Year 5 Year 5 and 6 Mark Scheme Reasoning and Problem Solving

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Q1

246

1

100

1

Q2

152 – 120 = 32
120 = 152 – 32

1

Mark is for all 3 numbers correct.

Q3

24

1

Look for children who have completed a written
method as they should be using known multiplication
facts to work this out mentally.

9

1

Look for children who have completed a written
method as they should be using known division facts
to work this out mentally.

Q4

£1.35

1

Q5

Tom is incorrect; the number should have been
positioned much closer to the zero as it is a
3-digit number and the number line goes up to
10,000

1

Children may split the number line into tenths to help
them, then positioned the number between the 0 and
1,000 mark.
Look for children who have said Tom is correct as
they have probably read 10,000 as 1,000

Q6

500
2

1

Also accept any other combinations of numbers that
total 502

Q7

The third statement should only be ticked.

1

Look for children who have ticked that the number is
a 3-digit number; they may not understand to add a
place holder where no hundreds counters are given.

Q8

Example answers:
V XV

1

Also accept any other combinations of Roman
numerals that total 20

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IX XI

Q9

12

cm

1

18

cm

1

Look for children who have said the perimeter is 14

cm

as they may be confusing perimeter with area.

Q10

The name Sam should be circled.
It will be the 7

th

number in Sam’s track, but the 8

th

number in Jack’s track.

1

Children may complete the number tracks to support
their answer.

Q11

26,320 and 25,320

1

136,000 and 176,000

1

Q12

1,874

2

Award 2 marks for the correct answer.
Award 1 mark if only one step of the calculation has
been done correctly, e.g. 2,328

+ 981 = 3,309

Q13

Nisha is incorrect because…

1

Award 1 mark for Nisha is incorrect followed by a
valid reason:

- The difference between the highest and lowest

temperature is 10 degrees Celsius.

- She has counted the number of divisions

rather than the degrees.

Q14

£72

1

Look for children who have given the answer of £40,
they may not have taken into account the first step of
the problem.

Q15

28,365 – 15962 = 12403

1

Award 1 mark for all 3 digits correct.

Q16

225

2

Award 2 marks for the correct answer
Award 1 mark if children have recognised that they
need to divide by 3, even if their answer is incorrect.

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Q17

2

Award 2 marks for all 5 placed correctly.
Award 1 mark for 2 placed correctly.

Look for children who have not placed any number in
the centre of the diagram; they may not understand
the diagram or that numbers can be factors as well
as multiples.

Q18

£8.00

2

Award 2 marks for the correct answer
Award 1 mark if only one step of the calculation has
been done correctly.
Children could add to find the total cost of both days,
then subtract to find the difference.
Or they could find the difference between the adult
price on both days and multiply it by 2, then repeat
for the child price.

Q19

19,586

2

Award 2 marks for the correct answer.
Award 1 mark if only one step of the calculation has
been done correctly, e.g. 43,472 – 4,300 = 39,172

Q20

9 tins of paint

2

Award 2 marks for the correct answer.
Award 1 mark for calculating the area of the wall as
42 m

2


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