Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes...

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For more information relating to our sample test papers for home or school use, please email: [email protected] www.tutortastic.co.uk 1 | P a g e 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.

Transcript of Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes...

Page 1: Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes You MAY NOT use a calculator to answer any questions in this test. For more information

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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.

Page 2: Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes You MAY NOT use a calculator to answer any questions in this test. For more information

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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

Page 3: Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes You MAY NOT use a calculator to answer any questions in this test. For more information

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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

Page 5: Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes You MAY NOT use a calculator to answer any questions in this test. For more information

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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

Page 6: Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes You MAY NOT use a calculator to answer any questions in this test. For more information

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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

Page 7: Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes You MAY NOT use a calculator to answer any questions in this test. For more information

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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

Page 9: Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes You MAY NOT use a calculator to answer any questions in this test. For more information

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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

Page 10: Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes You MAY NOT use a calculator to answer any questions in this test. For more information

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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

Page 13: Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes You MAY NOT use a calculator to answer any questions in this test. For more information

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14 Round 719,258

to the nearest 100

to the nearest 1,000

to the nearest 10,000

2 marks

Page 14: Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes You MAY NOT use a calculator to answer any questions in this test. For more information

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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

Page 15: Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes You MAY NOT use a calculator to answer any questions in this test. For more information

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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

£

Page 16: Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes You MAY NOT use a calculator to answer any questions in this test. For more information

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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

£

Page 19: Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes You MAY NOT use a calculator to answer any questions in this test. For more information

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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

Page 20: Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes You MAY NOT use a calculator to answer any questions in this test. For more information

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[END OF TEST]

Please do not write on this page.

Page 21: Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes You MAY NOT use a calculator to answer any questions in this test. For more information

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Key Stage 2

National Curriculum Test Sample

Mathematics:

Paper 2: Reasoning

SAMPLE A

ANSWERS

Total Marks

35

Page 22: Mathematics: Paper 2: Reasoning SAMPLE A · Paper 2: Reasoning SAMPLE A Time Allowed: 40 minutes You MAY NOT use a calculator to answer any questions in this test. For more information

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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