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

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.

http://www.tutortastic.co.uk/



One is done for you.

1 Write the missing number.

is 30 more than 260 230

510 is 30 more than

1 mark




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




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




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




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




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




60

2 marks




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




9

Measure the longest side accurately, in centimetres.

Here is a triangle.

1 mark

cm

Measure the largest angle.

1 mark

ᵒ




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




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




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




14 Round 719,258

to the nearest 100

to the nearest 1,000

to the nearest 10,000

2 marks




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




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

£




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




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




19 One gram of silver costs £5.30.

What is the cost of two kilograms of silver?

Show

your

method

2 marks

£




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




[END OF TEST]

Please do not write on this page.




Key Stage 2

National Curriculum Test Sample

Mathematics:

Paper 2: Reasoning

SAMPLE A

ANSWERS

Total Marks

35




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


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

Documents

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