72 pounds sterling is shared between Kwame and Zainab in the ratio 4:5. Work out how much each person receives.
(Total for Question 17 is 3 marks)
18
A youth club has 360 members. 1/6 of the members play football. Calculate how many members play football.
(Total for Question 18 is 2 marks)
19
A jacket costs 65 pounds sterling. In a sale its price is reduced by 20%. Work out the sale price.
(Total for Question 19 is 3 marks)
20
Solve 4x + 5 = 33.
(Total for Question 20 is 2 marks)
21
Work out 15% of 140.
(Total for Question 21 is 2 marks)
22
Write 7/8 as a decimal.
(Total for Question 22 is 1 mark)
23
Round 6.283 to 1 decimal place.
(Total for Question 23 is 1 mark)
24
Work out 144 - 6 x 9.
(Total for Question 24 is 2 marks)
25
A school trip costs 18 pounds sterling per pupil. Calculate the total cost for 23 pupils.
(Total for Question 25 is 2 marks)
26
Freya buys 4 pens at 85 pence each and a ruler for 60 pence. 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 24 and 36.
(Total for Question 27 is 2 marks)
28
Work out the lowest common multiple of 6 and 8.
(Total for Question 28 is 2 marks)
29
A recipe for 4 people needs 320 g of rice. Idris wants to make the recipe for 10 people.
(a)Work out the amount of rice needed per person.(2)
(b)Work out the total amount of rice needed for 10 people.(2)
(Total for Question 29 is 4 marks)
30
Amara has 3/10 of a bag of 240 sweets. Calculate how many sweets Amara has.
(Total for Question 30 is 2 marks)
31
Work out 2 1/2 + 1 3/4.
(Total for Question 31 is 2 marks)
32
Callum saves 6 pounds sterling each week. Calculate how much he saves in 15 weeks.
(Total for Question 32 is 2 marks)
33
Niamh invests 600 pounds sterling in a savings account paying simple interest at 4% per annum. Calculate the total amount in her account after 3 years.
(Total for Question 33 is 4 marks)
34
Deepak buys a bicycle priced at 180 pounds sterling. The shop offers 10% off for paying in cash. There is also a delivery charge of 8.50 pounds sterling, which is not discounted. Calculate the total amount Deepak pays.
(Total for Question 34 is 4 marks)
35
Solve each equation.
(a)Solve 2y + 9 = 31.(2)
(b)Solve 6x - 5 = 3x + 16.(3)
(Total for Question 35 is 5 marks)
36
A charity bake sale raises 240 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 5% of the total 240 pounds sterling for ingredient 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 62.8 x 9.7.
(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 2 hours.(2)
(Total for Question 38 is 4 marks)
39
Rhys scored 68 out of 80 in a maths test and 39 out of 50 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 45 pounds sterling jumper by 30% 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 jumper.
