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For more information relating to our sample test papers for home or school use, please email: [email protected]
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First name: Middle name: Last name: Date of birth: Day Month Year School name:
Total Marks
35
Key Stage 2
National Curriculum Test Sample
Mathematics:
Paper 2: Reasoning
SAMPLE A Time Allowed: 40 minutes
You MAY NOT use a calculator to answer any questions in this test.
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One is done for you.
1 Write the missing number.
is 30 more than 260 230
510 is 30 more than
1 mark
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2 A jar contains 310 marbles.
6 children each take 5 marbles.
How many marbles are left in the jar?
2 marks
Show
your
method
marbles
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3 This graph shows the temperature in six cities on one day in March.
Temperature
(ᵒC)
London
Warsaw
Malaga
Dubai
Helsinki
Kazan
Cities
Which city was 15 degrees warmer than Helsinki?
1 mark
What was the difference between the temperature in Malaga and the
temperature in Warsaw?
ᵒC
1 mark
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4 Here are some shapes made of squares.
A fraction of each shape is shaded.
Match each shape to its equivalent fraction.
One has been done for you.
1
2
1
10
9
10
2
5
1
5
2 marks
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5 What is 335 minutes in hours and minutes?
hours minutes
6 The clock on Dean’s bedroom wall shows ten minutes past four.
The clock is fifteen minutes slow.
What is the correct time?
1 mark
1 mark
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7 In the triangles, write a multiple that belongs to each set.
One has been done for you.
numbers from 51 to 89 multiple of 10
numbers from 205 to 305 multiple of 50
numbers from 325 to 425 multiple of 20
numbers from 365 to 485 multiple of 60
60
2 marks
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8
How much will a box of 8 doughnuts cost?
Ameera bakes doughnuts and sells them in boxes.
She uses this formula to work out how much to charge
for one box of doughnuts.
Cost = number of doughnuts x 30p + 25p for the box
1 mark
£
Lara buys a box of doughnuts for £3.85
Use the formula to calculate how many doughnuts are in the box.
Show
your
method
2 marks
doughnuts
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9
Measure the longest side accurately, in centimetres.
Here is a triangle.
1 mark
cm
Measure the largest angle.
1 mark
ᵒ
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10 Write the two missing digits to make this long multiplication correct.
3 1
7 3 x
4 2 1
0 7 1 2
2 2 9 4
2 marks
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11 Here is a number written in Roman numerals.
LXX
Write the number in figures.
1 mark
12 What is half way between 5.7 and 8.1?
1 mark
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13 The diagram shows a shaded hexagon on a square grid.
Line A joins two vertices of the hexagon.
Join two other vertices to draw a line parallel to line A.
A
Join two other vertices to draw a line perpendicular to line A.
1 mark
A
Use a ruler.
Use a ruler.
1 mark
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14 Round 719,258
to the nearest 100
to the nearest 1,000
to the nearest 10,000
2 marks
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𝛼
15 A shaded isosceles triangle is drawn inside a rectangle.
NOT to scale.
𝛼
42ᵒ
Calculate the size of angle 𝛼.
Show
your
method
2 marks
𝛼 is ᵒ
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16 A large bag of sweets costs £5.80
A small bag of sweets costs £2.50
Six children together buy two large bags and one small bag.
They share the cost equally.
How much does each child pay?
Show
your
method
2 marks
£
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17 Eight children rolled a marble and measured the distance.
Children Distance marble rolled
(cm)
Amy 234
Hannah 230
Ciara 300
Ahad 200
Farhaan 198
Ted 211 Ruby 189
Max 302
What was the mean distance that the marbles rolled?
Show
your
method
cm
2 marks
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18 80 boys and 40 girls were asked which pizza topping they liked the best.
These two pie charts show the results.
Pepperoni Pepperoni
Ham
Ham
Cheese
and
Tomato
Cheese
and
Tomato
Max says,
“The pie charts show that the same amount of boys and girls liked pepperoni
pizzas.”
Max is incorrect.
Explain how you know.
1 mark
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19 One gram of silver costs £5.30.
What is the cost of two kilograms of silver?
Show
your
method
2 marks
£
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20 On Wednesday, Helena made 3
5 of her friendship bracelets.
On Friday, she finished the other 30 bracelets.
How many bracelets did Helena make altogether?
Show
your
method
2 marks
bracelets
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[END OF TEST]
Please do not write on this page.
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www.tutortastic.co.uk 1 | P a g e
Key Stage 2
National Curriculum Test Sample
Mathematics:
Paper 2: Reasoning
SAMPLE A
ANSWERS
Total Marks
35
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1) 540 (1 mark)
2) 280 (2 marks)
3a) London (1 mark)
3b) 20 ᵒC (1 mark)
4) See diagram below (2 marks)
5) 5 hours & 35 mins (1 mark)
6) 4:25pm/16:25 or in words (1 mark)
7a) 60, b) 250 or 300
c) 340/360/380/400 or 420
d) 420 or 480 (2 marks for all correct, 1
mark for 2 correct.)
8a) £2.65 (1 mark)
8b) 12 (2 marks)
9a) 9.8cm (+/- 3) (1 mark)
9b) 126ᵒ (+/- 3) (1 mark)
10) Top: 3, Bottom: 4 (2 marks)
11) 70 (1 mark)
12) 6.9 (1 mark)
13) See diagram below (2 marks)
14a) 719,300, b) 719,000,
c) 720,000 (2 marks for all correct, 1 mark
for 2 correct)
15) 96 ᵒ (2 marks)
16) £2.35 (2 marks)
17) 233 (2 marks)
18) Pupils need to mention that the pie charts
represent a different number/amount of children.
(1 mark)
19) £10,600 (2 marks)
20) 75 bracelets (2 marks)
Total: 35 marks
Total out of 35 marks
Answers – Mathematics Paper 2: Reasoning: SAMPLE A