Maths: Full Practice Paper (Core, Calculator, Set 5) - 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.M37 Maths: Full Practice Paper (Core, Calculator, Set 5)

ISEB COMMON ENTRANCE CE.M37 · 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 fifth 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 four Core calculator papers (CE.M15, CE.M21, CE.M28 and CE.M32).
1
One night in Grace's garden in Norwich, the temperature at 11 pm was -2 degrees C. Overnight it fell by a further 6 degrees C. Work out the temperature by morning. (1 mark)
(Total for Question 1 is 1 mark)
2
Work out 574 + 369. (1 mark)
(Total for Question 2 is 1 mark)
3
Work out 921 - 458. (1 mark)
(Total for Question 3 is 1 mark)
4
Write these numbers in order of size, smallest first: 0.4, 0.14, 0.41, 0.04 (2 marks)
(Total for Question 4 is 2 marks)
5
Work out 5/6 of 234. (2 marks)
(Total for Question 5 is 2 marks)
6
A pair of trainers in a shop in Swansea costs 68 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
Zara and Connor share 250 pounds in the ratio 7:3. Work out how much money Connor receives. (3 marks)
(Total for Question 7 is 3 marks)
8
Simplify 9x + 4y - 4x + 6y. (2 marks)
(Total for Question 8 is 2 marks)
9
Solve these two equations.
(a)Solve 8x - 11 = 45. (2 marks)(2)
(b)Solve x/5 + 3 = 9. (2 marks)(2)
(Total for Question 9 is 4 marks)
10
Two angles of a triangle are 55 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 16 cm and width 6 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 8 cm, width 3 cm and height 5 cm. Work out its volume. (3 marks)
(Total for Question 12 is 3 marks)
13
Convert 2650 grams into kilograms. (2 marks)
(Total for Question 13 is 2 marks)
14
On 24/07/2026, a coach leaves a school in Truro at 10:38 and arrives at a theme park 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 box of cereal costs 1.68 pounds and a 750 g box of the same cereal costs 3.90 pounds. Work out which box gives better value for money. Show your working. (2 marks)
(Total for Question 15 is 2 marks)
16
The number of emails received by an office during five working days were: 34, 28, 41, 25, 32. Work out the mean number of emails. (3 marks)
(Total for Question 16 is 3 marks)
17
A box contains 8 green pens, 5 orange pens and 3 purple pens. A pen is picked at random. Work out the probability that it is purple. (2 marks)
(Total for Question 17 is 2 marks)
18
Here are the first four terms of a sequence: 7, 13, 19, 25, ... Find the 12th term of the sequence. (2 marks)
(Total for Question 18 is 2 marks)
19
Point J has coordinates (3, 10) and point K has coordinates (13, 2). Work out the coordinates of the midpoint of JK. (2 marks)
(Total for Question 19 is 2 marks)
20
A television originally costs 450 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 television. (3 marks)
(Total for Question 20 is 3 marks)
21
A rower named Callum trains near Inverness.
(a)Callum rows 4.8 km in 1.6 hours. Work out his average speed in km/h. (1 mark)(1)
(b)Callum then rows for a further 45 minutes at the same average speed. Work out the extra distance he rows. (2 marks)(2)
(Total for Question 21 is 3 marks)
22
A market stall in Bangor buys wooden bowls for 12 pounds each and sells them for 15.60 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 25% for a clearance sale. Work out the sale price. (2 marks)(2)
(Total for Question 22 is 4 marks)
23
Amara thinks of a number.
(a)She multiplies her number by 5, then adds 8. The result is 63. Write down an equation in a to represent this, where a is Amara's number. (1 mark)(1)
(b)Solve your equation to find the value of a. (2 marks)(2)
(c)Amara's friend Theo's number is 6 less than three times Amara's number. Find Theo's number. (1 mark)(1)
(Total for Question 23 is 4 marks)
24
An L-shaped garden belonging to Mrs Grant in Dundee is made from two rectangles. The garden measures 13 m by 8 m overall, with a rectangular section measuring 5 m by 3 m removed from one corner for a patio.
(a)Work out the area of the garden. (3 marks)(3)
(b)Turf costs 4.80 pounds per square metre. Work out the cost of turfing the whole garden, giving your answer to the nearest 10 pounds. (1 mark)(1)
(Total for Question 24 is 4 marks)
25
In a class of 28 pupils, the mean mark in a geography test was 62%. In a second class of 22 pupils, the mean mark was 74%. 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.M37 Maths: Full Practice Paper (Core, Calculator, Set 5)

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