ABC Education · 11+ Practice

Week 2 · Maths Practice Paper

21 questions · 50 marks · Suggested time: 45 minutes.

Question 1

[1 marks]

384 + 657 + 79

Answer:

Question 2

[1 marks]

1342 - 758

Answer:

Question 3

[1 marks]

483 × 7

Answer:

Question 4

[1 marks]

4256 ÷ 7

Answer:

Question 5

[2 marks]

Ravi buys 4 small bags of raisins and pays with a GBP 5 note. He receives GBP 1.40 change. How much does each bag cost?

Cost:

Question 6

[4 marks]

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

(a)
50000, 5000, 500, 50, ___, ___
(b)
4, 8, 16, 32, ___, ___
(c)
2, 2, 4, 6, 10, ___, ___
(d)
2, 5, 10, 17, ___, ___

Question 7

[2 marks]

Find three prime numbers that add up to 34

Ans:

Question 8

[2 marks]

Three sevenths of the children at a fairground are boys. There are 96 girls at the fairground. How many boys are there?

Ans:

Question 9

[3 marks]

The line graph below can be used to change pounds sterling into kroner.

0204060801000481216kronerpence16 kroner = GBP 1
(a)
How many kroner would I get for 75p?
(b)
How much are 20 kroner worth?
(c)
Tom buys sweets and a magazine that cost GBP 6.25. How much is this in kroner?

Question 10

[3 marks]

Maya's garden is 30 m long and 15 m wide and she wants to cover it with mulch which comes in 50 kg sacks. 10 kg of mulch covers an area of 15 m2.

Work out the area of the garden:
How many sacks of mulch does Maya need for the whole garden?

Question 11

[3 marks]

Calculate parts (a) and (b), then look at the diagram below for part (c).

(a)
35 + 710
(b)
78 - 23
(c)
What fraction of the diagram above is shaded?

Question 12

[3 marks]

The co-ordinates of three corners of a rectangle are: A(2,3), B(2,9), C(9,3). These are plotted on the grid below, with A joined to B and A joined to C to give two sides of the rectangle.

ABC02468100246810
(a)
Write down the co-ordinates of the fourth corner, D.
(b)
Write down the equations of the two lines of symmetry of the rectangle.

Question 13

[2 marks]

Leo starts his science homework at 4.15 pm and he finishes it at 6.05 pm. During that time he watches an episode of a show for 30 minutes and he chats to his friend Max on the phone for 15 minutes. How long is Leo actually working on his homework?

Ans:

Question 14

[2 marks]

How many 32p stamps can Priya buy for GBP 12, and how much change will she receive?

Ans:

Question 15

[4 marks]

The bar chart below shows the rainfall for one week.

04812MonTueWedThuFriSatSunmm
(i)
What was the rainfall on Tuesday?
(ii)
How much more rain was there on Friday than Sunday?
(iii)
Find the total rainfall for the week?
(iv)
What is the average daily rainfall?

Question 16

[2 marks]

Priya has GBP 1.80 that she wants to share between 7 girls and 4 boys so that the girls each have twice as much as the boys. How much does each girl and each boy receive?

Girl:
Boy:

Question 17

[4 marks]

This pie chart represents the favourite ice cream flavours of 144 students.

Chocolate120°Strawberry90°VanillaMint70°NOT TO SCALE
(a)
Which flavour was the favourite of 13 of these students?
(b)
What fraction of these students chose Mint?
(c)
Work out the size of the angle for Vanilla.
(d)
How many of the 144 students chose Strawberry?

Question 18

[2 marks]

To encourage her to tidy her bedroom, Ellie is given 2p on the first day, 4p on the second day, 8p on the third day and so on, doubling the amount each day. How much has she been given in total after 7 days?

Ans:

Question 19

[3 marks]

Ravi places three ordinary dice in a row on a table, touching each other, as shown in the diagram below. The numbers on opposite faces of a dice always add up to 7.

Between them, the faces Ravi CAN see show the numbers 5, 3, 6, 2, 4, 1, 6 and 2.
532416left face: 6right face: 2
Work out the total of all the faces Ravi cannot see.

Question 20

[2 marks]

Calculate the perimeter of this shape, stating your units very carefully.

60 cm1.2 m45 cm1.5 m
Ans:

Question 21

[3 marks]

Jack dances clockwise around the Maypole, making one revolution every 4 seconds. Starting from a point diametrically opposite Jack's starting point, Gill dances anticlockwise, making one revolution every 9 seconds.

JackGill
How many times do they pass each other in the first 90 seconds?