ABC Education · 11+ Practice

Week 68 · Maths Practice Paper

36 questions · multiple choice · Suggested time: 45 minutes.

Questions

Question 1

Harry says 25% of the eggs in his hatchery have hatched and he has 9 new chicks now. How many eggs did he have in total?

Question 2

The table below shows the number of employees of some UK companies. Which company has the most employees?

Company	Employees
Sainsbury's	112,300
HSBC	235,350
BT	105,303
Tesco	293,211
Barclays	100,798

Question 3

Which of the numbers below is rounded to 570, if all of the numbers are rounded to the nearest 10?

Question 4

To make meringue you need eggs and sugar in the ratio 2 parts egg to 9 parts sugar. If you are making a meringue mixture with 50 grams of eggs, how many grams of sugar will you need?

Question 5

Complete the boxes with +, -, x or / to make the statement correct (like the example: 8 x 3 = 24 = 28 - 4). Which pair of operators (first box, then second box) works for: 15 (box) 3 = 8 (box) 3 ?

Question 6

Using the same rule, which pair of operators (first box, then second box) works for: 18 (box) 3 = 45 (box) 9 ?

Question 7

A group of friends are discussing how they like their boiled eggs. Jared likes his cooked for 5 mins, Penelope likes 6 mins, Ric prefers 3 mins, Abdul likes 4 mins, Harriet likes 3 mins and Taj prefers 3 mins. What is the mean of their preferred cooking times in minutes?

Question 8

What is the missing digit in the following addition?

2

3

?

4

+

Question 9

I want to buy a cup of coffee for each of my 5 friends and each cup costs £2. How much will I spend in total on cups of coffee for my friends?

Question 10

What is the perimeter of this shape in centimetres?

Question 11

A bakery asked its bakers to record the number of pies they baked and made a bar chart. One baker (Dory) forgot to record their number in the table. Use the bar chart to find the missing value.

Question 12

What are the coordinates of point C?

Question 13

Mandy sells handmade toys and recorded her cumulative sales over a week. Sunday's total isn't labelled on the graph — read it off the line.

Day	Mon	Tues	Wed	Thurs	Fri	Sat	Sun
Money (£)	2	3	6	6	9	12	?

Question 14

Wesley has a grid of six cells (shown below). He wants to colour two of the cells black so that the two black cells share a vertex but not a side. In how many ways can he achieve this?

Question 15

How many of these equations have the solution x = 12? x - 2 = 10 x2 = 24 10 - x = 2 2x - 1 = 25

Question 16

Four different positive integers have a product of 110. What is the sum of the four integers?

Question 17

Exactly one of the following five numbers is not prime. Which is it? 101 103 107 109 111

Question 18

Each of these figures is based on a rectangle whose centre is shown. How many of the figures have rotational symmetry of order two?

Question 19

How many centimetres are there in 66.6 metres?

Question 20

Amrita thinks of a number. She doubles it, adds 9, divides her answer by 3, and finally subtracts 1. She obtains the same number she originally thought of. What was Amrita's number?

Question 21

How many minutes is it from 23:35 today to 01:15 tomorrow?

Question 22

One half of one third of one quarter of one fifth of a number is 2. What is the number?

Question 23

A group of 42 children all play tennis or football, or both sports. The same number play tennis (in total) as play just football. Twice as many play both tennis and football as play just tennis. How many of the children play football (in total)?

Question 24

Which of these is equal to 0.1 + 0.2 + 0.3 - 0.40.5?

Question 25

Sam has eaten three-quarters of the grapes. What is the ratio of the number of grapes that remain to the number Sam has eaten?

Question 26

Which of the following five shapes can be cut into 4 separate pieces by a single straight cut?

Question 27

On Aoife's 16th birthday, Buster was three times her age. On Aoife's 21st birthday, how old was Buster?

Question 28

Which of these is closest to 7?

Question 29

The shortest street in the UK, Ebenezer Place in Wick, is 2.06 m long. The Trans-Canada Highway, one of the world's longest roads, is approximately 7821 km in length. Approximately, how many times longer than the street is the highway?

Question 30

What is 50% of 18.3 plus 18.3% of 50?

Question 31

What is the last digit of the smallest positive integer whose digits add to 2019?

Question 32

A train carriage has 80 seats. On my journey I noticed that all the seats in my carriage were taken and 7 people were standing. At Banbury, 9 people left the carriage, 28 people entered it and all seats were taken. How many people now had no seat?

Question 33

The diagram shows a square, with an equilateral triangle attached to one side, and one diagonal of the square drawn in. What is the value of x?

Question 34

How many integers are greater than 20 + 18 and also less than 20 x 18?

Question 35

The approximate cost of restoring the Flying Scotsman was £4 million. This was about 500 times the cost of building the steam engine in 1923. Roughly what did the engine cost to build?

Question 36

What is the value of 222 + 222?