(Total for Question 40 is 5 marks)
Mark scheme · CE.M7B Mental Arithmetic: Practice Set 2
Question 1
B1 85 cao
Answer: 85
Question 2
B1 45 cao
Answer: 45
Question 3
B1 48 cao
Answer: 48
Question 4
B1 12 cao
Answer: 12
Question 5
B1 36 cao
Answer: 36
Question 6
B1 11 cao
Answer: 11
Question 7
B1 5 cao
Answer: 5
Question 8
B1 -8 cao
Answer: -8
Question 9
B1 0.6 oe
Answer: 0.6
Question 10
B1 22 cao (correct order of operations)
Answer: 22
Question 11
B1 9/20 oe
Answer: 9/20
Question 12
M1 84 / 4 = 21 oe
A1 63 cao
Answer: 63
Question 13
M1 10% of 85 = 8.5 oe
A1 17 cao
Answer: £17
Question 14
M1 4 x 3 = 12 seen (correct order of operations)
A1 15 cao
Answer: 15
Question 15
M1 - (-9) = + 9 oe
A1 4 cao
Answer: 4
Question 16
(a) B1 49 cao
(a) Answer: 49
(b) B1 12 cao
(b) Answer: 12
(c) B1 64 cao
(c) Answer: 64
Question 17
M1 72 / 9 = 8 (value of one share) oe
A1 Kwame receives 32 (pounds sterling) cao
A1 Zainab receives 40 (pounds sterling) cao
Answer: Kwame: £32, Zainab: £40
Question 18
M1 360 / 6 oe
A1 60 cao
Answer: 60 members
Question 19
M1 10% of 65 = 6.5 oe
M1 6.5 x 2 = 13 (20% found), or equivalent valid method
A1 52 cao
Answer: £52
Question 20
M1 4x = 28 oe
A1 x = 7 cao
Answer: x = 7
Question 21
M1 10% of 140 = 14 and 5% of 140 = 7, or equivalent valid method oe
A1 21 cao
Answer: 21
Question 22
B1 0.875 oe
Answer: 0.875
Question 23
B1 6.3 cao
Answer: 6.3
Question 24
M1 6 x 9 = 54 seen (correct order of operations)
A1 90 cao
Answer: 90
Question 25
M1 18 x 23 oe
A1 414 cao
Answer: £414
Question 26
M1 4 x 0.85 = 3.40 oe
M1 3.40 + 0.60 = 4.00 (ft their 3.40)
M1 5.00 - 4.00 (ft their 4.00)
A1 1.00 cao
Answer: £1.00
Question 27
M1 factors of 24 and 36 listed or compared oe
A1 12 cao
Answer: 12
Question 28
M1 multiples of 6 and 8 listed or compared oe
A1 24 cao
Answer: 24
Question 29
(a) M1 320 / 4 oe
(a) A1 80 (g) cao
(a) Answer: 80 g
(b) M1 80 x 10 (ft their 80)
(b) A1 800 (g) cao
(b) Answer: 800 g
Question 30
M1 240 / 10 = 24 oe
A1 72 cao
Answer: 72 sweets
Question 31
M1 2/4 and 3/4 (common denominator used) oe
A1 4 1/4 cao
Answer: 4 1/4
Question 32
M1 6 x 15 oe
A1 90 cao
Answer: £90
Question 33
M1 4% of 600 = 24 oe
M1 24 x 3 = 72 (ft their 24)
M1 600 + 72 (ft their 72)
A1 672 cao
Answer: £672
Question 34
M1 10% of 180 = 18 oe
M1 180 - 18 = 162 (ft their 18)
M1 162 + 8.50 (ft their 162)
A1 170.50 cao
Answer: £170.50
Question 35
(a) M1 2y = 22 oe
(a) A1 y = 11 cao
(a) Answer: y = 11
(b) M1 3x = 21 oe (correct collection of terms)
(b) M1 x = 21 / 3 (ft their 21)
(b) A1 x = 7 cao
(b) Answer: x = 7
Question 36
(a) M1 240 / 12 = 20 (value of one part) oe
(a) A1 100 cao
(a) Answer: £100
(b) M1 5% of 240 = 12 oe
(b) M1 240 - 12 (ft their 12)
(b) A1 228 cao
(b) Answer: £228
Question 37
M1 60 x 10 oe (correct rounding to 1 significant figure)
A1 600 cao
Answer: 600
Question 38
(a) M1 210 / 3.5 oe
(a) A1 60 (km/h) cao
(a) Answer: 60 km/h
(b) M1 60 x 2 (ft their speed from part a)
(b) A1 120 (km) cao
(b) Answer: 120 km
Question 39
M1 68 / 80 = 85% oe
M1 39 / 50 = 78% oe
A1 Maths test, with both percentages correctly stated
Answer: Maths test (85% vs 78%)
Question 40
M1 30% of 45 = 13.50 oe
M1 45 - 13.50 = 31.50 (ft their 13.50)
dM1 10% of 31.50 = 3.15 oe, dependent on previous mark