Total He says, KS2 SATS...! stands for a number on a grey card. " stands for a number on a white...

PROBLEM SOLVING 1CONTENT DOMAIN REFERENCES:A1, A4, A5

KS2 SATSPRACTICE QUESTIONS BY TOPIC

1 2 3 4 5 6 7 8 9 10

Page 7 of 24

Each shape stands for a number.

Total96

Total 100

Work out the value of each shape.

=

=

4

1 mark

1 mark

E00080A0724

[2 marks]

11

[2016]

Page 22 of 24 5

Chen is thinking of three numbers.

He says,

‘The range is 5 The mode is 2’

What are his three numbers?

21

1 mark

21

M01155 freerange HD HD2d1 HD2d2 HD1d L5 UAM

M01155_2 – 3 October 2013 1:54 PM – Version 1

M01551_entirety Num N4d2 N1j L5 UAM

n stands for a whole number.

2n is greater than 30 5n is less than 100

Write all the numbers that n stands for.

22i

22ii

2 marks

22

M01551 – 3 October 2013 2:33 PM – Version 2

[1 mark]

22

[2014]

Questions compiled by:@Maths4Everyone

Contains public sector information licensed under the Open Government Licence v3.0www.nationalarchives.gov.uk/doc/open-government-licence

8

One battery weighs the same as 60 paperclips.

One pencil sharpener weighs the same as 20 paperclips.

How many pencil sharpeners weigh the same as one battery?

6a

1 mark

How many paperclips weigh the same as 2 batteries and 4 pencil sharpeners together?

Showyour working.You may get

a mark. 6bi

6bii

2 marks

6

289982_KS2Ma_2009_081212_v0.0_Ho8 8289982_KS2Ma_2009_081212_v0.0_Ho8 8 09/12/2008 16:28:0209/12/2008 16:28:02

[3 marks]

33

[2009]

21

Calculate 848 ÷ 16


a mark.

22i

22ii

2 marks

22

k stands for a whole number.

k + 7 is greater than 100

k – 7 is less than 90

Find all the numbers that k could be.

23i

23ii

2 marks

23

21 Total out of 6

[1 mark]

44

[2006]

6 pencils cost £1.68

5

10

15

Page

11 o

f 24

6

penc

ils c

ost £

1.68

3

penc

ils a

nd 1

rubb

er c

ost £

1.09

Wha

t is

the

cost

of 1

rub

ber?

Sho

w

your

m

etho

d

9

2 m

arks

M00

3185

M00

3185

_Pen

cils

and

Rub

ber

– 3

Nov

embe

r 201

5 9:

33 A

M –

Ver

sion

4

KS

2 ite

m te

mpl

ate

vers

ion

1.1

3M9a

E000

70A0

1124

[2 m

arks

]

5

5

[201

6]

Page

11 o

f 24

6

penc

ils c

ost £

1.68

3

penc

ils a

nd 1

rubb

er c

ost £

1.09

Wha

t is

the

cost

of 1

rub

ber?

Sho

w

your

m

etho

d

9

2 m

arks

M00

3185

M00

3185

_Pen

cils

and

Rub

ber

– 3

Nov

embe

r 201

5 9:

33 A

M –

Ver

sion

4

KS

2 ite

m te

mpl

ate

vers

ion

1.1

3M9a

E000

70A0

1124

[2 m

arks

]

5

5

[201

6]

3 pencils and 1 rubber cost £1.09

What is the cost of 1 rubber?

[2 marks]

55

[2016]

Height in metres Height in metres Height metres Height in metres

07

Here is an equation.

m – 2n = 10

When n = 20 what is the value of m?

m =

When m = 20 what is the value of n?

n =

4

1 mark

1 mark

M01412_pique L5 A

M01412_pique – 25 February 2013 8:17 AM – Version 2

A

[2 marks]

6

6

[Extra]

22

Find the multiple of 45 that is closest to 8000

Showyour method.You may get

a mark. 22i

22ii

2 marks

22

m stands for a whole number greater than 10 and less than 20

n stands for a whole number greater than 2 and less than 10

What is the smallest number that m × n could be?

23a

1 mark

What is the largest number that m – n could be?

23b

1 mark

23

TestB.indd 22TestB.indd 22 15/11/2007 15:57:4515/11/2007 15:57:45

[2 marks]

7

7

[2008]

07


m – 2n = 10

When n = 20 what is the value of m?

m =

When m = 20 what is the value of n?

n =

4

1 mark

1 mark

M01412_pique L5 A

M01412_pique – 25 February 2013 8:17 AM – Version 2

A

[2 marks]

6

6

[Extra]

22



a mark. 22i

22ii

2 marks

22




23a

1 mark


23b

1 mark

23


[2 marks]

7

7

[2008]

[2 marks]

66

[Extra]

22



a mark. 22i

22ii

2 marks

22




23a

1 mark


23b

1 mark

23


[2 marks]

77

[2008]

11

1 mark

12

1 mark

9

Leon and Sara each started with different numbers.

