ABC Education · 11+ Practice

Week 51 · Maths Practice Paper

34 questions · 97 marks · Suggested time: 1 hour.

Question 1

[1 marks]

Calculate: 283 + 536

Question 2

[1 marks]

Calculate: 1743 + 468

Question 3

[1 marks]

Calculate: 924 − 518

Question 4

[1 marks]

Calculate: 462 − 278

Question 5

[2 marks]

Calculate: 57.62 − 48.3

Question 6

[2 marks]

Calculate: 76 × 9

Question 7

[2 marks]

Calculate: 38584 ÷ 8

Question 8

[2 marks]

Calculate: 2436 ÷ 5

Question 9

[2 marks]

Calculate: 326 × 54

Question 10

[2 marks]

Calculate: 3696 ÷ 14

Question 11

[2 marks]

A weighing scale is marked in equal intervals from 60g to 90g, divided into 10 equal parts.

(a)

What is the value of each interval?

(b)

What weight corresponds to the 8th mark after 60g?

Question 12

[2 marks]

The rectangle shown below has an area of 63cm² and its width is 7cm. Calculate the length of the rectangle:

Question 13

[3 marks]

(a)

8 out of 25 squares in a grid are shaded. What percentage is this?

(b)

How many squares out of a grid of 32 would you shade to represent 34 of the grid?

Question 14

[3 marks]

(a)

A shape has a vertex at (3,4). It has a vertical line of symmetry at x = 6. What is the reflected x-coordinate of that vertex?

(b)

A shape has a vertex at (2,5). It has a line of symmetry along y = x. What are the reflected coordinates of that vertex?

Question 15

[4 marks]

Write numbers in the boxes below to make these sums correct.

(a)

48 + ___ = 103

(b)

___ − 27 = 38

(c)

6 × ___ = 102

(d)

___ ÷ 18 = 7

Question 16

[2 marks]

A bar chart shows hours spent hiking over a week: Mon 3, Tue 5, Wed 2, Thu ?, Fri 1, Sat 4, Sun 2. If the total for the week is 20 hours, how many hours does Thursday's missing bar represent?

Question 17

[3 marks]

Write numbers in the boxes below to make correct calculations. You must use different numbers each time.

___ × ___ = 48
___ × ___ = 48
___ × ___ = 48

Question 18

[2 marks]

Laura sells some curtains at half price in a sale. If the sale price is £11.49, then what was the price before the sale?

Question 19

[3 marks]

Will buys eight pens. Each pen costs 47p. He pays with a £10 note. Work out how much change he should get.

Question 20

[6 marks]

Write down the missing terms in each of the sequences below:

(a)

6, 13, ___, 27, 34, ___

(b)

128, 64, ___, 16, ___

(c)

3, 3, 6, 9, ___, 24, 39, ___

Question 21

[4 marks]

A sequence of patterns of dots begins with 6, then 11, then 16 dots (each pattern has 5 more dots than the last).

Pattern number	1	2	3	4	5
Number of dots	6	11	16	?	?

(a)

Complete the table.

(b)

How many dots would you need for the 130th pattern?

Question 22

[4 marks]

Two shops sell packs of pens. Supermarket: pack of 5 pens for £5.45. Village Shop: pack of 8 pens for £7.92. I want to buy 40 pens. In which shop is it cheaper to buy the 40 pens, and by how much?

Question 23

[4 marks]

Jonny and Jenifer went to the school canteen at break time. Jonny bought four pears and one orange. He paid 100p for them. Jenifer bought two pears and one orange. She paid 56p for her fruit. Work out, in pence, how much pears and oranges cost at their school canteen.

Cost of one pear

Cost of one orange

Question 24

[2 marks]

PQRS is a square with P(2,6), Q(6,6) and R(6,2). Find the coordinates of S.

Question 25

[4 marks]

Here are the prices of food and drinks in a café: Pizza £1.70, Burger £2.05, Sandwich £1.35, Toast £1.00; Tea 75p, Coffee 90p, Cola £1.50, Juice £1.00.

(a)

Sally wants to buy one item of food and one drink. What is the least amount of money she can pay?

(b)

Lee buys one item of food and one drink. He pays with a £5 note and gets £2.15 change. What did Lee buy?

Question 26

[6 marks]

Work out the number of boys and girls in each class below.

(a)

In class 7X, there are 36 pupils. There are twice as many boys as girls.

(b)

In class 8P, there are 29 pupils. There are 9 more girls than boys.

(c)

6 builders take 15 days to build a certain wall. How long would it take 10 builders to build the same wall?

Question 27

[4 marks]

Jeremy has 4 cards with the digits 8, 2, 9 and 8 written on them.

(a)

Write down the smallest number Jeremy can make using all of these cards.

(b)

How many different numbers can Jeremy make using all of the cards?

Question 28

[2 marks]

Fill in the missing numbers so that each row, each column and each diagonal adds up to 45. The top-left is 6, bottom-left is 12, bottom-right is 24. What is the centre number?

Question 29

[4 marks]

Arrange all the numbers 1, 2, 3, 4 and 5 into two groups, so that doubling the sum of the first group gives the sum of the second group. There are three different ways the numbers can be arranged. One way is given: First group {2,3}, Second group {1,4,5}. Find the other two ways.

Question 30

[3 marks]

A man can walk 6km in 1 hour and his wife can walk 8km in 1 hour. At 12 noon they begin walking at opposite ends of a 56km road towards each other.

(a)

How far from the man's starting point will they be when they meet?

(b)

What time will they meet?

Question 31

[5 marks]

(a)

Emma thinks of a number. She multiplies it by 6 and subtracts 18. The answer is 42. What number did Emma think of?

(b)

Jack thinks of another number. He multiplies it by 8 and subtracts 25. The answer turns out to be three more than the number he first thought of. What number was Jack thinking of?

Question 32

[4 marks]

Seven cards have letters P, H, A, B, L, E, T on one side, and the numbers 1–7 on the other side (not necessarily in that order). You are told that A+L+P+H+A+B+E+T ('ALPHABET') adds up to 34.

(a)

Find the value of A.

(b)

You are also told that A+L+P+H+A ('ALPHA') adds up to 21. Work out what B+E+T+A ('BETA') adds up to.

Question 33

[3 marks]

There are 28 people in a room. 13 people are wearing socks and 9 people are wearing shoes, 6 people are wearing both. How many people are in bare feet?

Question 34

[2 marks]

Simplify the following fraction: