Mental Arithmetic: Practice Set 3 - Worksheets, Questions and Revision

40 original exam-style questions - 8 pages of questions with a full mark scheme - free printable PDF.

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CE.M16 Mental Arithmetic: Practice Set 3

ISEB COMMON ENTRANCE CE.M16 · Calculators not allowed · about 60 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Calculate 47 + 36.
(Total for Question 1 is 1 mark)
2
Calculate 82 - 29.
(Total for Question 2 is 1 mark)
3
Work out 9 x 7.
(Total for Question 3 is 1 mark)
4
Work out 182 / 13.
(Total for Question 4 is 1 mark)
5
Work out 82.
(Total for Question 5 is 1 mark)
6
Work out √169.
(Total for Question 6 is 1 mark)
7
Work out -11 + 18.
(Total for Question 7 is 1 mark)
8
Work out 15 - 24.
(Total for Question 8 is 1 mark)
9
Write 4/5 as a decimal.
(Total for Question 9 is 1 mark)
10
Work out 6 x 7 - 9.
(Total for Question 10 is 1 mark)
11
Write 0.65 as a fraction in its simplest form.
(Total for Question 11 is 1 mark)
12
Work out 5/6 of 108.
(Total for Question 12 is 2 marks)
13
Find 25% of 68 pounds sterling.
(Total for Question 13 is 2 marks)
14
Work out 8 + 5 x 3 - 7.
(Total for Question 14 is 2 marks)
15
Work out -6 + 13 - (-8).
(Total for Question 15 is 2 marks)
16
Work out the value of each of the following.
(a)42(1)
(b)√225(1)
(c)33(1)
(Total for Question 16 is 3 marks)
17
88 pounds sterling is shared between Mei-Ling and Ravi in the ratio 3:5. Work out how much each person receives.
(Total for Question 17 is 3 marks)
18
A choir has 132 members. 5/12 of the members are altos. Calculate how many members are altos.
(Total for Question 18 is 2 marks)
19
A keyboard costs 90 pounds sterling. In a sale its price is reduced by 30%. Work out the sale price.
(Total for Question 19 is 3 marks)
20
Solve 6x + 4 = 40.
(Total for Question 20 is 2 marks)
21
Work out 35% of 220.
(Total for Question 21 is 2 marks)
22
Write 5/8 as a decimal.
(Total for Question 22 is 1 mark)
23
Round 4.176 to 1 decimal place.
(Total for Question 23 is 1 mark)
24
Work out 130 - 8 x 9.
(Total for Question 24 is 2 marks)
25
A theatre sells tickets at 14 pounds sterling each. Calculate the total cost for 17 tickets.
(Total for Question 25 is 2 marks)
26
Declan buys 5 postcards at 45 pence each and a magazine for 2.30 pounds sterling. He pays with a 10 pound note. Calculate how much change he receives.
(Total for Question 26 is 4 marks)
27
Work out the highest common factor of 42 and 56.
(Total for Question 27 is 2 marks)
28
Work out the lowest common multiple of 9 and 12.
(Total for Question 28 is 2 marks)
29
A recipe for 5 people needs 275 g of pasta. Nadia wants to make the recipe for 8 people.
(a)Work out the amount of pasta needed per person.(2)
(b)Work out the total amount of pasta needed for 8 people.(2)
(Total for Question 29 is 4 marks)
30
Osei has 7/20 of a box of 180 marbles. Calculate how many marbles Osei has.
(Total for Question 30 is 2 marks)
31
Work out 3 1/3 + 2 5/6.
(Total for Question 31 is 2 marks)
32
Siobhan saves 9 pounds sterling each week. Calculate how much she saves in 12 weeks.
(Total for Question 32 is 2 marks)
33
Tariq invests 750 pounds sterling in a savings account paying simple interest at 6% per annum. Calculate the total amount in his account after 2 years.
(Total for Question 33 is 4 marks)
34
Poppy orders a coat priced at 130 pounds sterling. The shop offers 25% off for signing up to the newsletter. There is also a delivery charge of 4.50 pounds sterling, which is not discounted. Calculate the total amount Poppy pays.
(Total for Question 34 is 4 marks)
35
Solve each equation.
(a)Solve 4y + 3 = 27.(2)
(b)Solve 7x - 8 = 3x + 20.(3)
(Total for Question 35 is 5 marks)
36
A charity quiz night raises 630 pounds sterling from 3 teams, shared in the ratio 2:3:4.
(a)Work out the largest of the three teams' shares.(2)
(b)The organisers keep 10% of the total 630 pounds sterling for hall hire costs, and the rest is given to charity. Calculate the amount given to charity.(3)
(Total for Question 36 is 5 marks)
37
By rounding each number to 1 significant figure, estimate the value of 78.4 x 5.1.
(Total for Question 37 is 2 marks)
38
A cyclist travels 84 km in 3.5 hours at a constant speed.
(a)Calculate the cyclist's average speed in km/h.(2)
(b)At this speed, calculate how far the cyclist would travel in 5 hours.(2)
(Total for Question 38 is 4 marks)
39
Isla scored 57 out of 75 in a maths test and 42 out of 60 in a French test. By converting both scores to percentages, work out which test she scored more highly on.
(Total for Question 39 is 3 marks)
40
A shop reduces the price of a 60 pounds sterling coat by 20% in a spring sale. It is then reduced by a further 15% of the new, already reduced, price in a clearance sale. Calculate the final price of the coat.
(Total for Question 40 is 5 marks)
Mark scheme · CE.M16 Mental Arithmetic: Practice Set 3

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40