Mental Arithmetic - Worksheets, Questions and Revision

20 original exam-style questions - 6 pages of questions with a full mark scheme - free printable PDF.

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13+ · Mathematics

CE.M7 Mental Arithmetic

ISEB CE CE.M7 · Calculator allowed · about 60 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Calculate 34 + 58.
(Total for Question 1 is 1 mark)
2
Calculate 96 - 39.
(Total for Question 2 is 1 mark)
3
Work out 7 x 8.
(Total for Question 3 is 1 mark)
4
Work out 144 / 12.
(Total for Question 4 is 1 mark)
5
Write each of the following in the form asked.
(a)Write 3/8 as a decimal.(1)
(b)Write 0.35 as a fraction in its simplest form.(1)
(Total for Question 5 is 2 marks)
6
Find 15% of 60 pounds sterling.
(Total for Question 6 is 2 marks)
7
Work out 6 + 3 x 4 - 5.
(Total for Question 7 is 2 marks)
8
Work out -8 + 15 - (-6).
(Total for Question 8 is 2 marks)
9
96 pounds sterling is shared between Ffion and Max in the ratio 5:3. Work out how much each person receives.
(Total for Question 9 is 3 marks)
10
A school has 420 pupils. 2/7 of the pupils walk to school. Calculate how many pupils walk to school.
(Total for Question 10 is 3 marks)
11
A washing machine costs 250 pounds sterling. In a sale its price is reduced by 12%. Work out the sale price.
(Total for Question 11 is 3 marks)
12
Work out the value of each of the following.
(a)92(1)
(b)√196(1)
(c)53(1)
(Total for Question 12 is 3 marks)
13
Priya buys 3 notebooks at 2.45 pounds sterling each and a pen for 1.20 pounds sterling. She pays with a 10 pound note. Calculate how much change she receives.
(Total for Question 13 is 4 marks)
14
A train travels 180 km in 2.5 hours at a constant speed.
(a)Calculate the train's average speed in km/h.(2)
(b)At this speed, calculate how far the train would travel in 4 hours.(2)
(Total for Question 14 is 4 marks)
15
Tom invests 800 pounds sterling in a savings account paying simple interest at 3.5% per annum. Calculate the total amount in his account after 3 years.
(Total for Question 15 is 4 marks)
16
A recipe for 6 people needs 450 g of flour. Aisha wants to make the recipe for 9 people.
(a)Work out the amount of flour needed per person.(2)
(b)Work out the total amount of flour needed for 9 people.(2)
(Total for Question 16 is 4 marks)
17
Ben orders a games console priced at 240 pounds sterling. The shop offers 15% off for early payment. There is also a delivery charge of 6.99 pounds sterling, which is not discounted. Calculate the total amount Ben pays.
(Total for Question 17 is 5 marks)
18
Solve each equation.
(a)Solve 3x + 7 = 40.(2)
(b)Solve 5y - 12 = 2y + 9.(3)
(Total for Question 18 is 5 marks)
19
A charity fun run raises 900 pounds sterling from 3 sponsors, shared in the ratio 4:5:6.
(a)Work out the largest of the three sponsors' shares.(2)
(b)The organisers keep 8% of the total 900 pounds sterling for admin costs, and the rest is given to charity. Calculate the amount given to charity.(3)
(Total for Question 19 is 5 marks)
20
38.7 x 21.4 / 4.9
(a)By rounding each number to 1 significant figure, estimate the value of 38.7 x 21.4 / 4.9.(2)
(b)Calculate the exact value of 38.7 x 21.4 / 4.9, giving your answer to 2 decimal places.(2)
(Total for Question 20 is 4 marks)
Mark scheme · CE.M7 Mental Arithmetic

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