ABC Education · 11+ Practice

Week 5 · Maths Practice Paper

30 questions · 64 marks · Suggested time: 1 hour.

Question 1

[2 marks]

Multiply 3214 by 8

Answer:

Question 2

[2 marks]

Subtract 946 from 1583

Answer:

Question 3

[6 marks]

Write down the next two numbers in each of these sequences:

(a)
5, 9, 13, 17, 21, ........, ........
(b)
61, 52, 43, 34, ........, ........
(c)
2.2, 2.8, 3.4, 4.0, 4.6, ........, ........

Question 4

[2 marks]

What fraction of the diagram below is shaded?

(a)
Write your answer as simply as possible
(b)
Now shade in more triangles until three-quarters of the picture is shaded. How many MORE triangles need shading?

Question 5

[2 marks]

A concert crowd is made up of 18,000 people. 35% of them are wearing team merchandise. How many are wearing merchandise?

Answer:

Question 6

[1 marks]

How many tenths are there in 4 12 ?

Answer:

Question 7

[1 marks]

How many hours are there in 2 weeks?

Answer:

Question 8

[1 marks]

What is two-sevenths of 2100?

Answer:

Question 9

[2 marks]

Write the following numbers in order from smallest to largest

5.16      5.6      5.06      4.9      5.61
Answer:

Question 10

[2 marks]

A train leaves Kings Cross Station at 14:45 and takes 4 34 hours on its journey. At what time does it arrive?

Answer:

Question 11

[2 marks]
(a)
Express 56 km in metres
(b)
Express 4800 cm in metres

Question 12

[1 marks]

I used my calculator to work out (48 × 19) ÷ 101. Before doing so I worked out in my head that the answer should be about 10. What simple calculations did I do in my head?

Answer:

Question 13

[1 marks]

What percentage is 12p out of GBP 2.40?

Answer:

Question 14

[2 marks]

A shape has a vertical mirror line at x = 6. One half of the shape (where x ≤ 6) has vertices at (1,1), (1,5) and (4,3). What are the coordinates of the reflected vertices on the other side of the mirror line?

Answer:

Question 15

[1 marks]

Ben jogs at a speed of 4 metres per second. How far does he jog in 20 minutes?

Answer:

Question 16

[3 marks]

Write each of these amounts to the nearest hundred pounds:

(a)
GBP 832
(b)
GBP 3,155
(c)
GBP 75,050

Question 17

[1 marks]

Mia has 45 sweets. She eats 36 of them. What fraction of the sweets has she eaten? Write your answer in its simplest form.

Answer:

Question 18

[4 marks]

The bar chart below shows the marks out of 10 obtained by 30 pupils in a test.

0246012345678910pupilsmarks out of 10
(a)
How many pupils scored more than 8 marks?
(b)
What was the most common mark?
(c)
How many pupils scored 4 marks?
(d)
Calculate how many pupils took the test in total.

Question 19

[2 marks]

To cook a joint of meat, you leave it in the oven for 30 minutes for every kilogram it weighs, plus 10 minutes extra. Find how long you would cook a joint weighing:

(a)
2 kg
(b)
3 12 kg

Question 20

[3 marks]

To go and watch a film at the cinema, the tickets cost GBP 4 each for a child and GBP 9 each for an adult. I was charged GBP 67 for all of the tickets I bought.

(a)
Did I buy more than 7 adult tickets?
(b)
If there were more adult tickets than child tickets, how many of each did I buy?
(c)
If there were more child tickets than adult tickets, how many of each did I buy?

Question 21

[2 marks]

Find the perimeter and area of this shape. It is not drawn to scale.

6 cm9 cm4 cm18 cmNOT TO SCALE
Perimeter:
Area:

Question 22

[2 marks]

Write down, in rising order of size, all the 3-digit numbers which can be formed by using the digits 4, 5 and 6 once each.

Answer:

Question 23

[5 marks]

Here is a numbers game. There are two numbers which are first added together and then multiplied together. Fill in the gaps in the table (the first row is done for you).

First NumberSecond NumberNumbers Added TogetherNumbers Multiplied Together
681448
715??
11?20?
?25?1200
??23120
??25126
Row 2
Added, then Multiplied
Row 3
Second number, then Multiplied
Row 4
First number, then Added
Row 5
The two numbers
Row 6
The two numbers

Question 24

[2 marks]

There are 50 coloured counters in a box. Half of them are red, one-tenth are yellow and the rest are green.

(a)
How many are green?
(b)
If I shake the box and then pick out one counter at random, what is the probability that it is green? (give your answer as a fraction in its simplest form)

Question 25

[2 marks]

Complete the blanks

(a)
7 × ......... = GBP 12.60
(b)
......... ÷ 6 = 1.35 cm

Question 26

[1 marks]

Calculate 15625 ÷ 25

Answer:

Question 27

[1 marks]

In January, the average temperature in Helsinki (Finland) is -6.2°C. The average temperature in Athens (Greece) is 14°C warmer than it is in Helsinki. What is the average temperature in Athens?

Answer:

Question 28

[1 marks]

The area of a triangle is 80 cm2 and it has a base length of 16cm. What is the height of the triangle?

Answer:

Question 29

[2 marks]

The favourite subjects of a group of 120 boys are shown in the table below. Calculate the missing number.

SubjectNumber of boys
Maths20
Science30
English?
Art15
(a)
How many boys chose English?
(b)
If this were drawn as a pie chart, what angle would the English sector take up?

Question 30

[5 marks]

Each of the symbols α, β, γ, δ and ε stand for a different whole number. The numbers are connected by the following rules. Write down what number each of the five symbols stands for:

α - β + γ - δ + ε = 0
δ ÷ 5 = γ
α - 7 = β
9 × β = 0
δ + γ = 18
α =
β =
γ =
δ =
ε =