ABC Education · 11+ Practice

Week 47 · Maths Practice Paper

24 questions · 90 marks · Suggested time: 1 hour.

Question 1

[2 marks]

Work out 317 + 84 + 156

Question 2

[2 marks]

Work out 412 − 186

Question 3

[2 marks]

Work out 64 × 37

Question 4

[2 marks]

Work out 74.4 ÷ 8

Question 5

[2 marks]

Work out 56 of 726

Question 6

[2 marks]

Write the following in order of size, starting with the smallest:

3.4      3.42      3.04      3.402

Question 7

[2 marks]

Mia uses 650g of flour from a 2kg bag. How many kilograms of flour are left?

kg

Question 8

[6 marks]
(a)
Given that Priya eats 25 of a cake and her friend, Ravi, eats 14 of the cake, what fraction of the cake is left?
(b)
Given that Priya's piece of cake weighed 150 grams, what was the weight of the whole cake?

Question 9

[5 marks]

Look at the number pattern below: 1² + 3 = 4, 2² + 5 = 9, 3² + 7 = 16

(a)
Fill in the next two lines of the pattern.
(b)
Complete the following line which comes later in the pattern: ___² + ___ = 169

Question 10

[3 marks]

Write the following events in order, with the most probable (i.e. most likely) first and the least probable (i.e. least likely) last. Give your answer as a sequence of letters, e.g. BACED. A: Being born on a Tuesday; B: An asteroid hits the school tomorrow; C: Rolling a 5 with a fair die; D: Obtaining tails when a fair coin is tossed; E: Obtaining an odd number when two even numbers are multiplied together.

Question 11

[3 marks]

Rosa takes 42 minutes to travel to work each morning. She leaves home at 7.50 a.m.

(a)
What time does she arrive at work?
(b)
The journey home in the evening takes the same time. She arrives home at 6.15p.m. At what time did she leave work?

Question 12

[4 marks]

Curtain material costs £8.40 per metre.

(a)
How much will it cost to buy 12 metres?
(b)
Mrs Patel buys a length of material costing £21. How many metres does she buy?

Question 13

[2 marks]

The distance from Dover to Brussels is 280 km. 5 miles is approximately 8 kilometres. Calculate the approximate distance in miles from Dover to Brussels.

miles

Question 14

[3 marks]

Shortcrust pastry is made using flour and fat in the ratio 3:1. How many grams of flour are needed to make 1000 grams of shortcrust pastry?

grams

Question 15

[5 marks]

Cans are stacked so that each row has one more can than the row above it (row 1 has 1 can, row 2 has 2, and so on).

(a)
Find the total number of cans in the first 5 rows.
(b)
How many rows would be needed to display 45 cans?

Question 16

[3 marks]

Three bus services stop at my bus stop. Service A departs every 4 minutes, service B every 6 minutes and service C every 9 minutes. If all three services leave my stop at 9.30 a.m., at what time will they next leave my stop together?

Question 17

[8 marks]

A cube with sides 4cm is made from smaller cubes of side 1cm.

(a)
How many small cubes are used in making the bigger cube?
(b)
If the bigger cube is painted blue all over, how many small cubes will have three blue faces?
(c)
How many small cubes share a face with exactly 5 other small cubes?
(d)
How many small cubes share a face with exactly 2 other small cubes?

Question 18

[5 marks]

Four rectangles, each of length 24cm and width 9cm, are arranged to form a square shape (the pinwheel arrangement), with a smaller shaded square left empty in the middle.

(a)
Find the perimeter of this square shape.
(b)
Find the area of the shaded inner square.

Question 19

[5 marks]

A shape ABCD has vertices A(0,4), B(3,6), C(8,4) and D(3,2), joined in order.

A(0,4)B(3,6)C(8,4)D(3,2)
(a)
What name is given to this shape?
(b)
Find the coordinates of the point of intersection of the diagonals.
(c)
Calculate the area of ABCD.

Question 20

[3 marks]

My age is a multiple of 6. Next year it will be a multiple of 7. I am more than 20 years old, but less than 80. How old am I?

Question 21

[3 marks]

A piece of wire 36cm long is bent into the shape of a rectangle. If the rectangle is twice as long as it is wide, what is its area?

cm²

Question 22

[8 marks]

The graph below shows the times taken to walk around the school field by 5 pupils: Mia (12 minutes), Zack (20 minutes), Ravi (14 minutes), Bella (18 minutes) and Noah (16 minutes).

(a)
Find the difference in minutes between the slowest and fastest times.
(b)
Find the sum, in minutes, of the individual times.
(c)
Find the average time, in minutes, of the five times.
(d)
Mia walked at 5 km/h. How far is it around the school field?

Question 23

[7 marks]

Two numbers are 'clotted' by multiplying them together and then writing the answer backwards. For example, 6 and 7 are 'clotted' to give 24, because 6 × 7 = 42 and 42 written backwards is 24.

(a)
What is the result of 'clotting' 7 and 8?
(b)
With which number must 3 be 'clotted' to give 21?
(c)
Find two whole numbers which 'clot' to give 74.

Question 24

[3 marks]

Four circles W, X, Y and Z sit at the corners of a square. Along any line drawn between two circles, the numbers in the circles multiply to make the number in the square between them.

W=5XYZ352036?
X =, Y =, Z =, right edge =