This is a Sutton/SET-style multiple choice mathematics mock test (Mock 2). Time allowed: 45 minutes. There are 40 questions, each worth 1 mark (40 marks in total). For each question, choose the single best answer from options A to E and mark it clearly on a separate answer sheet. Calculators are not allowed. Work through the questions in order. Some of the later questions are more challenging multi-step problems, so keep an eye on the time and do not spend too long on any one question. Do all working on rough paper, not on the answer sheet.
1
SET-STYLE MATHS MOCK 2 - 40 questions - 45 minutes - no calculator. Choose the single best answer from A to E for each question and record it on your answer sheet. Q1: Priya buys a pencil case for £3.45 and a set of pens for £2.30. How much does she spend in total?
A) £5.65
B) £5.75
C) £5.85
D) £6.75
E) £5.70
(Total for Question 1 is 1 mark)
2
A minibus has 9 rows of seats with 6 seats in each row. How many seats are there in total?
A) 15
B) 48
C) 54
D) 63
E) 45
(Total for Question 2 is 1 mark)
3
Aaliyah has £56. She spends 3/8 of it on a book. How much does she spend?
A) £7
B) £21
C) £35
D) £14
E) £28
(Total for Question 3 is 1 mark)
4
Round 6,482 to the nearest hundred.
A) 6,400
B) 6,480
C) 6,500
D) 6,000
E) 6,600
(Total for Question 4 is 1 mark)
5
Find 20% of 340.
A) 34
B) 68
C) 17
D) 60
E) 72
(Total for Question 5 is 1 mark)
6
A film starts at 14:35 and lasts 1 hour 50 minutes. What time does it finish?
A) 16:15
B) 16:25
C) 15:25
D) 16:35
E) 16:20
(Total for Question 6 is 1 mark)
7
How many sides does a heptagon have?
A) 5
B) 6
C) 7
D) 8
E) 9
(Total for Question 7 is 1 mark)
8
Share £84 between two cousins in the ratio 3:4. How much is the smaller share?
A) £28
B) £42
C) £36
D) £48
E) £63
(Total for Question 8 is 1 mark)
9
Which of these numbers is the largest: 0.6, 0.56, 0.605, 0.65, 0.599?
A) 0.56
B) 0.605
C) 0.65
D) 0.599
E) 0.6
(Total for Question 9 is 1 mark)
10
A rectangular lawn is 9 m long and 6 m wide. What is its area?
A) 15 m2
B) 30 m2
C) 45 m2
D) 54 m2
E) 60 m2
(Total for Question 10 is 1 mark)
11
A rectangular field is 12 m by 8 m. What is its perimeter?
A) 20 m
B) 40 m
C) 96 m
D) 48 m
E) 32 m
(Total for Question 11 is 1 mark)
12
Solve: 5x - 15 = 20
A) 1
B) 4
C) 7
D) 6
E) 11
(Total for Question 12 is 1 mark)
13
What is the next term in this sequence? 1, 4, 10, 19, 31, ...
A) 40
B) 43
C) 46
D) 49
E) 61
(Total for Question 13 is 1 mark)
14
Find the mean of these numbers: 23, 31, 12, 40, 19
A) 12
B) 21
C) 25
D) 29
E) 40
(Total for Question 14 is 1 mark)
15
A bag contains 7 red counters, 4 yellow counters and 9 green counters. A counter is picked at random. What is the probability that it is yellow?
A) 1/20
B) 1/5
C) 1/4
D) 9/20
E) 7/20
(Total for Question 15 is 1 mark)
16
A car travels 150 km in 3 hours. What is its average speed?
A) 45 km/h
B) 50 km/h
C) 60 km/h
D) 450 km/h
E) 3 km/h
(Total for Question 16 is 1 mark)
17
A jacket costs £80. Its price increases by 15%. What is the new price?
A) £12
B) £68
C) £92
D) £95
E) £88
(Total for Question 17 is 1 mark)
18
Work out 2/3 + 1/4
A) 3/7
B) 3/4
C) 11/12
D) 9/12
E) 5/6
(Total for Question 18 is 1 mark)
19
Two angles lie on a straight line. One angle is 78 degrees. What is the other angle?
A) 12
B) 90
C) 102
D) 112
E) 78
(Total for Question 19 is 1 mark)
20
A triangle has angles of 42 degrees and 88 degrees. What is the third angle?
A) 40
B) 46
C) 50
D) 60
E) 130
(Total for Question 20 is 1 mark)
21
In a school choir, the ratio of boys to girls is 3:5. There are 18 boys. How many girls are there?
A) 24
B) 27
C) 30
D) 33
E) 36
(Total for Question 21 is 1 mark)
22
Work out 3/5 x 2/7
A) 5/12
B) 6/35
C) 6/7
D) 3/35
E) 2/35
(Total for Question 22 is 1 mark)
23
156 pupils are put into minibuses that each hold 9 pupils. How many minibuses are needed to fit everyone in?
A) 16
B) 17
C) 18
D) 19
E) 20
(Total for Question 23 is 1 mark)
24
Convert 4.7 metres to centimetres.
