ABC Education · 11+ Practice

Week 9 · Maths Practice Paper

32 questions · 100 marks · Suggested time: 45 minutes.

Question 1

[2 marks]

Add together 78, 64 and 438.

Question 2

[2 marks]

Work out 4702 - 135

Question 3

[2 marks]

Multiply 68 by 7

Question 4

[2 marks]

Divide 6328 by 8

Question 5

[3 marks]

Work out 59 + 16

Question 6

[3 marks]

Work out 3 16 - 710

Question 7

[3 marks]

Find 35% of 180

Question 8

[3 marks]

Work out 4.62 + 9.08 + 3.7

Question 9

[3 marks]

A field is planted with cabbages in rows. Each row contains 26 cabbage seeds and there are 47 rows. How many cabbage seeds are there in the field?

Question 10

[3 marks]

A teacher shares a large packet of sweets evenly to her class of 17 pupils and then eats the leftover sweets. There were 210 sweets in the packet, how many does the teacher eat?

Question 11

[3 marks]

Zoya wants to buy a computer game that costs GBP 41.75 in the shop but decides to wait until there is a sale. In the sale Zoya buys the computer game for GBP 33.28. How much money did she save?

GBP

Question 12

[3 marks]

Nadia decides to share her pizza with two of her friends. She gives one friend a quarter of the pizza and the other friend two fifths of the pizza. What fraction of the pizza is left for Nadia?

Question 13

[3 marks]

Farid has a collection of 1523 marbles! He gives his friend 748 of the marbles. How many does Farid have left?

Question 14

[3 marks]

There are 10 millimetres in a centimetre and 100 centimetres in a metre. How many millimetres are there in 31.4 metres?

Question 15

[3 marks]

The diagram shows a field viewed from above. All dimensions are given in metres. A mouse walks all the way around the edge of this field. How far does the mouse walk in metres?

85 m68 m22 m150 m

Question 16

[2 marks]

Write down the next two numbers in each sequence

(a)
9, 13, 17, 21, ___, ___
(b)
130, 119, 108, 97, ___, ___

Question 17

[2 marks]

I think of a number. When I multiply this number by 12 and then subtract 9 I get 51. What number am I thinking of?

Question 18

[5 marks]

I asked 48 year 7 students what their favourite food was. The results are shown in this pie chart.

ChipsFruitChocolatePizza
(a)
How many year 7s have chips as their favourite food?
(b)
What fraction of year 7s have chocolate as their favourite food?
(c)
Estimate the number of year 7s who have pizza as their favourite food.

Question 19

[2 marks]

Write each list of numbers in order from smallest to largest

(a)
0.65, 0.6, 6.6, 6.06
(b)
7, -9, -14, 6, 10

Question 20

[4 marks]

Marcus went shopping and bought 4 computer games that cost GBP 18.75 each and 3 doughnuts that cost GBP 2.15 each. How much change did Marcus get from GBP 100?

GBP

Question 21

[3 marks]

Nadia, Farah and Elena share a bag of sweets. Nadia gets 5 more sweets than Farah and Elena gets twice as many sweets as Nadia. Elena gets 30 sweets. How many sweets are there in the bag?

Question 22

[4 marks]

On the coordinate grid below each small square represents 1cm by 1cm. The rectangle has been plotted using the points (5,1), (5,4), (-2,4) and (-2,1).

(5,1)(5,4)(-2,4)(-2,1)
(a)
What is the area of the rectangle?
(b)
If the rectangle is reflected in the x axis, what are the coordinates of its new four vertices?

Question 23

[2 marks]

Look at the sequence below. Some of the numbers are missing. Fill in the numbers so that they fit the pattern, and describe the pattern in words.

3, ___, ___, 24, 48, 96
Missing numbers and description:

Question 24

[3 marks]

Look at the diagram. Find the size of angle k.

AB140°100°kNot drawn accurately

Question 25

[4 marks]

Work out the missing values

14% of 2500 =
___% of 75 = 15
20% of ___ = 90

Question 26

[5 marks]

The cost in pounds, C, of going to the cinema can be worked out using the formula C = 7a + 5k, where a stands for the number of adults and k stands for the number of children.

(a)
What is the cost if three adults and one child go to the cinema?
(b)
The total cost for the Okoye family is GBP 29. How many adults and how many children are in the family?

Question 27

[4 marks]

Work out the value of

(a)
6 + 8 × 7 - 4
(b)
(9 + 16) × -12
(c)
3 × 122
(d)
-18 - 24

Question 28

[7 marks]

Solve each equation

(a) x + 95 = 20
(b) 8y - 18 = 46
(c) 12g + 350 = 710 - 8g

Question 29

[3 marks]
(a)
A square has a perimeter of 36cm. What is the area of the square?
(b)
A rectangle has perimeter 40cm. The rectangle is three times as long as it is wide. What is the area of the rectangle?

Question 30

[3 marks]

The floor of a room is 4 metres wide and 6 metres long. I am going to tile the floor with tiles that are 30 centimetres wide and 40 centimetres long. How many tiles do I need to buy?

Question 31

[3 marks]

I flip a fair coin that has the number 4 on one side and the number 6 on the other side. At the same time I roll a fair four sided dice that has the numbers 1 to 4 on it. Then I add the two numbers. If I do this 40 times how many times would you expect me to get a total of 8?

Question 32

[3 marks]

A new mobile phone app is sold for 89 pence per download and proves to be very popular so that 180 people are downloading the app every day. The person who created the app gets 38 pence every time it is downloaded and she gets paid at the end of each week. How many weeks will it take for her to have GBP 3,000?