Maths: Full Practice Paper (Core, Calculator, Set 4) - 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.M32 Maths: Full Practice Paper (Core, Calculator, Set 4)

ISEB COMMON ENTRANCE CE.M32 · 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 fourth 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 three Core calculator papers (CE.M15, CE.M21 and CE.M28).
1
One evening in Deepa's garden in Cambridge, the temperature at 8 pm was 3 degrees C. Overnight it fell by a further 10 degrees C. Work out the temperature by morning. (1 mark)
(Total for Question 1 is 1 mark)
2
Work out 693 + 248. (1 mark)
(Total for Question 2 is 1 mark)
3
Work out 850 - 467. (1 mark)
(Total for Question 3 is 1 mark)
4
Write these numbers in order of size, smallest first: 0.6, 0.16, 0.61, 0.06 (2 marks)
(Total for Question 4 is 2 marks)
5
Work out 3/5 of 245. (2 marks)
(Total for Question 5 is 2 marks)
6
A bike helmet in a shop in Bath costs 45 pounds. In a sale it is reduced by 20%. Work out the amount of the discount. (2 marks)
(Total for Question 6 is 2 marks)
7
Meera and Ben share 208 pounds in the ratio 5:3. Work out how much money Ben receives. (3 marks)
(Total for Question 7 is 3 marks)
8
Simplify 8m + 2n - 3m + 5n. (2 marks)
(Total for Question 8 is 2 marks)
9
Solve these two equations.
(a)Solve 7x - 15 = 41. (2 marks)(2)
(b)Solve x/6 + 4 = 11. (2 marks)(2)
(Total for Question 9 is 4 marks)
10
Two angles of a triangle are 57 degrees and 88 degrees. Work out the size of the third angle. (2 marks)
(Total for Question 10 is 2 marks)
11
A rectangle has length 18 cm and width 5 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 9 cm, width 4 cm and height 2 cm. Work out its volume. (3 marks)
(Total for Question 12 is 3 marks)
13
Convert 7500 metres into kilometres. (2 marks)
(Total for Question 13 is 2 marks)
14
On 22/07/2026, a ferry leaves a port in Portsmouth at 06:52 and arrives at a French port at 09:15. 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 350 g jar of jam costs 2.10 pounds and a 900 g jar of the same jam costs 5.13 pounds. Work out which jar gives better value for money. Show your working. (2 marks)
(Total for Question 15 is 2 marks)
16
The number of text messages sent by a group of six friends during a car journey were: 12, 18, 9, 15, 21, 15. Work out the mean number of text messages. (3 marks)
(Total for Question 16 is 3 marks)
17
A jar contains 9 orange marbles, 6 purple marbles and 5 white marbles. One marble is picked at random. Work out the probability that it is white. (2 marks)
(Total for Question 17 is 2 marks)
18
Here are the first four terms of a sequence: 5, 12, 19, 26, ... Find the 10th term of the sequence. (2 marks)
(Total for Question 18 is 2 marks)
19
Point G has coordinates (1, 8) and point H has coordinates (11, 2). Work out the coordinates of the midpoint of GH. (2 marks)
(Total for Question 19 is 2 marks)
20
A games console originally costs 385 pounds. The price is first reduced by 20% in a sale, and then a further 9 pounds is taken off the sale price. Work out the final price of the games console. (3 marks)
(Total for Question 20 is 3 marks)
21
A swimmer named Niamh trains near Leicester.
(a)Niamh swims 3.6 km in 1.2 hours. Work out her average speed in km/h. (1 mark)(1)
(b)Niamh then swims for a further 30 minutes at the same average speed. Work out the extra distance she swims. (2 marks)(2)
(Total for Question 21 is 3 marks)
22
A market stall in Hull buys leather belts for 10 pounds each and sells them for 13 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
Harvey thinks of a number.
(a)He multiplies his number by 6, then subtracts 9. The result is 45. Write down an equation in h to represent this, where h is Harvey's number. (1 mark)(1)
(b)Solve your equation to find the value of h. (2 marks)(2)
(c)Harvey's friend Leah's number is 7 more than four times Harvey's number. Find Leah's number. (1 mark)(1)
(Total for Question 23 is 4 marks)
24
A patio belonging to Mrs Farrukh in Chester is made from two rectangles. The patio measures 11 m by 9 m overall, with a rectangular section measuring 3 m by 4 m removed from one corner for a shed base.
(a)Work out the area of the patio. (3 marks)(3)
(b)Paving costs 6.50 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 24 pupils, the mean mark in a history test was 55%. In a second class of 16 pupils, the mean mark was 70%. Work out the mean mark for all 40 pupils, giving your answer correct to 1 decimal place. (4 marks)
(Total for Question 25 is 4 marks)
Mark scheme · CE.M32 Maths: Full Practice Paper (Core, Calculator, Set 4)

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