Number and Calculation - Worksheets, Questions and Revision

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

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13+ · Mathematics

CE.M1 Number and Calculation

ISEB CE ISEB CE 13+ Mathematics · Calculator allowed · about 75 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Write these integers in order, starting with the smallest: -8, 3, -1, 0, -5
(Total for Question 1 is 1 mark)
2
Write 6407 to the nearest hundred.
(Total for Question 2 is 1 mark)
3
Ryan is investigating the number 24 and the number 36.
(a)List all the factors of 24.(1)
(b)Find the highest common factor (HCF) of 24 and 36.(1)
(Total for Question 3 is 2 marks)
4
Work out 3/4 + 1/8, giving your answer as a fraction in its simplest form.
(Total for Question 4 is 2 marks)
5
Calculate 15% of 260.
(Total for Question 5 is 2 marks)
6
Work out (-3) + (-7) - (-4).
(Total for Question 6 is 2 marks)
7
Calculate the value of 5 + 3 x (8 - 2) / 6, showing your method.
(Total for Question 7 is 3 marks)
8
Priya buys 3 notebooks at £2.45 each and a pen at £1.20. She pays with a £10 note. Work out how much change she receives.
(Total for Question 8 is 3 marks)
9
Express 84 as a product of its prime factors.
(Total for Question 9 is 3 marks)
10
A school trip costs £960 in total, shared between Year 8 and Year 9 in the ratio 5 : 3.
(a)Work out how much Year 8 pays and how much Year 9 pays.(2)
(b)A discount voucher reduces Year 9's share by 10%. Work out the new amount Year 9 pays.(2)
(Total for Question 10 is 4 marks)
11
Freya is estimating a calculation.
(a)Round 3.14159 to 3 significant figures.(1)
(b)By rounding each number to 1 significant figure, estimate the value of (198 x 5.2) / 9.8(2)
(Total for Question 11 is 3 marks)
12
A recipe for 6 people needs 450g of flour. Work out how much flour is needed to make the recipe for 9 people.
(Total for Question 12 is 3 marks)
13
Chidi is converting numbers between standard form and ordinary numbers.
(a)Write 0.0000523 in standard form.(2)
(b)Write 3.6 x 104 as an ordinary number.(1)
(Total for Question 13 is 3 marks)
14
Calculate the value of √169 + 52 - 33
(Total for Question 14 is 3 marks)
15
A shop increases the price of a jacket from £45 to £54. Work out the percentage increase.
(Total for Question 15 is 3 marks)
16
After a 20% discount, a bicycle costs £192. Work out the original price of the bicycle.
(Total for Question 16 is 3 marks)
17
Jamal invests £2000 at 4% per annum compound interest. Work out the total amount in his account after 3 years, giving your answer to the nearest penny.
(Total for Question 17 is 4 marks)
18
Two warning lights flash at regular intervals. One flashes every 18 seconds and the other every 24 seconds. Both flash together at exactly 09:00:00.
(a)Find the lowest common multiple (LCM) of 18 and 24.(2)
(b)Work out the time at which the two lights will next flash together.(2)
(Total for Question 18 is 4 marks)
19
A charity's total income is split between Bake Sale, Sponsored Walk and Raffle in the ratio 3 : 5 : 2. The Raffle raised £180 less than the Sponsored Walk.
(a)Find the value of one part of the ratio.(2)
(b)Find the total amount raised by all three activities.(2)
(c)What percentage of the total was raised by the Bake Sale?(1)
(Total for Question 19 is 5 marks)
20
Calculate the value of (7 - 2 x 5)2 + √32 + 42
(Total for Question 20 is 4 marks)
21
The distance from Earth to the Moon is approximately 3.84 x 105 km. A spacecraft travels at an average speed of 3200 km/h.
(a)Estimate the time taken for the journey, in hours, giving your answer to 3 significant figures.(3)
(b)Convert your answer to part (a) into days, giving your answer to 1 decimal place.(2)
(Total for Question 21 is 5 marks)
22
A cafe's weekly takings are shared between ingredients, wages and profit in the ratio 4 : 5 : 3. In one week the total takings were £2880.
(a)Work out the profit for that week.(2)
(b)The following week, takings increase by 12% but the ratio stays the same. Work out the new profit, giving your answer to the nearest penny.(3)
(Total for Question 22 is 5 marks)
Mark scheme · CE.M1 Number and Calculation

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