96 pounds sterling is shared between Amara and Fionn in the ratio 5:3. Work out how much each person receives.
(Total for Question 17 is 3 marks)
18
A club has 156 members. 3/13 of the members are juniors. Calculate how many members are juniors.
(Total for Question 18 is 2 marks)
19
A jacket costs 120 pounds sterling. In a sale its price is reduced by 35%. Work out the sale price.
(Total for Question 19 is 3 marks)
20
Solve 7x + 5 = 47.
(Total for Question 20 is 2 marks)
21
Work out 45% of 260.
(Total for Question 21 is 2 marks)
22
Write 7/8 as a decimal.
(Total for Question 22 is 1 mark)
23
Round 6.284 to 1 decimal place.
(Total for Question 23 is 1 mark)
24
Work out 150 - 7 x 11.
(Total for Question 24 is 2 marks)
25
A cinema sells tickets at 11 pounds sterling each. Calculate the total cost for 19 tickets.
(Total for Question 25 is 2 marks)
26
Priya buys 6 stickers at 35 pence each and a comic for 1.80 pounds sterling. She pays with a 5 pound note. Calculate how much change she receives.
(Total for Question 26 is 4 marks)
27
Work out the highest common factor of 36 and 60.
(Total for Question 27 is 2 marks)
28
Work out the lowest common multiple of 8 and 10.
(Total for Question 28 is 2 marks)
29
A recipe for 4 people needs 220 g of rice. Amelia wants to make the recipe for 7 people.
(a)Work out the amount of rice needed per person.(2)
(b)Work out the total amount of rice needed for 7 people.(2)
(Total for Question 29 is 4 marks)
30
Kofi has 9/25 of a box of 200 sweets. Calculate how many sweets Kofi has.
(Total for Question 30 is 2 marks)
31
Work out 2 3/4 + 3 5/8.
(Total for Question 31 is 2 marks)
32
Yusuf saves 8 pounds sterling each week. Calculate how much he saves in 15 weeks.
(Total for Question 32 is 2 marks)
33
Grace invests 600 pounds sterling in a savings account paying simple interest at 5% per annum. Calculate the total amount in her account after 3 years.
(Total for Question 33 is 4 marks)
34
Leon orders a bike priced at 180 pounds sterling. The shop offers 20% off for students. There is also a delivery charge of 4.50 pounds sterling, which is not discounted. Calculate the total amount Leon pays.
(Total for Question 34 is 4 marks)
35
Solve each equation.
(a)Solve 5y + 4 = 39.(2)
(b)Solve 8x - 6 = 4x + 18.(3)
(Total for Question 35 is 5 marks)
36
A fundraiser raises 720 pounds sterling from 3 stalls, shared in the ratio 3:4:5.
(a)Work out the largest of the three stalls' shares.(2)
(b)The organisers keep 15% of the total 720 pounds sterling for running costs, and the rest is given to charity. Calculate the amount given to charity.(3)
(Total for Question 36 is 5 marks)
37
By rounding each number to 1 significant figure, estimate the value of 62.7 x 4.9.
(Total for Question 37 is 2 marks)
38
A runner travels 30 km in 2.5 hours at a constant speed.
(a)Calculate the runner's average speed in km/h.(2)
(b)At this speed, calculate how far the runner would travel in 6 hours.(2)
(Total for Question 38 is 4 marks)
39
Zainab scored 54 out of 60 in a science test and 68 out of 80 in a geography test. By converting both scores to percentages, work out which test she scored more highly on.
(Total for Question 39 is 3 marks)
40
A shop reduces the price of a 75 pounds sterling jacket by 20% in a winter sale. It is then reduced by a further 10% of the new, already reduced, price in a clearance sale. Calculate the final price of the jacket.