Leon and Sara both get the same answer.

What numbers could they have started with?

Leon Sara

I subtracted 8 from my number.

Leon Sara

12

I added 5 to my number.

Circle two numbers which add to make 0.12

0.1 0.5 0.05 0.7 0.07 0.2

11

[1 mark]

88

[2000]

of 24

12 n = 22

What is 2n + 9?

2q + 4 = 100

Work out the value of q.

q =

1 mark

1 markM003963

M003963_grouper – 3 November 2015 10:09 AM – Version 5

KS2 item template version 1.1

6A2

E00070A01424

[2 marks]

99

[2016]

12

13

Sapna and Robbie have some biscuits.

Altogether they have 14 biscuits.

Sapna has 2 more biscuits than Robbie.

Sapna Robbie

How many biscuits do Sapna and Robbie each have?

14 This pattern is made by turning a shape clockwisethrough 90° each time.

Draw the two missing triangles on the last shape.

13

1 mark

14

1 mark

[2 marks]

1010

[2005]

Total

Here is an equilateral triangle inside a rectangle.

Calculate the value of angle x.

Do not use a protractor (angle measurer).

26

p and q each stand for whole numbers.

p + q = 1000

p is 150 greater than q.

Calculate the numbers p and q.

27

O

Not to scale

x

p = q = 27

2 marks

26

2 marks

17


a mark.


a mark.

[1 mark]

1111

[2001]

13 Total out of 5

Here are five number cards.

12

112

2

212

312

Use three of the number cards to make this calculation correct.

+ × = 10 14

1 mark

14

An iced cake costs 10p more than a plain cake.

Sarah bought two of each cake.

They cost £1 altogether.

What is the cost of an iced cake?

p

15i

15ii

2 marks

15

[2 marks]

1212

[2010]

17 Total out of 4

Emily, Ben and Nisha take part in a sponsored swim to collect money for charity.

Emily collects £2.75 more than Nisha.

Ben collects £15

Nisha collects £7 less than Ben.

Altogether how much money do the three children collect?


a mark.

£

16i

16ii

2 marks

16


[2 marks]

1313

[2008]

g stands for a number on a grey card.

w stands for a number on a white card.

Join all pairs of numbers that match this rule:

5

10

15

Page 4 of 16

1

M01928_Pairing off A A1/A2/N4d L5




2g + w = 10

One is done for you.

1

1

8

8

7

7

6

6

5

5

4

4

3

3

2

2

2 marks

M01928_Pairing off – 30 September 2013 10:14 AM – Version 2

D00140A0416

A

[2 marks]

14

14

[Extra]

Page 4 of 16

1

M01928_Pairing off A A1/A2/N4d L5




2g + w = 10

One is done for you.

1

1

8

8

7

7

6

6

5

5

4

4

3

3

2

2

2 marks

M01928_Pairing off – 30 September 2013 10:14 AM – Version 2

D00140A0416

A

[2 marks]

14

14

[Extra]

One has been done for you.

[2 marks]

1414

[Extra]


Page 9 of 20


k = 100 − 4n

(a) Find the value of k when n = 60

k =

(b) Find the value of n when k = 99

n =

6

M02000_cayenne A A4 N4d L5/L6

1 mark

1 mark

M02000 – 27 October 2014 10:43 AM – Version 2

D00130A0920

F

[2 marks]

16

16

[Extra]

Page 9 of 20


k = 100 − 4n


k =


n =

6


1 mark

1 mark


D00130A0920

F

[2 marks]

16

16

[Extra]

Page 9 of 20


k = 100 − 4n


k =


n =

6


1 mark

1 mark


D00130A0920

F

[2 marks]

16

16

[Extra]

[2 marks]

1515

[Extra]

Amir has three parcels.

Parcels A and B together weigh the same as parcel C.

The three parcels weigh 800 grams altogether.

Parcel A weighs 250g.

How much does parcel B weigh?

17 Total out of 4

Amir has three parcels.

Parcels A and B together weigh the same as parcel C.

ACB

The three parcels weigh 800 grams altogether.

Parcel A weighs 250g.

How much does parcel B weigh?


a mark.

g

17i

17ii

2 marks

17

289982_KS2Ma_2009_081212_v0.0_Ho17 17289982_KS2Ma_2009_081212_v0.0_Ho17 17 09/12/2008 16:28:0709/12/2008 16:28:07

[]

16

16

[2009]

[2 marks]

1616

[2009]

Lin has five blocks which are all the same.

She balances them on the scale with two weights.

15 Total out of 4



800grams500

grams

Calculate the weight of one block.


a mark.

g

17i

17ii

2 marks

17

[]

17

17

[2006]

15 Total out of 4



800grams500

grams



a mark.

g

17i

17ii

2 marks

17

[]

17

17

[2006]

[]

17

17

[2006]Lin has five blocks which are all the same.


