Mathematics Paper 2: reasoning (May 2018)

1 points

1

Here is a shape on a grid.

Choose the answer that shows the design completed so that it is symmetrical about the mirror line.

Tick one.

1 points

2

Stefan completes this calculation.

Write an addition calculation he could use to check his answer.

One digit has been done for you.

(6)7

+ (2) (8)

——————

(9) (5)

1 points

3

Using the centimetre ruler shown, what is the distance between points A and B?

Not to scale

(6.7, 6.70)cm

1 points

4

These diagrams show three equivalent fractions.

Write the missing values.

(12)

(18)

1 points

5

Here are the temperatures in four cities at midnight and at midday

At midnight, how many degrees colder was Paris than Rome?

(7) degrees

1 points

Which city was 6 degrees colder at midnight than at midday?

(Oslo)

1 points

6

The numbers in this sequence decrease by the same amount each time.

What is the next number in the sequence?

(299604, 299,604)

1 points

7

Tick the two numbers that are equivalent to 14

Tick two.

2 points

8

Ken buys 3 large boxes and 2 small boxes of chocolates.

Each large box has 48 chocolates. Each small box has 24 chocolates.

How many chocolates did Ken buy altogether?

Show
your
method

(192) chocolates

1 points

9

The list below shows the years in which the Cricket World Cup was held since 1992:

Adam is not correct.

Choose the answer that best explains how you know.

Tick one.

Not all of the years have a 4-year difference between, such as 1996 and 1999.
2003 is an odd number so it can't be divided by 4.
We don't know when it was held before 1992.
Adam is getting confused between the Cricket World Cup and the Football World Cup.

2 points

10

Write the correct symbol in each box to make the statements correct.

11 x 12 (<) 15 x 10

90 ÷ 30 (=) 60 ÷ 20

120 ÷ 4 (>) 160 ÷ 8

30 x 8 (<) 100 x 10

2 points

11

Here is a drawing of a 3-D shape.

Complete the table.

Number of faces Number of vertices Number of edges

(6) (8) (12)

Number of faces	Number of vertices	Number of edges
(6)	(8)	(12)

1 points

12

Here is a shape on a grid.

The shape is translated so that point A moves to (7, 8).

Tick the diagram that shows the shape in its new position.

1 points

13

Which improper fraction is equivalent to 6 78 ?

Answer A, B, C, D or E.

(D, 55/8)

1 points

14

Using the letters A, B and C, put these fractions in order, starting with the smallest.

smallest (B, 3/5) (C, 3/4) (A, 6/5)

2 points

15

A box contains trays of melons.

There are 15 melons in a tray.

There are 3 trays in a box.

A supermarket sells 40 boxes of melons.

How many melons does the supermarket sell?

Show
your
method

(1800, 1,800)melons

2 points

16

Adam wants to use a mental method to calculate 182 – 97

He starts from 182

Here are some methods that Adam could use.

Tick the methods that are correct.

add 3 then subtract 90
subtract 100 then add 3
subtract 7 then subtract 90
subtract 3 then subtract 100

3 points

17

There are 28 pupils in a class.

The teacher has 8 litres of orange juice.

She pours 225 millilitres of orange juice for every pupil.

How much orange juice is left over?

Show
your
method

2 points

18

Last year, Jacob went to four concerts.Three of his tickets cost £5 each.

The other ticket cost £7

What was the mean cost of the tickets?

Show
your
method

£ (5.50)

1 points

19

Layla wants to estimate the answer to this calculation.

Tick the calculation below that is the best estimate.

Tick one.

3 - 2 + 2
4 - 2 + 1
4 - 2 + 2
3 - 2 + 1

2 points

20

The length of an alligator can be estimated by:
• measuring the distance from its eyes to its nose
• then multiplying that distance by 12

What is the difference in the estimated lengths of these two alligators?

Show
your
method

(30)cm

1 points

21

Amina is making designs with two different shapes.

She gives each shape a value.

Calculate the value of each shape.

= (36)

1 points

= (25)

1 points

22

This is the net of a cube.

What is the volume of the cube?

(125)cm³

2 points

23

The length of a day on Earth is 24 hours.

The length of a day on Mercury is 5823 times the length of a day on Earth.

What is the length of a day on Mercury, in hours?

Show
your
method

hours

Mathematics Paper 2: reasoning (May 2018)

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