(Total for Question 40 is 5 marks)
Mark scheme · CE.M39 Mental Arithmetic: Practice Set 9
Question 1
B1 115 cao
Answer: 115
Question 2
B1 55 cao
Answer: 55
Question 3
B1 72 cao
Answer: 72
Question 4
B1 12 cao
Answer: 12
Question 5
B1 49 cao
Answer: 49
Question 6
B1 14 cao
Answer: 14
Question 7
B1 8 cao
Answer: 8
Question 8
B1 -15 cao
Answer: -15
Question 9
B1 0.375 oe
Answer: 0.375
Question 10
B1 41 cao (correct order of operations)
Answer: 41
Question 11
B1 7/20 oe
Answer: 7/20
Question 12
M1 154 / 7 = 22 oe
A1 66 cao
Answer: 66
Question 13
M1 10% of 220 = 22 and 5% of 220 = 11, or equivalent valid method oe
A1 33 cao
Answer: £33
Question 14
M1 4 x 6 = 24 seen (correct order of operations)
A1 22 cao
Answer: 22
Question 15
M1 - (-6) = + 6 oe
A1 13 cao
Answer: 13
Question 16
(a) B1 36 cao
(a) Answer: 36
(b) B1 18 cao
(b) Answer: 18
(c) B1 32 cao
(c) Answer: 32
Question 17
M1 96 / 8 = 12 (value of one share) oe
A1 Amara receives 60 (pounds sterling) cao
A1 Fionn receives 36 (pounds sterling) cao
Answer: Amara: £60, Fionn: £36
Question 18
M1 156 / 13 = 12 oe
A1 36 cao
Answer: 36 members
Question 19
M1 10% of 120 = 12 oe
M1 12 x 3.5 = 42 (35% found), or equivalent valid method
A1 78 cao
Answer: £78
Question 20
M1 7x = 42 oe
A1 x = 6 cao
Answer: x = 6
Question 21
M1 10% of 260 = 26 and 5% of 260 = 13, or equivalent valid method oe
A1 117 cao
Answer: 117
Question 22
B1 0.875 oe
Answer: 0.875
Question 23
B1 6.3 cao
Answer: 6.3
Question 24
M1 7 x 11 = 77 seen (correct order of operations)
A1 73 cao
Answer: 73
Question 25
M1 11 x 19 oe
A1 209 cao
Answer: £209
Question 26
M1 6 x 0.35 = 2.10 oe
M1 2.10 + 1.80 = 3.90 (ft their 2.10)
M1 5 - 3.90 (ft their 3.90)
A1 1.10 cao
Answer: £1.10
Question 27
M1 factors of 36 and 60 listed or compared oe
A1 12 cao
Answer: 12
Question 28
M1 multiples of 8 and 10 listed or compared oe
A1 40 cao
Answer: 40
Question 29
(a) M1 220 / 4 oe
(a) A1 55 (g) cao
(a) Answer: 55 g
(b) M1 55 x 7 (ft their 55)
(b) A1 385 (g) cao
(b) Answer: 385 g
Question 30
M1 200 / 25 = 8 oe
A1 72 cao
Answer: 72 sweets
Question 31
M1 6/8 and 5/8 (common denominator used) oe
A1 6 3/8 cao
Answer: 6 3/8
Question 32
M1 8 x 15 oe
A1 120 cao
Answer: £120
Question 33
M1 5% of 600 = 30 oe
M1 30 x 3 = 90 (ft their 30)
M1 600 + 90 (ft their 90)
A1 690 cao
Answer: £690
Question 34
M1 180 / 5 = 36 (20% found) oe
M1 180 - 36 = 144 (ft their 36)
M1 144 + 4.50 (ft their 144)
A1 148.50 cao
Answer: £148.50
Question 35
(a) M1 5y = 35 oe
(a) A1 y = 7 cao
(a) Answer: y = 7
(b) M1 4x = 24 oe (correct collection of terms)
(b) M1 x = 24 / 4 (ft their 24)
(b) A1 x = 6 cao
(b) Answer: x = 6
Question 36
(a) M1 720 / 12 = 60 (value of one part) oe
(a) A1 300 cao
(a) Answer: £300
(b) M1 15% of 720 = 108 oe
(b) M1 720 - 108 (ft their 108)
(b) A1 612 cao
(b) Answer: £612
Question 37
M1 60 x 5 oe (correct rounding to 1 significant figure)
A1 300 cao
Answer: 300
Question 38
(a) M1 30 / 2.5 oe
(a) A1 12 (km/h) cao
(a) Answer: 12 km/h
(b) M1 12 x 6 (ft their speed from part a)
(b) A1 72 (km) cao
(b) Answer: 72 km
Question 39
M1 54 / 60 = 90% oe
M1 68 / 80 = 85% oe
A1 Science test, with both percentages correctly stated