132 pounds sterling is shared between Priya and Tomasz in the ratio 4:7. Work out how much each person receives.
(Total for Question 17 is 3 marks)
18
A school hall has 340 chairs. 2/5 of the chairs are reserved for parents. Calculate how many chairs are reserved.
(Total for Question 18 is 2 marks)
19
A jacket costs 84 pounds sterling. In a sale its price is reduced by 25%. Work out the sale price.
(Total for Question 19 is 3 marks)
20
Solve 7x + 4 = 39.
(Total for Question 20 is 2 marks)
21
Work out 55% of 180.
(Total for Question 21 is 2 marks)
22
Write 3/8 as a decimal.
(Total for Question 22 is 1 mark)
23
Round 5.923 to 1 decimal place.
(Total for Question 23 is 1 mark)
24
Work out 210 - 6 x 9.
(Total for Question 24 is 2 marks)
25
A theatre sells tickets at 14 pounds sterling each. Calculate the total cost for 13 tickets.
(Total for Question 25 is 2 marks)
26
Leon buys 4 pens at 45 pence each and a ruler for 2.30 pounds sterling. He pays with a 10 pound note. Calculate how much change he receives.
(Total for Question 26 is 4 marks)
27
Work out the highest common factor of 54 and 72.
(Total for Question 27 is 2 marks)
28
Work out the lowest common multiple of 6 and 14.
(Total for Question 28 is 2 marks)
29
A recipe for 5 people needs 275 g of rice. Amara wants to make the recipe for 8 people.
(a)Work out the amount of rice needed per person.(2)
(b)Work out the total amount of rice needed for 8 people.(2)
(Total for Question 29 is 4 marks)
30
Oliver has 7/15 of a bag of 225 sweets. Calculate how many sweets Oliver has.
(Total for Question 30 is 2 marks)
31
Work out 3 1/3 + 2 3/4.
(Total for Question 31 is 2 marks)
32
Priya saves 9 pounds sterling each week. Calculate how much she saves in 16 weeks.
(Total for Question 32 is 2 marks)
33
Daniel invests 480 pounds sterling in a savings account paying simple interest at 4% per annum. Calculate the total amount in his account after 5 years.
(Total for Question 33 is 4 marks)
34
Sofia orders a coat priced at 160 pounds sterling. The shop offers 15% off for students. There is also a delivery charge of 4.50 pounds sterling, which is not discounted. Calculate the total amount Sofia pays.
(Total for Question 34 is 4 marks)
35
Solve each equation.
(a)Solve 8y + 3 = 43.(2)
(b)Solve 9x - 7 = 5x + 21.(3)
(Total for Question 35 is 5 marks)
36
A charity bake sale raises 540 pounds sterling from 3 stalls, shared in the ratio 2:3:4.
(a)Work out the largest of the three stalls' shares.(2)
(b)The organisers keep 20% of the total 540 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 39.4 x 8.2.
(Total for Question 37 is 2 marks)
38
A train travels 210 km in 3.5 hours at a constant speed.
(a)Calculate the train's average speed in km/h.(2)
(b)At this speed, calculate how far the train would travel in 5 hours.(2)
(Total for Question 38 is 4 marks)
39
Ibrahim scored 42 out of 50 in a maths test and 68 out of 80 in an English test. By converting both scores to percentages, work out which test he scored more highly on.
(Total for Question 39 is 3 marks)
40
A shop reduces the price of a 96 pounds sterling television by 25% in a spring 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 television.
