88 pounds sterling is shared between Mei-Ling and Ravi in the ratio 3:5. Work out how much each person receives.
(Total for Question 17 is 3 marks)
18
A choir has 132 members. 5/12 of the members are altos. Calculate how many members are altos.
(Total for Question 18 is 2 marks)
19
A keyboard costs 90 pounds sterling. In a sale its price is reduced by 30%. Work out the sale price.
(Total for Question 19 is 3 marks)
20
Solve 6x + 4 = 40.
(Total for Question 20 is 2 marks)
21
Work out 35% of 220.
(Total for Question 21 is 2 marks)
22
Write 5/8 as a decimal.
(Total for Question 22 is 1 mark)
23
Round 4.176 to 1 decimal place.
(Total for Question 23 is 1 mark)
24
Work out 130 - 8 x 9.
(Total for Question 24 is 2 marks)
25
A theatre sells tickets at 14 pounds sterling each. Calculate the total cost for 17 tickets.
(Total for Question 25 is 2 marks)
26
Declan buys 5 postcards at 45 pence each and a magazine 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 42 and 56.
(Total for Question 27 is 2 marks)
28
Work out the lowest common multiple of 9 and 12.
(Total for Question 28 is 2 marks)
29
A recipe for 5 people needs 275 g of pasta. Nadia wants to make the recipe for 8 people.
(a)Work out the amount of pasta needed per person.(2)
(b)Work out the total amount of pasta needed for 8 people.(2)
(Total for Question 29 is 4 marks)
30
Osei has 7/20 of a box of 180 marbles. Calculate how many marbles Osei has.
(Total for Question 30 is 2 marks)
31
Work out 3 1/3 + 2 5/6.
(Total for Question 31 is 2 marks)
32
Siobhan saves 9 pounds sterling each week. Calculate how much she saves in 12 weeks.
(Total for Question 32 is 2 marks)
33
Tariq invests 750 pounds sterling in a savings account paying simple interest at 6% per annum. Calculate the total amount in his account after 2 years.
(Total for Question 33 is 4 marks)
34
Poppy orders a coat priced at 130 pounds sterling. The shop offers 25% off for signing up to the newsletter. There is also a delivery charge of 4.50 pounds sterling, which is not discounted. Calculate the total amount Poppy pays.
(Total for Question 34 is 4 marks)
35
Solve each equation.
(a)Solve 4y + 3 = 27.(2)
(b)Solve 7x - 8 = 3x + 20.(3)
(Total for Question 35 is 5 marks)
36
A charity quiz night raises 630 pounds sterling from 3 teams, shared in the ratio 2:3:4.
(a)Work out the largest of the three teams' shares.(2)
(b)The organisers keep 10% of the total 630 pounds sterling for hall hire 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 78.4 x 5.1.
(Total for Question 37 is 2 marks)
38
A cyclist travels 84 km in 3.5 hours at a constant speed.
(a)Calculate the cyclist's average speed in km/h.(2)
(b)At this speed, calculate how far the cyclist would travel in 5 hours.(2)
(Total for Question 38 is 4 marks)
39
Isla scored 57 out of 75 in a maths test and 42 out of 60 in a French 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 60 pounds sterling coat by 20% in a spring sale. It is then reduced by a further 15% of the new, already reduced, price in a clearance sale. Calculate the final price of the coat.
(Total for Question 40 is 5 marks)
Mark scheme · CE.M16 Mental Arithmetic: Practice Set 3
Question 1
B1 83 cao
Answer: 83
Question 2
B1 53 cao
Answer: 53
Question 3
B1 63 cao
Answer: 63
Question 4
B1 14 cao
Answer: 14
Question 5
B1 64 cao
Answer: 64
Question 6
B1 13 cao
Answer: 13
Question 7
B1 7 cao
Answer: 7
Question 8
B1 -9 cao
Answer: -9
Question 9
B1 0.8 oe
Answer: 0.8
Question 10
B1 33 cao (correct order of operations)
Answer: 33
Question 11
B1 13/20 oe
Answer: 13/20
Question 12
M1 108 / 6 = 18 oe
A1 90 cao
Answer: 90
Question 13
M1 68 / 4 oe (quarter method)
A1 17 cao
Answer: £17
Question 14
M1 5 x 3 = 15 seen (correct order of operations)
A1 16 cao
Answer: 16
Question 15
M1 - (-8) = + 8 oe
A1 15 cao
Answer: 15
Question 16
(a) B1 16 cao
(a) Answer: 16
(b) B1 15 cao
(b) Answer: 15
(c) B1 27 cao
(c) Answer: 27
Question 17
M1 88 / 8 = 11 (value of one share) oe
A1 Mei-Ling receives 33 (pounds sterling) cao
A1 Ravi receives 55 (pounds sterling) cao
Answer: Mei-Ling: £33, Ravi: £55
Question 18
M1 132 / 12 = 11 oe
A1 55 cao
Answer: 55 members
Question 19
M1 10% of 90 = 9 oe
M1 9 x 3 = 27 (30% found), or equivalent valid method
A1 63 cao
Answer: £63
Question 20
M1 6x = 36 oe
A1 x = 6 cao
Answer: x = 6
Question 21
M1 10% of 220 = 22 and 5% of 220 = 11, or equivalent valid method oe
A1 77 cao
Answer: 77
Question 22
B1 0.625 oe
Answer: 0.625
Question 23
B1 4.2 cao
Answer: 4.2
Question 24
M1 8 x 9 = 72 seen (correct order of operations)
A1 58 cao
Answer: 58
Question 25
M1 14 x 17 oe
A1 238 cao
Answer: £238
Question 26
M1 5 x 0.45 = 2.25 oe
M1 2.25 + 2.30 = 4.55 (ft their 2.25)
M1 10 - 4.55 (ft their 4.55)
A1 5.45 cao
Answer: £5.45
Question 27
M1 factors of 42 and 56 listed or compared oe
A1 14 cao
Answer: 14
Question 28
M1 multiples of 9 and 12 listed or compared oe
A1 36 cao
Answer: 36
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 180 / 20 = 9 oe
A1 63 cao
Answer: 63 marbles
Question 31
M1 2/6 and 5/6 (common denominator used) oe
A1 6 1/6 cao
Answer: 6 1/6
Question 32
M1 9 x 12 oe
A1 108 cao
Answer: £108
Question 33
M1 6% of 750 = 45 oe
M1 45 x 2 = 90 (ft their 45)
M1 750 + 90 (ft their 90)
A1 840 cao
Answer: £840
Question 34
M1 130 / 4 = 32.50 (25% found) oe
M1 130 - 32.50 = 97.50 (ft their 32.50)
M1 97.50 + 4.50 (ft their 97.50)
A1 102.00 cao
Answer: £102.00
Question 35
(a) M1 4y = 24 oe
(a) A1 y = 6 cao
(a) Answer: y = 6
(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 630 / 9 = 70 (value of one part) oe
(a) A1 280 cao
(a) Answer: £280
(b) M1 10% of 630 = 63 oe
(b) M1 630 - 63 (ft their 63)
(b) A1 567 cao
(b) Answer: £567
Question 37
M1 80 x 5 oe (correct rounding to 1 significant figure)
A1 400 cao
Answer: 400
Question 38
(a) M1 84 / 3.5 oe
(a) A1 24 (km/h) cao
(a) Answer: 24 km/h
(b) M1 24 x 5 (ft their speed from part a)
(b) A1 120 (km) cao
(b) Answer: 120 km
Question 39
M1 57 / 75 = 76% oe
M1 42 / 60 = 70% oe
A1 Maths test, with both percentages correctly stated
Answer: Maths test (76% vs 70%)
Question 40
M1 20% of 60 = 12 oe
M1 60 - 12 = 48 (ft their 12)
dM1 15% of 48 = 7.2 oe, dependent on previous mark