Maths: Full Practice Paper (Core, Non-Calculator, Set 3) - Worksheets, Questions and Revision

25 original exam-style questions - 7 pages of questions with a full mark scheme - free printable PDF.

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CE.M25 Maths: Full Practice Paper (Core, Non-Calculator, Set 3)

ISEB COMMON ENTRANCE CE.M25 · Calculators not 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 NOT 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 third Core (Level 2) paper covers the same breadth as Papers 1 and 2: number, fractions/decimals/percentages, ratio, algebra, geometry, measures, coordinates, statistics and probability, with entirely different questions.
1
Write the number four hundred and seven thousand and sixteen in figures. (1 mark)
(Total for Question 1 is 1 mark)
2
Work out 7004 - 4867 (1 mark)
(Total for Question 2 is 1 mark)
3
Find 5/6 of 132 (1 mark)
(Total for Question 3 is 1 mark)
4
Two angles lie on a straight line. One angle is 127 degrees and the other is z degrees. Work out the size of angle z (1 mark)
(Total for Question 4 is 1 mark)
5
Simplify 9m + 2n - 4m + 5n (1 mark)
(Total for Question 5 is 1 mark)
6
At a ski resort in the Alps, the temperature at dawn was -7 degrees C. By midday it had risen by 19 degrees C. Work out the temperature at midday. (2 marks)
(Total for Question 6 is 2 marks)
7
Convert 11/20 to a percentage. (2 marks)
(Total for Question 7 is 2 marks)
8
Simplify the ratio 63:81 fully. (2 marks)
(Total for Question 8 is 2 marks)
9
Solve 6x - 11 = 37 (2 marks)
(Total for Question 9 is 2 marks)
10
A cuboid-shaped storage box has length 8 cm, width 5 cm and height 3 cm. Work out its volume. (2 marks)
(Total for Question 10 is 2 marks)
11
Aisha is making a fruit punch and needs 750 ml of orange juice. She has two cartons of orange juice, each containing 320 ml. Show working to decide whether she has enough orange juice, and if not, say how much more she needs. (2 marks)
(Total for Question 11 is 2 marks)
12
Point E has coordinates (4, 11) and point F has coordinates (12, 3). Find the coordinates of the midpoint of EF. (2 marks)
(Total for Question 12 is 2 marks)
13
In a fundraising bake sale, six form groups raised the following amounts of money in pounds: 42, 55, 38, 61, 47, 45. Work out the mean amount raised. (2 marks)
(Total for Question 13 is 2 marks)
14
A jar contains 7 blue sweets, 5 yellow sweets and 8 green sweets. Noah takes one sweet from the jar at random.
(a)Find the probability that it is yellow. (1 mark)(1)
(b)Find the probability that it is NOT green. (1 mark)(1)
(Total for Question 14 is 2 marks)
15
Write down all the factors of 66 that are also prime numbers. (2 marks)
(Total for Question 15 is 2 marks)
16
Expand and simplify 5(2x + 3) - 4(x - 2) (3 marks)
(Total for Question 16 is 3 marks)
17
In triangle DEF, angle D = 45 degrees, angle E = (4x + 9) degrees and angle F = 2x degrees.
(a)Form an equation in x and solve it. (2 marks)(2)
(b)Work out the size of angle F. (1 mark)(1)
(Total for Question 17 is 3 marks)
18
Grace and Idris share 108 stickers in the ratio 5:7. Work out how many stickers Idris receives. (3 marks)
(Total for Question 18 is 3 marks)
19
A bicycle costs 350 pounds. In a sale, the price is reduced by 12%. Work out the sale price. (3 marks)
(Total for Question 19 is 3 marks)
20
Mrs Patel's garden in Norwich is a rectangle measuring 15 m by 9 m. A rectangular pond measuring 4 m by 4 m has been dug in one corner of the garden (the pond is not lawn).
(a)Work out the area of the whole rectangular garden. (1 mark)(1)
(b)Work out the area of the pond. (1 mark)(1)
(c)Work out the area of the garden that is lawn (not pond). (2 marks)(2)
(Total for Question 20 is 4 marks)
21
A pie chart was used to show how 90 students travel to a summer fair. It shows that they go by Walking (angle 110 degrees), by Bus (angle 95 degrees), and by Cycling (angle 75 degrees). The rest go by Car.
(a)Work out the angle for the Car sector of the pie chart. (2 marks)(2)
(b)Work out how many of the 90 students go by Car. (2 marks)(2)
(Total for Question 21 is 4 marks)
22
Femi is x years old. His aunt Adaeze is 7 years older than four times Femi's age. The sum of their ages is 57.
(a)Write down an equation in x to represent this information. (1 mark)(1)
(b)Solve your equation to find Femi's age. (2 marks)(2)
(c)Find Adaeze's age. (1 mark)(1)
(Total for Question 22 is 4 marks)
23
A stationery shop sells notebooks for 65p each and rulers for 40p each. Simone buys 7 notebooks and 5 rulers, and pays with a 10 pound note.
(a)Work out the total cost of the notebooks. (1 mark)(1)
(b)Work out the total cost of the rulers. (1 mark)(1)
(c)Work out how much change Simone should receive from her 10 pound note. (3 marks)(3)
(Total for Question 23 is 5 marks)
24
A circular fountain base in a park in Bath has a diameter of 98 cm. Take π = 22/7.
(a)Work out the radius of the fountain base. (1 mark)(1)
(b)Work out the circumference of the fountain base. (2 marks)(2)
(c)A low rail needs to sit 15 cm out from the edge of the fountain base all the way round. Work out the diameter of the circle that the rail forms. (2 marks)(2)
(Total for Question 24 is 5 marks)
25
At a summer concert, a profit of 540 pounds is shared between the music department and the drama department in the ratio 4:5.
(a)Work out how much money the music department receives. (2 marks)(2)
(b)The music department then spends 30% of its share on new sheet music. Work out how much money is spent on sheet music. (2 marks)(2)
(c)Work out how much money the music department has left after this spending. (2 marks)(2)
(Total for Question 25 is 6 marks)
Mark scheme · CE.M25 Maths: Full Practice Paper (Core, Non-Calculator, Set 3)

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