ABC Education · 11+ Practice

Week 49 · Maths Practice Paper

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

Question 1

[1 marks]

Calculate: 367 + 428

Question 2

[1 marks]

Calculate: 1672 + 589

Question 3

[1 marks]

Calculate: 863 − 542

Question 4

[1 marks]

Calculate: 573 − 286

Question 5

[2 marks]

Calculate: 64.35 − 52.8

Question 6

[2 marks]

Calculate: 86 × 7

Question 7

[2 marks]

Calculate: 54648 ÷ 8

Question 8

[2 marks]

Calculate: 3145 ÷ 4

Question 9

[2 marks]

Calculate: 534 × 36

Question 10

[2 marks]

Calculate: 4185 ÷ 15

Question 11

[2 marks]

A weighing scale is marked in equal intervals from 60g to 80g, divided into 10 equal parts.

(a)

What is the value of each interval?

(b)

What weight corresponds to the 6th mark after 60g?

Question 12

[2 marks]

The rectangle shown below has an area of 54cm² and its width is 9cm. Calculate the length of the rectangle:

Question 13

[3 marks]

(a)

6 out of 20 squares in a grid are shaded. What percentage is this?

(b)

How many squares out of a grid of 24 would you shade to represent 58 of the grid?

Question 14

[3 marks]

(a)

A shape has a vertex at (2,3). It has a vertical line of symmetry at x = 5. What is the reflected x-coordinate of that vertex?

(b)

A shape has a vertex at (1,6). 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)

44 + ___ = 97

(b)

___ − 23 = 41

(c)

7 × ___ = 98

(d)

___ ÷ 16 = 8

Question 16

[2 marks]

A bar chart shows hours spent reading over a week: Mon 2, Tue 4, Wed 1, Thu ?, Fri 2, Sat 3, Sun 3. If the total for the week is 19 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.

___ × ___ = 36
___ × ___ = 36
___ × ___ = 36

Question 18

[2 marks]

Laura sells some curtains at half price in a sale. If the sale price is £9.49, then what was the price before the sale?

Question 19

[3 marks]

Will buys seven pens. Each pen costs 48p. 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)

5, 11, ___, 23, 29, ___

(b)

96, 48, ___, 12, ___

(c)

2, 2, 4, 6, ___, 16, 26, ___

Question 21

[4 marks]

A sequence of patterns of dots begins with 5, then 9, then 13 dots (each pattern has 4 more dots than the last).

Pattern number	1	2	3	4	5
Number of dots	5	9	13	?	?

(a)

Complete the table.

(b)

How many dots would you need for the 140th pattern?

Question 22

[4 marks]

Two shops sell packs of pens. Supermarket: pack of 4 pens for £4.20. Village Shop: pack of 7 pens for £6.99. I want to buy 28 pens. In which shop is it cheaper to buy the 28 pens, and by how much?

Question 23

[4 marks]

Jonny and Jenifer went to the school canteen at break time. Jonny bought three pears and two oranges. He paid 112p for them. Jenifer bought one pear and two oranges. She paid 64p 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(1,5), Q(4,5) and R(4,2). Find the coordinates of S.

Question 25

[4 marks]

Here are the prices of food and drinks in a café: Pizza £1.60, Burger £1.95, Sandwich £1.25, Toast 95p; Tea 70p, Coffee 85p, Cola £1.55, Juice 95p.

(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 £2.50 change. What did Lee buy?

Question 26

[6 marks]

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

(a)

In class 7Z, there are 32 pupils. There are three times as many boys as girls.

(b)

In class 8M, there are 27 pupils. There are 7 more girls than boys.

(c)

5 builders take 18 days to build a certain wall. How long would it take 6 builders to build the same wall?

Question 27

[4 marks]

Jeremy has 4 cards with the digits 7, 3, 5 and 7 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 30. The top-left is 4, bottom-left is 8, bottom-right is 16. 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 {1,4}, Second group {2,3,5}. Find the other two ways.

Question 30

[3 marks]

A man can walk 5km in 1 hour and his wife can walk 7km in 1 hour. At 12 noon they begin walking at opposite ends of a 48km 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)

Dylan thinks of a number. He multiplies it by 9 and subtracts 15. The answer is 39. What number did Dylan think of?

(b)

Jill thinks of another number. She multiplies it by 7 and subtracts 16. The answer turns out to be two more than the number she first thought of. What number was Jill 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 33.

(a)

Find the value of A.

(b)

You are also told that A+L+P+H+A ('ALPHA') adds up to 16. Work out what B+E+T+A ('BETA') adds up to.

Question 33

[3 marks]

There are 24 people in a room. 11 people are wearing socks and 8 people are wearing shoes, 5 people are wearing both. How many people are in bare feet?

Question 34

[2 marks]

Simplify the following fraction: