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)
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
B1 620030 cao
Answer: 620030
Question 2
B1 1156 cao
Answer: 1156
Question 3
B1 36 cao
Answer: 36
Question 4
B1 125 (degrees) cao
Answer: 125 degrees
Question 5
B1 4p + 5q cao
Answer: 4p + 5q
Question 6
M1 -6 + 14 (correct method)
A1 8 (degrees C) cao
Answer: 8 degrees C
Question 7
M1 9/25 = 36/100 or equivalent complete method
A1 36% cao
Answer: 36%
Question 8
M1 divides both parts by a common factor (e.g. by 2, by 6, by 9 or by 18)
A1 3:4 cao (fully simplified)
Answer: 3:4
Question 9
M1 5x = 35 (adds 9 to both sides)
A1 x = 7 cao
Answer: x = 7
Question 10
M1 16 x 9 or equivalent complete method
A1 144 cm2 cao
Answer: 144 cm2
Question 11
M1 2 x 380 = 760 g
A1 No, she does not have enough; she is 140 g short
Answer: No, she is 140 g short of the rice she needs
Question 12
M1 ((3+11)/2 , (10+2)/2) or equivalent complete method
A1 (7, 6) cao
Answer: (7, 6)
Question 13
M1 8+12+6+10+15+9 (= 60)
A1 10 (km) cao
Answer: 10 km
Question 14
(a) B1 4/15 oe cao
(a) Answer: 4/15
(b) B1 2/3 oe cao
(b) Answer: 2/3
Question 15
M1 a correct list, or attempt at a list, of the factors of 90
A1 2, 3, 5 (all three, no extras) cao
Answer: 2, 3, 5
Question 16
M1 12x + 8 (correct first expansion)
M1 -3x + 15 (correct second expansion, signs handled correctly)
A1 9x + 23 cao
Answer: 9x + 23
Question 17
(a) M1 54 + (2x+6) + 3x = 180 oe
(a) A1 x = 24 cao
(a) Answer: x = 24
(b) B1 72 (degrees), follow through 3 x their x
(b) Answer: 72 degrees
Question 18
M1 identifies 13 total parts (4 + 9)
M1 91 / 13 (= 7), the value of one part
A1 63 (marbles) cao
Answer: 63 marbles
Question 19
M1 finds 20% of 480 (e.g. 10% = 48, so 20% = 96)
M1 480 - 96 (subtracts the discount from the original price)
A1 384 pounds cao
Answer: 384 pounds
Question 20
(a) B1 140 m2 cao
(a) Answer: 140 m2
(b) B1 12 m2 cao
(b) Answer: 12 m2
(c) M1 140 - 12 (follow through their (a) and (b))
(c) A1 128 m2 cao
(c) Answer: 128 m2
Question 21
(a) M1 360 - (120 + 100 + 80)
(a) A1 60 (degrees) cao
(a) Answer: 60 degrees
(b) M1 (their (a) / 360) x 72
(b) A1 12 (students) cao
(b) Answer: 12 students
Question 22
(a) B1 x + (3x + 5) = 65 oe
(a) Answer: x + (3x + 5) = 65
(b) M1 4x + 5 = 65 leading to 4x = 60
(b) A1 x = 15 cao
(b) Answer: 15 years old
(c) B1 50 (follow through 3 x their x + 5)
(c) Answer: 50 years old
Question 23
(a) B1 2.80 pounds (280p) cao
(a) Answer: 2.80 pounds
(b) B1 2.20 pounds (220p) cao
(b) Answer: 2.20 pounds
(c) M1 2.80 + 2.20 (follow through their (a) and (b)), the total cost
(c) M1 10.00 - their total cost
(c) A1 5.00 pounds cao
(c) Answer: 5.00 pounds
Question 24
(a) B1 42 cm cao
(a) Answer: 42 cm
(b) M1 22/7 x 84 (or 2 x 22/7 x 42)
(b) A1 264 cm cao
(b) Answer: 264 cm
(c) M1 84 + 2 x 10 (adds the overhang to both sides of the diameter)
(c) A1 104 cm cao
(c) Answer: 104 cm
Question 25
(a) M1 660 / 11 (= 60), the value of one part (11 total parts)