ABC Education · 11+ Practice

Week 59 · Maths Practice Paper

20 questions · 32 marks · Suggested time: 35 minutes.

Question 1

[1 marks]

What is the missing number: [ ] + 156 = 289

Question 2

[1 marks]

Calculate 42 × 3 × 6

Question 3

[1 marks]

What is the missing number? ___ / 20 = 1525

Question 4

[1 marks]

Six erasers cost £1.50. How much do 20 erasers cost?

Question 5

[1 marks]

Which is the smallest of these fractions: 56, 73, 49, 1115, 513?

Question 6

[1 marks]

Calculate 598 ÷ 23

Question 7

[1 marks]

How many of these fractions are strictly between 3.1 and 3.5? 3 + 18, 3 + 37, 3 + 59, 3 + 25

Question 8

[1 marks]

72 people go to the theatre. They pay £2.40 each. How much money is collected?

Question 9

[1 marks]

Find 437 × 34

Question 10

[1 marks]

Find 40% of 265

Question 11

[2 marks]

There are a number of coins on a table. Two-fifths show heads. If I turn over 3 coins (from tails to heads), then half show heads. How many coins are there altogether?

coins

Question 12

[2 marks]

If 4 mugs cost £3.20 and 6 pens cost £5.40, how much change do I get from £20 if I buy 9 mugs and 4 pens? You must show your working.

£

Question 13

[2 marks]

There are 28 gifts stacked up into four piles. The first pile has 4 less than the second pile. The second pile has three more than the third pile. The fourth pile has twice as many as the second pile. How many gifts are in each pile?

Question 14

[3 marks]

In Mathsland, currency is arranged in Deltas, Epsilons and Zetas where 1 Delta = 15 Epsilons and 1 Epsilon = 4 Zetas.

(a)
How many Zetas in 4 Deltas, 5 Epsilons and 2 Zetas?
(b)
Using as many Deltas as you can, then Epsilons, then Zetas, how would you pay for something that costs 530 Zetas?

Question 15

[2 marks]

If the following statements are true, how many Ωs are there in a ψ? Ω + Ω = Φ Φ + Φ + Ω = Λ Λ + Φ = ψ

Ω

Question 16

[2 marks]

A box of sweets contains 40 sweets. 24 have wrappers. 18 are strawberry sweets with wrappers. If 10 are not strawberry and do not have a wrapper, how many strawberry sweets are there?

Question 17

[2 marks]

An L-shaped piece of card is made by removing a rectangular corner from a larger rectangle. The larger rectangle measures 24 cm by 16 cm. The rectangle removed from one corner measures 9 cm by 7 cm. What is the perimeter of the remaining L-shape?

cm

Question 18

[2 marks]

A rectangle is divided into four smaller rectangles by one horizontal and one vertical line. The top-left rectangle has area 18 cm² and width 6 cm. The top-right rectangle has area 30 cm². The bottom-left rectangle has area 15 cm². What is the area of the bottom-right rectangle?

cm²

Question 19

[2 marks]

In this number tower, the value in each block is the sum of the two below it. The bottom row is: 15, 20, 18, 9, 14. What is the value of the block at the top?

Question 20

[3 marks]

Priya passes 50 electricity poles along the straight road from home to school. The distance between every 2 poles is 25 metres. Her home is exactly halfway between 2 poles, and her school is also exactly halfway between 2 poles.

(a)
Find the distance from her home to her school, in km.
(b)
If she walks at an average speed of 5 km/h, how long does it take her to get to school from home?