ABC Education · 11+ Practice

Week 46 · Maths Practice Paper

26 questions · 91 marks · Suggested time: 1 hour.

Question 1

[3 marks]

Work out 911 + 91 + 9

Question 2

[3 marks]

Work out 64.8 − 3.6

Question 3

[3 marks]

Work out 25 × 71

Question 4

[3 marks]

Work out 86.1 ÷ 7

Question 5

[2 marks]

Work out 0.04 × 1000

Question 6

[3 marks]

Work out 23 + 35

Question 7

[2 marks]

Fill in the missing numbers: 20x = 14 = ___/16

x =, blank =

Question 8

[3 marks]

Write the following amounts in size order, starting with the smallest.

0.62      64%      1725

Question 9

[3 marks]

A drink and a box of popcorn together cost 95p. Two drinks and a box of popcorn together cost £1.55. What does a box of popcorn cost?

Question 10

[3 marks]

On a bus, the ratio of men to women is 7:5. If there are 15 women on the bus, how many men are on the bus?

Question 11

[2 marks]

Fill in the missing digit so that there is no remainder when the following number is divided by 8: 417_

Question 12

[4 marks]

S = {square numbers} and O = {odd numbers}. Put each of the numbers 1 to 9 into the correct space on the Venn diagram below.

S (square numbers)O (odd numbers)
Both S and O:
S only:
O only:
Neither:

Question 13

[2 marks]

My age is a multiple of 9. Next year it will be a multiple of 4. I am more than 30 years old, but less than 80. How old am I?

Question 14

[3 marks]

A girl is 7 years older than her brother. If the sum of their ages is 23, how old are they?

Question 15

[5 marks]

The 14.35 train from Liverpool arrives at London (Euston) at 17.50.

(a)
How long does the journey take?
(b)
If the average speed of the train is 60 miles per hour, find the distance between London and Liverpool.

Question 16

[2 marks]

A rectangular grid is 7 units wide and 4 units tall (28 unit squares total). A path from one corner to the opposite corner divides it into two pieces of equal area. What is the area of each piece?

Question 17

[4 marks]

Using each of the digits 2, 4 and 9, find two three-digit numbers which have both 2 and 7 as factors.

Question 18

[10 marks]

A school has six first-form classes: 1A, 1B, 1C, 1D, 1E and 1F, with 28, 25, 28, 30, 18 and 24 children respectively.

(a)
Which two forms have the same size?
(b)
Which form is largest?
(c)
How many more children are there in the largest form than in the smallest?
(d)
How many first-formers are there in total?
(e)
What is the average form size?

Question 19

[4 marks]

Here are two spinners: Jill's is a regular hexagon numbered 1–6, and Peter's is a regular pentagon numbered 1–5.

(a)
Find the probability (chance) of Peter spinning a 4.
(b)
Who is more likely to spin an even number?

Question 20

[4 marks]

Last week, there was an average of 4 hours of sunshine per day for the six days Monday to Saturday. On the Sunday, there were 11 hours of sunshine. What was the average amount of sunshine per day for the whole week?

hours

Question 21

[4 marks]

A piece of wire 48cm long is bent into the shape of a rectangle. If the rectangle is three times as long as it is wide, what is its area?

cm²

Question 22

[4 marks]

A 4cm square is divided into a smaller 2cm square in one corner and four other pieces filling the rest (total remaining area = 16 − 4 = 12 cm²). If one of those pieces has area 5cm², what fraction of the total square's area does it represent?

Question 23

[5 marks]

The L-shaped end of a stack of cubes has an area of 108 square inches, made up of 3 cube faces showing.

(a)
What is the length of a side of one cube?
(b)
If the whole staircase figure is made of 6 such cubes, what is its total volume?

Question 24

[3 marks]

Kayla's telephone number is made up of 6 digits. The first digit is 2 and the last is 7. It is also known that the sum of any three consecutive digits in it is 15. What is Kayla's telephone number?

Question 25

[3 marks]

Two farmers were taking cows to a market. One said to the other, 'If you give me one of your cows we shall have the same number.' The other farmer replied, 'If you give me one of yours, I shall have three times as many as you.' How many cows did each have?

Question 26

[4 marks]

A regular pentagon, a regular hexagon and a regular octagon each have some lines of symmetry.

How many lines of symmetry do they have in total, across all three shapes?