180 pounds sterling is shared between Freya and Kwame in the ratio 4:5. Work out how much each person receives.
(Total for Question 17 is 3 marks)
18
A concert venue has 216 seats. 5/8 of the seats are on the ground floor. Calculate how many seats are on the ground floor.
(Total for Question 18 is 2 marks)
19
A jacket 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 9x + 5 = 68.
(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 6.734 to 1 decimal place.
(Total for Question 23 is 1 mark)
24
Work out 170 - 9 x 8.
(Total for Question 24 is 2 marks)
25
A museum sells tickets at 13 pounds sterling each. Calculate the total cost for 17 tickets.
(Total for Question 25 is 2 marks)
26
Ayesha buys 5 badges at 55 pence each and a poster for 2.60 pounds sterling. She pays with a 10 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 84.
(Total for Question 27 is 2 marks)
28
Work out the lowest common multiple of 9 and 15.
(Total for Question 28 is 2 marks)
29
A recipe for 6 people needs 288 g of quinoa. Bilal wants to make the recipe for 9 people.
(a)Work out the amount of quinoa needed per person.(2)
(b)Work out the total amount of quinoa needed for 9 people.(2)
(Total for Question 29 is 4 marks)
30
Nia has 11/24 of a box of 216 buttons. Calculate how many buttons Nia has.
(Total for Question 30 is 2 marks)
31
Work out 5 2/5 + 1 3/4.
(Total for Question 31 is 2 marks)
32
Meera saves 11 pounds sterling each week. Calculate how much she saves in 15 weeks.
(Total for Question 32 is 2 marks)
33
Jakub invests 540 pounds sterling in a savings account paying simple interest at 6% per annum. Calculate the total amount in his account after 5 years.
(Total for Question 33 is 4 marks)
34
Chidi orders a laptop priced at 240 pounds sterling. The shop offers 15% off for students. There is also a delivery charge of 6.50 pounds sterling, which is not discounted. Calculate the total amount Chidi pays.
(Total for Question 34 is 4 marks)
35
Solve each equation.
(a)Solve 7y + 4 = 46.(2)
(b)Solve 10x - 6 = 6x + 22.(3)
(Total for Question 35 is 5 marks)
36
A summer fete raises 540 pounds sterling from 3 stalls, shared in the ratio 4:5:9.
(a)Work out the largest of the three stalls' shares.(2)
(b)The organisers keep 10% 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 62.3 x 4.8.
(Total for Question 37 is 2 marks)
38
A cyclist travels 189 km in 4.5 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 7 hours.(2)
(Total for Question 38 is 4 marks)
39
Rhys scored 39 out of 60 in a maths test and 44 out of 55 in a science 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 an 80 pounds sterling speaker by 25% in a spring sale. It is then reduced by a further 20% of the new, already reduced, price in a clearance sale. Calculate the final price of the speaker.
(Total for Question 40 is 5 marks)
Mark scheme · CE.M22 Mental Arithmetic: Practice Set 6
Question 1
B1 134 cao
Answer: 134
Question 2
B1 46 cao
Answer: 46
Question 3
B1 63 cao
Answer: 63
Question 4
B1 13 cao
Answer: 13
Question 5
B1 121 cao
Answer: 121
Question 6
B1 16 cao
Answer: 16
Question 7
B1 8 cao
Answer: 8
Question 8
B1 -9 cao
Answer: -9
Question 9
B1 0.85 oe
Answer: 0.85
Question 10
B1 41 cao (correct order of operations)
Answer: 41
Question 11
B1 7/25 oe
Answer: 7/25
Question 12
M1 96 / 8 = 12 oe
A1 60 cao
Answer: 60
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 6 x 5 = 30 seen (correct order of operations)
A1 27 cao
Answer: 27
Question 15
M1 - (-14) = + 14 oe
A1 22 cao
Answer: 22
Question 16
(a) B1 81 cao
(a) Answer: 81
(b) B1 20 cao
(b) Answer: 20
(c) B1 64 cao
(c) Answer: 64
Question 17
M1 180 / 9 = 20 (value of one share) oe
A1 Freya receives 80 (pounds sterling) cao
A1 Kwame receives 100 (pounds sterling) cao
Answer: Freya: £80, Kwame: £100
Question 18
M1 216 / 8 = 27 oe
A1 135 cao
Answer: 135 seats
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 9x = 63 oe
A1 x = 7 cao
Answer: x = 7
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 6.7 cao
Answer: 6.7
Question 24
M1 9 x 8 = 72 seen (correct order of operations)
A1 98 cao
Answer: 98
Question 25
M1 13 x 17 oe
A1 221 cao
Answer: £221
Question 26
M1 5 x 0.55 = 2.75 oe
M1 2.75 + 2.60 = 5.35 (ft their 2.75)
M1 10.00 - 5.35 (ft their 5.35)
A1 4.65 cao
Answer: £4.65
Question 27
M1 factors of 36 and 84 listed or compared oe
A1 12 cao
Answer: 12
Question 28
M1 multiples of 9 and 15 listed or compared oe
A1 45 cao
Answer: 45
Question 29
(a) M1 288 / 6 oe
(a) A1 48 (g) cao
(a) Answer: 48 g
(b) M1 48 x 9 (ft their 48)
(b) A1 432 (g) cao
(b) Answer: 432 g
Question 30
M1 216 / 24 = 9 oe
A1 99 cao
Answer: 99 buttons
Question 31
M1 8/20 and 15/20 (common denominator used) oe
A1 7 3/20 cao
Answer: 7 3/20
Question 32
M1 11 x 15 oe
A1 165 cao
Answer: £165
Question 33
M1 6% of 540 = 32.40 oe
M1 32.40 x 5 = 162 (ft their 32.40)
M1 540 + 162 (ft their 162)
A1 702 cao
Answer: £702
Question 34
M1 15% of 240 = 36 oe
M1 240 - 36 = 204 (ft their 36)
M1 204 + 6.50 (ft their 204)
A1 210.50 cao
Answer: £210.50
Question 35
(a) M1 7y = 42 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 540 / 18 = 30 (value of one part) oe
(a) A1 270 cao
(a) Answer: £270
(b) M1 10% of 540 = 54 oe
(b) M1 540 - 54 (ft their 54)
(b) A1 486 cao
(b) Answer: £486
Question 37
M1 60 x 5 oe (correct rounding to 1 significant figure)
A1 300 cao
Answer: 300
Question 38
(a) M1 189 / 4.5 oe
(a) A1 42 (km/h) cao
(a) Answer: 42 km/h
(b) M1 42 x 7 (ft their speed from part a)
(b) A1 294 (km) cao
(b) Answer: 294 km
Question 39
M1 39 / 60 = 65% oe
M1 44 / 55 = 80% oe
A1 Science test, with both percentages correctly stated