Maths: Full Practice Paper (Core, Non-Calculator, Set 2) - 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.M19 Maths: Full Practice Paper (Core, Non-Calculator, Set 2)

ISEB COMMON ENTRANCE CE.M19 · 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 second Core (Level 2) paper covers the same breadth as Paper 1: number, fractions/decimals/percentages, ratio, algebra, geometry, measures, coordinates, statistics and probability, with entirely different questions.
1
Write the number six hundred and twenty thousand and thirty in figures. (1 mark)
(Total for Question 1 is 1 mark)
2
Work out 5002 - 3846 (1 mark)
(Total for Question 2 is 1 mark)
3
Find 3/8 of 96 (1 mark)
(Total for Question 3 is 1 mark)
4
Three angles meet at a point. They are 95 degrees, 140 degrees and y degrees. Work out the size of angle y (1 mark)
(Total for Question 4 is 1 mark)
5
Simplify 7p + 4q - 3p + q (1 mark)
(Total for Question 5 is 1 mark)
6
A thermometer reads -6 degrees C at 7am. By 1pm the temperature has risen by 14 degrees C. Work out the temperature at 1pm. (2 marks)
(Total for Question 6 is 2 marks)
7
Convert 9/25 to a percentage. (2 marks)
(Total for Question 7 is 2 marks)
8
Simplify the ratio 54:72 fully. (2 marks)
(Total for Question 8 is 2 marks)
9
Solve 5x - 9 = 26 (2 marks)
(Total for Question 9 is 2 marks)
10
A parallelogram has a base of 16 cm and a perpendicular height of 9 cm. Work out its area. (2 marks)
(Total for Question 10 is 2 marks)
11
Mrs Okafor needs 900 g of rice for a recipe. She has two bags of rice, each weighing 380 g. Show working to decide whether she has enough rice, and if not, say how much more she needs. (2 marks)
(Total for Question 11 is 2 marks)
12
Point C has coordinates (3, 10) and point D has coordinates (11, 2). Find the coordinates of the midpoint of CD. (2 marks)
(Total for Question 12 is 2 marks)
13
In a sponsored walk, six pupils walked the following distances in km: Freddie walked 8, Aaliyah walked 12, Ibrahim walked 6, Nia walked 10, Callum walked 15, and Zainab walked 9. Work out the mean distance walked. (2 marks)
(Total for Question 13 is 2 marks)
14
A box contains 6 milk chocolates, 4 dark chocolates and 5 white chocolates. Tariq takes one chocolate from the box at random.
(a)Find the probability that it is a dark chocolate. (1 mark)(1)
(b)Find the probability that it is NOT white. (1 mark)(1)
(Total for Question 14 is 2 marks)
15
Write down all the factors of 90 that are also prime numbers. (2 marks)
(Total for Question 15 is 2 marks)
16
Expand and simplify 4(3x + 2) - 3(x - 5) (3 marks)
(Total for Question 16 is 3 marks)
17
In triangle PQR, angle P = 54 degrees, angle Q = (2x + 6) degrees and angle R = 3x degrees.
(a)Form an equation in x and solve it. (2 marks)(2)
(b)Work out the size of angle R. (1 mark)(1)
(Total for Question 17 is 3 marks)
18
Hassan and Leila share 91 marbles in the ratio 4:9. Work out how many marbles Leila receives. (3 marks)
(Total for Question 18 is 3 marks)
19
A laptop costs 480 pounds. In a sale, the price is reduced by 20%. Work out the sale price. (3 marks)
(Total for Question 19 is 3 marks)
20
Mr Adeyemi's allotment in Leicester is a rectangle measuring 14 m by 10 m. A rectangular shed measuring 4 m by 3 m has been built in one corner of the allotment (the shed is not growing space).
(a)Work out the area of the whole rectangular allotment. (1 mark)(1)
(b)Work out the area of the shed. (1 mark)(1)
(c)Work out the area of the allotment that is growing space (not shed). (2 marks)(2)
(Total for Question 20 is 4 marks)
21
A pie chart was used to show how 72 students travel to an after-school club. It shows that they go by Walking (angle 120 degrees), by Car (angle 100 degrees), and by Cycling (angle 80 degrees). The rest go by Minibus.
(a)Work out the angle for the Minibus sector of the pie chart. (2 marks)(2)
(b)Work out how many of the 72 students go by Minibus. (2 marks)(2)
(Total for Question 21 is 4 marks)
22
Ndidi is x years old. Her uncle Femi is 5 years older than three times Ndidi's age. The sum of their ages is 65.
(a)Write down an equation in x to represent this information. (1 mark)(1)
(b)Solve your equation to find Ndidi's age. (2 marks)(2)
(c)Find Femi's age. (1 mark)(1)
(Total for Question 22 is 4 marks)
23
A market stall sells apples for 35p each and oranges for 55p each. Grace buys 8 apples and 4 oranges, and pays with a 10 pound note.
(a)Work out the total cost of the apples. (1 mark)(1)
(b)Work out the total cost of the oranges. (1 mark)(1)
(c)Work out how much change Grace should receive from her 10 pound note. (3 marks)(3)
(Total for Question 23 is 5 marks)
24
A circular flowerbed in a park in Chester has a diameter of 84 cm. Take π = 22/7.
(a)Work out the radius of the flowerbed. (1 mark)(1)
(b)Work out the circumference of the flowerbed. (2 marks)(2)
(c)A low fence needs to sit 10 cm out from the edge of the flowerbed all the way round. Work out the diameter of the circle that the fence forms. (2 marks)(2)
(Total for Question 24 is 5 marks)
25
At a summer fair, a profit of 660 pounds is shared between the school library fund and the sports club in the ratio 2:9.
(a)Work out how much money the library fund receives. (2 marks)(2)
(b)The library fund then spends 40% of its share on new books. Work out how much money is spent on new books. (2 marks)(2)
(c)Work out how much money the library fund has left after this spending. (2 marks)(2)
(Total for Question 25 is 6 marks)
Mark scheme · CE.M19 Maths: Full Practice Paper (Core, Non-Calculator, Set 2)

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