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

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Q1

Thirty thousand, two hundred and four

1

Written in words or numerals

13,302

1

Q2

20
10
120

2

1 mark for 2 correct.
2 marks for all 3 correct.

Q3

3 metres

1

Q4

£20

1

Can be written £20 or £20.00

Q5

75,927

1

10,439

1

Look for children who complete with column
subtraction and which children complete mentally as
the numbers are similar.

Q6

5 + 8 × 2 or 5 + 2 × 8

21

2

2 marks for both parts correct.
1 mark if numbers placed incorrectly but solved
showing knowledge of BODMAS. e.g. 2 + 5 × 8 = 42

Q7

51 p

2

1 mark for one step of correct calculation.
e.g. Children have calculated 85 × 3 correctly but
then followed through with an incorrect division OR
children have calculated 85 × 3 incorrectly but
followed through with a correct division.

Q8

64 g

2

Award 2 marks for correct answer.
Award 1 mark for one correct step of working.
81 ÷ 3 = 27 27 × 8 = 216 280 – 216 = 64g

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Q9

16

1

16 indicated in some way

4

1

Q10

No.. with an explanation

1

Award 1 mark for a reason explaining that 2 is a
prime number and is even so therefore all prime
numbers are not odd.

Q11

Rectangle B with an explanation and working

3

Award 3 marks for all working shown.
Award 1 mark for finding perimeter of rectangle A,
one mark for finding area of both rectangles and one
mark for finding perimeter of rectangle B.
Perimeter of rectangle A = 5 + 5 + 2.4 + 2.4 = 14.8cm
Area of rectangle A = 5 × 2.4 = 12 cm

2

Area of rectangle B = 12 cm

2

therefore the missing

side is 12 ÷ 6 = 2 cm
Perimeter of rectangle B = 6 + 6 + 2 + 2 = 16 cm

Q12

P = 2 , Q = 7 , R = 9 or P = 7, Q = 2, R = 9

2

Award 2 marks for the correct answer.
Award 1 mark for two out of the three numbers
correct e.g. 7 + 9 = 16 or 1 + 3 = 4 or 2 + 2 = 4

Q13

No, the field is not big enough as it is 550 m

2

and

the sheep would need 700 m

2

3

Award 3 marks for the correct answer with an
explanation comparing the size of the field with how
much the sheep need.
Award 1 mark for one step of correct mathematical
working.
Award 2 marks for two steps of correct mathematical
working.
Possible methods:

- 28 × 25 to find area of complete rectangle is

700 m

2

then subtract 10 × 15 to find area of

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rectilinear shape is 550 m

2

show that this is

too small as sheep need 2 × 350 m

2

- Children split the shape into two smaller

rectangles and calculate the area of both
before adding together to find the area of the
whole shape. They then show that this is too
small as sheep need 2 × 350 m

2

Q14

15 cm

2

1

Q15

36 children

2

Award 2 marks for the correct answer.
Award 1 mark for one step of correct calculation:

- Indicating 180°is half of the pie chart
- Indicating multiplying by 6

If 30°equals 6 children then 180°equals 6 multiplied
by 6. Therefore 180°is equal to 36 children

Q16

10

2

Award 2 marks for the correct answer.
Award 1 mark for one step of correct calculation.

- Finding the total of the four numbers is 50
- Finding that 5 × 12 is 60 so the difference is

10


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