15 Total out of 4



800grams500

grams



a mark.

g

17i

17ii

2 marks

17

[]

17

17

[2006]

15 Total out of 4



800grams500

grams



a mark.

g

17i

17ii

2 marks

17

[]

17

17

[2006]

[]

17

17

[2006]Lin has five blocks which are all the same.


[2 marks]

1717

[2006]

KS3/04/Ma/Tier 5–7/P225

Algebraic expressions

21. Look at these expressions.

first second expression expression

What value of makes the two expressions equal?

Show your working.

=

END OF TEST

3 + 55 – 8

2 marks

A

[2 marks]

1818

[Extra]

Y9/Ma/Tier 4–6/P2 10

School uniform

8. A shop sells school uniform.

Two shirts and one jumper cost £29

One shirt and one jumper cost £21

How much does one jumper cost?

£2 marks

112009_p2.46.indd 10 07/12/2009 12:40:52

A

cm

[2 marks]

1919

[Extra]

Alfie has two sticks.

He puts them end to end.

5

10

15

One stick is 10cm longer than the other stick.

How long is the longest stick?

Page 19 of 24 21



80cm


How long are the two sticks?

Show your

working

cm

19i

19ii

2 marks

andcm

19

M01053 sticks Num N4b N1b L5 UAM

Not actual size


Total out of 5

[]

24

24

[2014]

17 Total out of 6

Write in the missing numbers.

} 21.7 = 37.5

100 – (22.75 + 19.08) =

19


A and B stand for two different whole numbers.

The sum of all the numbers on all five cards is 30

What could be the values of A and B?

A = B =

BBAAA

20

!19a

1 mark

!19b

1 mark

!20

1 mark

[]

25

25

[2004]

Page 19 of 24 21



80cm


How long are the two sticks?

Show your

working

cm

19i

19ii

2 marks

andcm

19

M01053 sticks Num N4b N1b L5 UAM

Not actual size


Total out of 5

[]

24

24

[2014]

17 Total out of 6

Write in the missing numbers.

} 21.7 = 37.5

100 – (22.75 + 19.08) =

19


A and B stand for two different whole numbers.

The sum of all the numbers on all five cards is 30

What could be the values of A and B?

A = B =

BBAAA

20

!19a

1 mark

!19b

1 mark

!20

1 mark

[]

25

25

[2004]

cm

[1 mark]

2020

[2014]


5

10

15

19 Total out of 4

Sarah, Amy and Liam stand on some weighing scales two at a time.

Here are the measurements:

Sarah and Amy

Sarah and Liam

Liam and Amy

70kg

80kg

80kg

How much does Liam weigh?

kg

18i

18ii

2 marks

18

[]

21

21

[2010]

19 Total out of 4



Sarah and Amy

Sarah and Liam

Liam and Amy

70kg

80kg

80kg


kg

18i

18ii

2 marks

18

[]

21

21

[2010]

19 Total out of 4



Sarah and Amy

Sarah and Liam

Liam and Amy

70kg

80kg

80kg


kg

18i

18ii

2 marks

18

[]

21

21

[2010]

19 Total out of 4



Sarah and Amy

Sarah and Liam

Liam and Amy

70kg

80kg

80kg


kg

18i

18ii

2 marks

18

[]

21

21

[2010]

[2 marks]

2121

[2010]

Hassan bought a notebook and a pen.He paid £1.10

Kate bought a notebook and 2 pens.She paid £1.45

Calculate the cost of a notebook.

5

10

15

[2 marks]

2222

[2007]

Page 22 of 24 21

A shop sells fruit.

Chen buys 2 apples and 3 bananas.

He pays £2.35

Megan buys 2 apples and 1 banana.

She pays £1.25

How much does one banana cost?

Show your

working24i

24ii

2 marks

24

M01081 simultaneous Num N4b N1b L5 UAM

M003729 – 6 November 2014 9:37 AM – Version 1

D00060A02224

[]

23

23

[2015]

Page 22 of 24 21

A shop sells fruit.

Chen buys 2 apples and 3 bananas.

He pays £2.35

Megan buys 2 apples and 1 banana.

She pays £1.25


Show your

working24i

24ii

2 marks

24

M01081 simultaneous Num N4b N1b L5 UAM

M003729 – 6 November 2014 9:37 AM – Version 1

D00060A02224

[]

23

23

[2015]

A shop sells fruit.

Chen buys 2 apples and 3 bananas.He pays £2.35

5

10

15

Megan buys 2 apples and 1 banana.She pays £1.25


[2 marks]

2323

[2015]

Total He says, KS2 SATS...! stands for a number on a grey card. " stands for a number on a white...

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Transcript of Total He says, KS2 SATS...! stands for a number on a grey card. " stands for a number on a white...