ABC Education · 11+ Practice

Week 44 · Maths Practice Paper

28 questions · 58 marks · Suggested time: 45 minutes.

Question 1

[1 marks]

Work out 534 − 278

Question 2

[1 marks]

Work out 648 × 29

Question 3

[1 marks]

Work out 35% of 80

Question 4

[1 marks]

Work out 2340 ÷ 9

Question 5

[1 marks]

Work out 6.25 × 4

Question 6

[1 marks]

Work out 15 ÷ 1¼

Question 7

[1 marks]

What number goes in the box? 5/[box] of 40 = 25

Question 8

[1 marks]

What number goes in the box? 9.2 − [box] = 3.6

Question 9

[1 marks]

Subtract 25 from 5.65

Question 10

[1 marks]

What is the next number in this sequence? 20, 16, 12, 8, ...

Question 11

[1 marks]

8 cups of coffee cost £21.60. How much does one cup cost?

£

Question 12

[1 marks]

Work out √64 + 5²

Question 13

[1 marks]

9 apples cost £3.60. Find the cost of 7 apples.

£

Question 14

[1 marks]

What is 14 of 40% of 60?

Question 15

[1 marks]

The numbers 20, 22, 25 and x have a range of 9. Find two possible values for x.

Question 16

[2 marks]

You are given that 42 × 26 = 1092. Use this fact to work out

(a)
1092 ÷ 420
(b)
1092 ÷ 0.42

Question 17

[1 marks]

In a simple code, each letter of the alphabet is given a number (A=1, B=2, C=3, ... Z=26). Decode this message: 19-21-14

Question 18

[2 marks]

Anisha works in a shop. She is paid £8 an hour during the week and £10 an hour at weekends. She can get a lift with her mum to work during the week but has to go on the train if she works at the weekend. A return (there and back) train ticket costs £6.40. How much would Anisha take home if she works 7 hours during the week and 5 hours on Saturday?

£

Question 19

[2 marks]

ABC is a triangle with A(1,5) and B(-2,2), where AC = BC.

Give the coordinates of one possible point C on the y-axis (where x = 0).

Question 20

[2 marks]

A train stopped at a station. 55 people got off and 70 people got on. There were 350 people on the train when it left. How many were on the train before it stopped?

Question 21

[4 marks]

⊗ means square the first number and then add two times the second number: a ⊗ b = a² + 2b. For example: 4 ⊗ 3 = 16 + 6 = 22.

(a)
Find the value of 5 ⊗ 4
(b)
Find the value of ✱ if 7 ⊗ ✱ = 59
(c)
Find the value of ◆ if ◆ ⊗ 4 = 89

Question 22

[6 marks]

In the following subtraction, a, b, c and d are single digits. Work out what they are.

  d 6 4 a
-1 c 3 7
-------
 3 1 b 5
a =, b =, c =, d =

Question 23

[3 marks]

Pavanna and Naomi share some money in the ratio 3:7. Naomi divides her share between her friends Maria and Grace in the ratio 2:5. Maria receives £18. How much money was originally shared?

£

Question 24

[3 marks]

Each shape stands for a number. A row of four circles and one triangle has a total of 95. A column of two circles and one triangle has a total of 59. Find the value of one triangle and one circle.

circle =
triangle =

Question 25

[1 marks]

ABC is a straight line. Triangle BCD is isosceles with DB = DC. Angle DAB = 25°, where A lies on the straight line to the left of B. Angle ADB = 15°. Find the size of angle x, where x = angle DBC.

x =
°

Question 26

[6 marks]

Sana has four identical rectangles each measuring 10cm by 4cm. She joins them together to make a large square with a smaller square inside it (the classic pinwheel arrangement).

(a)
What is the perimeter of the larger square?
(b)
What is the area of the smaller (inner) square?
(c)
Zara uses a different set of four identical rectangles to make the same shape. The area of the large square is 196 cm² and the perimeter of the smaller square is 24 cm. What is the length and width of one rectangle?

Question 27

[5 marks]

In this question all the pentagons are identical, each with an area of 80cm². Two pentagons overlap to make 3 regions: A, B (the overlap) and C. For example, if the pentagons overlap by 10%, the total area (A+B+C) = pentagon(A+B) + 90% of pentagon(C) = 80 + 72 = 152cm².

(a)
If the pentagons overlap by 55%, find the total area.
(b)
If region C is equal to 50 cm², find the total area.
(c)
If the total area (A+B+C) is 120 cm², find the percentage overlap.

Question 28

[6 marks]

The land of Piponia has its own currency, using pips (p.), sols (s.) and liras (l.), with 1 sol = 6 pips and 1 lira = 12 sols. Work out the following, giving your answer in its simplest form.

(a)
1 candy costs 3 pips. How many candies could be bought for 4 sols?
(b)
Find the total cost of 3 l. 9 s. 5 p. and 2 l. 7 s. 4 p.
(c)
Subtract 1 l. 8 s. 4 p. from 4 l. 6 s. 2 p.