=

√(-) 3.14

8

S

^

Next m

The diagram shows a room, which is made up of two rectangles.

14m

4m

3m

8m

The owner bought a 45m roll of decorative border.

Is this roll big enough to go all around the walls of the room.

Give a reasonYes No

Ans

Calculate

0 1 2 3 4

5 6 7 8 9

.

÷x

0+

On²

-

Ans

=

√(-) 3.14

8

S

^

Next

FranceUKO

ther

Italy

Germany

120°

A survey of a theme park showed that there were a total of 693 visitors from a variety of countries.

How many visitors

were from Germany

The diagram shows the proportion of visitors that came from each country.

John is going to the USA, how many dollars will he get for £630

when the exchange rate is $1.60 to the pound

$Ans

Calculate

0 1 2 3 4

5 6 7 8 9

.

÷x

0+

On²

-

Ans

=

√(-) 3.14

8

S

^

Next

$

Two choirs are to send a representative to a show.

The representatives are chosen at random.

Choir A has 26 members and 7 tickets to issueChoir B has 30 members and 8 tickets to issueIn which choir do you have a better chance of being chosen?(Justify your answer by calculation )

A B

In a lottery win of £42000, the money has to be divided by Julie and Javeed in the ratio of 8:7 respectively

Julie received £22400

Is this the correct amount ?

Justify your answer by calculation Yes No

Ans

Calculate

0 1 2 3 4

5 6 7 8 9

.

÷x

0+

On²

-

Ans

=

√(-) 3.14

8

S

^

Next $

Three rugby teams play in the same area

Team A have won 8 out of their 12 games

Team B have won 9 out of their 14 games

Which team has the best winning record ?

(Justify your answer by calculation )

A B

Yes No

Ans

Team C have won 10 out of their 16 games

C

John is going to the USA, how many dollars will he get for £820 when the exchange rate is $1.40 to the pound

Calculate

0 1 2 3 4

5 6 7 8 9

.

÷x

0+

On²

-

Ans

=

√(-) 3.14

8

S

^

Next

140

Joanne is looking for a mobile phone contract which will give her 135 minutes of calls, 700 texts and 120Mb of Internet use

A B

Yes No

Ans

Company A

Company B

Company C

Calls

Texts

Internet (Mb)

150 120

850

150

750

100

Three mobile phone companies each have a contract available at the same price

130

800

A

C

How far does the car travel in this time ?

A car travels at a constant speed of 36 mph for 15 minutes.

9 mile

mile

Calculate

0 1 2 3 4

5 6 7 8 9

.

÷x

0+

On²

-

Ans

=

√(-) 3.14

8

S

^

Next

A B Ans C

A local school conducted a survey on a Wednesday afternoon to establish the number of pupils who were wearing trainers.The compound bar chart below gives the results of the data collected.

25

20

15

10

5

0

30

How many S1 girls wore trainers that day

S1

S2 S3 S4

Compare the use of trainers by both boys and girls across the year groups

Boys

Girls

Calculate

0 1 2 3 4

5 6 7 8 9

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Next

A B Ans C

1.1% 1.2% 1.3%

1.1% 1.2% 1.3%

1.3% 1.4% 1.7%

1.2% 1.5% 1.6%

Between £1000 and

£5000

Less than £1000

More than £5000

A

B

C

D

Bank

The table below shows the amount of yearly interest a selection of banks will pay to customers on savings.

For a saving amount of £5150, which bank would pay the most interest?

C

D

0

1 2 3

4 5 6

7 8 9

3.14

C

.

÷

x

0

+

On

²

-

Ans

=

√

(-)

Test

V1

V2

V3

V4

V5

V7

V8

V9

V10

V11

V12

V13

V14

V15

V16

V17

V18V6

0 1 2 3 4

5 6 7 8 9

C

.

÷x

0+

On

²

-

Ans

=

√(-) 3.14

25.748

S

N1 N2 N3 N4 N5 N6 N7 N8 N9

N10 N11 N12 N13

N14

N15 N16 N17 N18

35

r = 10 ; s = 26

r = 13 ; s = 85

r = 11 ; s = 61

r = 16 ; s = 65

r = 5 ; s = 13

=

=

=

=

=

r = 6 ; s = 10

r = 15 ; s = 113

=

=

(a)

(b)

(c)

(d)

(e)

(f)

(g)

V=

V=

V=

V=

V=

V=

V=

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