Maths: Full Practice Paper (Core, Calculator, Set 7) - Worksheets, Questions and Revision

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

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CE.M44 Maths: Full Practice Paper (Core, Calculator, Set 7)

ISEB COMMON ENTRANCE CE.M44 · Calculator allowed · about 60 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Time allowed: 60 minutes. Answer ALL 25 questions. Write your answers in the spaces provided. You ARE allowed to use a calculator. You must show all your working; marks are available for a correct method as well as for the final answer. The number of marks for each question, or part-question, is shown in brackets. This seventh Core (Level 2) calculator paper covers the whole Core syllabus: number, fractions/decimals/percentages, ratio, algebra, geometry, measures, coordinates, statistics and probability, using different questions from the first six Core calculator papers (CE.M15, CE.M21, CE.M28, CE.M32, CE.M37 and CE.M42).
1
One evening in Inverness, the temperature was 5 degrees C. Overnight it fell by 9 degrees C. Work out the temperature by morning. (1 mark)
(Total for Question 1 is 1 mark)
2
Work out 725 + 468. (1 mark)
(Total for Question 2 is 1 mark)
3
Work out 902 - 458. (1 mark)
(Total for Question 3 is 1 mark)
4
Write these numbers in order of size, smallest first: 0.7, 0.17, 0.71, 0.07 (2 marks)
(Total for Question 4 is 2 marks)
5
Work out 5/9 of 198. (2 marks)
(Total for Question 5 is 2 marks)
6
A pair of headphones in a shop in Leeds costs 96 pounds. In a sale it is reduced by 25%. Work out the amount of the discount. (2 marks)
(Total for Question 6 is 2 marks)
7
Chidi and Grace share 280 pounds in the ratio 3:4. Work out how much money Grace receives. (3 marks)
(Total for Question 7 is 3 marks)
8
Simplify 6a + 7b - 2a + 9b. (2 marks)
(Total for Question 8 is 2 marks)
9
Solve these two equations.
(a)Solve 8x - 13 = 43. (2 marks)(2)
(b)Solve x/5 + 6 = 13. (2 marks)(2)
(Total for Question 9 is 4 marks)
10
Two angles of a triangle are 58 degrees and 71 degrees. Work out the size of the third angle. (2 marks)
(Total for Question 10 is 2 marks)
11
A rectangle has length 21 cm and width 8 cm.
(a)Work out the area of the rectangle. (1 mark)(1)
(b)Work out the perimeter of the rectangle. (2 marks)(2)
(Total for Question 11 is 3 marks)
12
A cuboid has length 7 cm, width 5 cm and height 8 cm. Work out its volume. (3 marks)
(Total for Question 12 is 3 marks)
13
Convert 4830 grams into kilograms. (2 marks)
(Total for Question 13 is 2 marks)
14
On 24/07/2026, a train leaves a station in Bristol at 10:47 and arrives in London at 13:05. Work out how long the journey took. Give your answer in hours and minutes. (3 marks)
(Total for Question 14 is 3 marks)
15
A 300 g bag of rice costs 1.35 pounds and a 750 g bag of the same rice costs 3.15 pounds. Work out which bag gives better value for money. Show your working. (2 marks)
(Total for Question 15 is 2 marks)
16
The number of texts sent by a class over five days were: 52, 41, 36, 58, 33. Work out the mean number of texts. (3 marks)
(Total for Question 16 is 3 marks)
17
A box contains 8 red counters, 5 blue counters and 7 green counters. A counter is picked at random. Work out the probability that it is blue. (2 marks)
(Total for Question 17 is 2 marks)
18
Here are the first four terms of a sequence: 4, 10, 16, 22, ... Find the 18th term of the sequence. (2 marks)
(Total for Question 18 is 2 marks)
19
Point A has coordinates (6, 13) and point B has coordinates (18, 5). Work out the coordinates of the midpoint of AB. (2 marks)
(Total for Question 19 is 2 marks)
20
A laptop originally costs 540 pounds. The price is first reduced by 20% in a sale, and then a further 15 pounds is taken off the sale price. Work out the final price of the laptop. (3 marks)
(Total for Question 20 is 3 marks)
21
A cyclist named Idris trains near Bristol.
(a)Idris cycles 6.3 km in 1.4 hours. Work out his average speed in km/h. (1 mark)(1)
(b)Idris then cycles for a further 40 minutes at the same average speed. Work out the extra distance he cycles. (2 marks)(2)
(Total for Question 21 is 3 marks)
22
A market stall in Norwich buys mugs for 6 pounds each and sells them for 8.70 pounds each.
(a)Work out the stall's profit as a percentage of the price they paid. (2 marks)(2)
(b)The stall then reduces the selling price by 20% for a clearance sale. Work out the sale price. (2 marks)(2)
(Total for Question 22 is 4 marks)
23
Karim thinks of a number.
(a)He multiplies his number by 5, then adds 7. The result is 82. Write down an equation in k to represent this, where k is Karim's number. (1 mark)(1)
(b)Solve your equation to find the value of k. (2 marks)(2)
(c)Karim's friend's number is 4 less than twice Karim's number. Find the friend's number. (1 mark)(1)
(Total for Question 23 is 4 marks)
24
An L-shaped patio belonging to a house near Norwich is made from two rectangles. The patio measures 16 m by 10 m overall, with a rectangular section measuring 5 m by 4 m removed from one corner for a garden shed.
(a)Work out the area of the patio. (3 marks)(3)
(b)Paving costs 7.50 pounds per square metre. Work out the cost of paving the whole patio, giving your answer to the nearest 10 pounds. (1 mark)(1)
(Total for Question 24 is 4 marks)
25
In a class of 22 pupils, the mean mark in a science test was 62%. In a second class of 28 pupils, the mean mark was 75%. Work out the mean mark for all 50 pupils, giving your answer correct to 1 decimal place. (4 marks)
(Total for Question 25 is 4 marks)
Mark scheme · CE.M44 Maths: Full Practice Paper (Core, Calculator, Set 7)

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