ABC Education

ABC Education · 11+ Practice

Week 42 · Maths Practice Paper

9 questions · 45 marks · Suggested time: 35 minutes.

Question 1

[6 marks]

Calculate the following:

(a)
94 + 158
(b)
413 − 186
(c)
62 × 140
(d)
972 ÷ 12
(e)
2.45 + 7.38
(f)
136.5 + 4.62 − 129.375

Question 2

[3 marks]
(a)
Calculate: 9 − (−12)
(b)
Calculate: 4 × (−7)
(c)
Calculate: 90 ÷ (5 + 4) × 3

Question 3

[3 marks]

Find the value of the question mark:

(a)
34 = ?/20
(b)
316 = 5 ?/6
(c)
1824 = 6/?

Question 4

[8 marks]
(a)
Which is larger: 58 or 35?
(b)
Calculate: 34 + 38
(c)
Calculate: 15 × 56 × 67
(d)
A vegetable patch is used to grow three vegetables: onions, peppers, and tomatoes. The onions make up 14 of the patch, and peppers make up 25 of the patch. What fraction of the vegetable patch is used for tomatoes?

Question 5

[4 marks]
(a)
Find: 40% of 60
(b)
Find: 45% of 120

Question 6

[4 marks]
(a)
Write down the first five multiples of 4.
(b)
Write down the factors of 18.

Question 7

[10 marks]

Find the missing values:

(a)
x + 15 = 52
(b)
19 − x = 7
(c)
4x + 7 = 27
(d)
Dan has some marbles. Eli has three times as many marbles as Dan. Finn has 10 more marbles than Dan. In total, they have 90 marbles. How many marbles does Finn have?

Question 8

[4 marks]

A rectangle is divided into a grid of identical squares — 5 squares across and 3 squares down. The rectangle's width is 20cm, as shown.

20 cm
(a)
Find the perimeter of the whole rectangle.
(b)
In a separate step-shaped pattern, one rectangle has a width of 5cm and an area of 40cm². What is its height?

Question 9

[3 marks]

How many squares are there on an 8×8 chessboard? There are more than 64!