(Total for Question 40 is 5 marks)
Mark scheme · CE.M20 Mental Arithmetic: Practice Set 5
Question 1
B1 85 cao
Answer: 85
Question 2
B1 36 cao
Answer: 36
Question 3
B1 54 cao
Answer: 54
Question 4
B1 12 cao
Answer: 12
Question 5
B1 81 cao
Answer: 81
Question 6
B1 14 cao
Answer: 14
Question 7
B1 7 cao
Answer: 7
Question 8
B1 -11 cao
Answer: -11
Question 9
B1 0.45 oe
Answer: 0.45
Question 10
B1 41 cao (correct order of operations)
Answer: 41
Question 11
B1 13/20 oe
Answer: 13/20
Question 12
M1 91 / 7 = 13 oe
A1 39 cao
Answer: 39
Question 13
M1 10% of 60 = 6 and 5% of 60 = 3, or equivalent valid method oe
A1 21 cao
Answer: £21
Question 14
M1 4 x 5 = 20 seen (correct order of operations)
A1 21 cao
Answer: 21
Question 15
M1 - (-9) = + 9 oe
A1 16 cao
Answer: 16
Question 16
(a) B1 64 cao
(a) Answer: 64
(b) B1 18 cao
(b) Answer: 18
(c) B1 125 cao
(c) Answer: 125
Question 17
M1 132 / 11 = 12 (value of one share) oe
A1 Priya receives 48 (pounds sterling) cao
A1 Tomasz receives 84 (pounds sterling) cao
Answer: Priya: £48, Tomasz: £84
Question 18
M1 340 / 5 = 68 oe
A1 136 cao
Answer: 136 chairs
Question 19
M1 50% of 84 = 42 oe
M1 25% of 84 = 21 (half of 42), or equivalent valid method
A1 63 cao
Answer: £63
Question 20
M1 7x = 35 oe
A1 x = 5 cao
Answer: x = 5
Question 21
M1 50% of 180 = 90 and 5% of 180 = 9, or equivalent valid method oe
A1 99 cao
Answer: 99
Question 22
B1 0.375 oe
Answer: 0.375
Question 23
B1 5.9 cao
Answer: 5.9
Question 24
M1 6 x 9 = 54 seen (correct order of operations)
A1 156 cao
Answer: 156
Question 25
M1 14 x 13 oe
A1 182 cao
Answer: £182
Question 26
M1 4 x 0.45 = 1.80 oe
M1 1.80 + 2.30 = 4.10 (ft their 1.80)
M1 10.00 - 4.10 (ft their 4.10)
A1 5.90 cao
Answer: £5.90
Question 27
M1 factors of 54 and 72 listed or compared oe
A1 18 cao
Answer: 18
Question 28
M1 multiples of 6 and 14 listed or compared oe
A1 42 cao
Answer: 42
Question 29
(a) M1 275 / 5 oe
(a) A1 55 (g) cao
(a) Answer: 55 g
(b) M1 55 x 8 (ft their 55)
(b) A1 440 (g) cao
(b) Answer: 440 g
Question 30
M1 225 / 15 = 15 oe
A1 105 cao
Answer: 105 sweets
Question 31
M1 4/12 and 9/12 (common denominator used) oe
A1 6 1/12 cao
Answer: 6 1/12
Question 32
M1 9 x 16 oe
A1 144 cao
Answer: £144
Question 33
M1 4% of 480 = 19.20 oe
M1 19.20 x 5 = 96 (ft their 19.20)
M1 480 + 96 (ft their 96)
A1 576 cao
Answer: £576
Question 34
M1 15% of 160 = 24 oe
M1 160 - 24 = 136 (ft their 24)
M1 136 + 4.50 (ft their 136)
A1 140.50 cao
Answer: £140.50
Question 35
(a) M1 8y = 40 oe
(a) A1 y = 5 cao
(a) Answer: y = 5
(b) M1 4x = 28 oe (correct collection of terms)
(b) M1 x = 28 / 4 (ft their 28)
(b) A1 x = 7 cao
(b) Answer: x = 7
Question 36
(a) M1 540 / 9 = 60 (value of one part) oe
(a) A1 240 cao
(a) Answer: £240
(b) M1 20% of 540 = 108 oe
(b) M1 540 - 108 (ft their 108)
(b) A1 432 cao
(b) Answer: £432
Question 37
M1 40 x 8 oe (correct rounding to 1 significant figure)
A1 320 cao
Answer: 320
Question 38
(a) M1 210 / 3.5 oe
(a) A1 60 (km/h) cao
(a) Answer: 60 km/h
(b) M1 60 x 5 (ft their speed from part a)
(b) A1 300 (km) cao
(b) Answer: 300 km
Question 39
M1 42 / 50 = 84% oe
M1 68 / 80 = 85% oe
A1 English test, with both percentages correctly stated
Answer: English test (85% vs 84%)
Question 40
M1 25% of 96 = 24 oe
M1 96 - 24 = 72 (ft their 24)
dM1 10% of 72 = 7.20 oe, dependent on previous mark