A) 47 cm
B) 470 cm
C) 4,700 cm
D) 407 cm
E) 47,000 cm
(Total for Question 24 is 1 mark)
25
The table shows the number of books read by each pupil in a class during one month. How many more pupils read 2 books than read 4 books?
Figure (to be drawn): Books read | Number of pupils
1 | 4
2 | 7
3 | 5
4 | 2
5 | 2
A) 3
B) 4
C) 5
D) 7
E) 9
(Total for Question 25 is 1 mark)
26
What is the lowest common multiple of 9 and 12?
A) 3
B) 21
C) 36
D) 108
E) 18
(Total for Question 26 is 1 mark)
27
Which of these numbers is prime: 91, 93, 97, 111, 119?
A) 91
B) 93
C) 97
D) 111
E) 119
(Total for Question 27 is 1 mark)
28
What is √196?
A) 13
B) 14
C) 15
D) 98
E) 196
(Total for Question 28 is 1 mark)
29
A shop reduces a £160 sofa by 30% in a sale. It is then reduced by a further 5% in a clearance sale. What is the final price?
A) £104
B) £117.60
C) £106.40
D) £112
E) £152
(Total for Question 29 is 1 mark)
30
Solve: 3(x + 4) = 27
A) 3
B) 5
C) 8
D) 13
E) 23
(Total for Question 30 is 1 mark)
31
The ratio of Tom's age to his sister Freya's age is 2:3. In 5 years' time, the sum of their ages will be 40. How old is Tom now?
A) 6
B) 16
C) 12
D) 17
E) 18
(Total for Question 31 is 1 mark)
32
Kwame drives 60 km at an average speed of 30 km/h, then a further 60 km at an average speed of 60 km/h. What is his average speed for the whole journey?
A) 40 km/h
B) 45 km/h
C) 48 km/h
D) 30 km/h
E) 60 km/h
(Total for Question 32 is 1 mark)
33
A garden is L-shaped: a large rectangle 12 m by 9 m with a smaller rectangle 5 m by 2 m cut from one corner. What is the area of the garden?
Figure (to be drawn): Large rectangle 12 m by 9 m with a 5 m by 2 m rectangle removed from one corner, forming an L-shape (not to scale).
A) 88 m2
B) 94 m2
C) 98 m2
D) 103 m2
E) 108 m2
(Total for Question 33 is 1 mark)
34
Find the volume of a cuboid with length 5 cm, width 4 cm and height 6 cm.
A) 15 cm3
B) 20 cm3
C) 90 cm3
D) 120 cm3
E) 150 cm3
(Total for Question 34 is 1 mark)
35
The nth term of a sequence is given by 3n + 2. What is the 15th term?
A) 45
B) 47
C) 44
D) 17
E) 50
(Total for Question 35 is 1 mark)
36
In a class of 30 pupils, 18 play football, 14 play cricket, and 6 play neither sport. How many pupils play both football and cricket?
A) 2
B) 4
C) 8
D) 14
E) 18
(Total for Question 36 is 1 mark)
37
Elif has 4 different books. In how many different orders can she arrange all 4 books on a shelf?
A) 8
B) 12
C) 16
D) 24
E) 48
(Total for Question 37 is 1 mark)
38
After a 20% discount, a pair of trainers costs £52. What was the original price?
A) £62.40
B) £65
C) £41.60
D) £57.20
E) £70
(Total for Question 38 is 1 mark)
39
A recipe for 12 flapjacks uses 180 g of oats, 90 g of butter and 60 g of sugar. Zara wants to make 30 flapjacks using the same ratios. How much butter does she need?
A) 180 g
B) 200 g
C) 210 g
D) 225 g
E) 270 g
(Total for Question 39 is 1 mark)
40
At the start of the day, a bakery has 240 loaves of bread. By midday, 5/12 of the loaves have been sold. Of the loaves remaining after midday, 40% are sold in the afternoon. How many loaves are left at the end of the day?
A) 56
B) 84
C) 94
D) 105
E) 140
(Total for Question 40 is 1 mark)
Mark scheme · EP.T13 Sutton/SET-Style Maths Mock 2
Question 1
B1 B) £5.75 - 3.45 + 2.30 = 5.75
Answer: £5.75
Question 2
B1 C) 54 - 9 x 6 = 54
Answer: 54
Question 3
B1 B) £21 - 56/8=7, 7x3=21
Answer: £21
Question 4
B1 C) 6,500 - the tens digit is 8, so round up
Answer: 6,500
Question 5
B1 B) 68 - 10% of 340 = 34, so 20% = 68
Answer: 68
Question 6
B1 B) 16:25 - 35+50=85 min=1h25min, so 14:35+1:50=16:25
Answer: 16:25
Question 7
B1 C) 7 - a heptagon has 7 sides
Answer: 7
Question 8
B1 C) £36 - 84/7=12 per part, smaller share = 3 x 12 = 36
Answer: £36
Question 9
B1 C) 0.65 - as thousandths: 0.600, 0.560, 0.605, 0.650, 0.599; the largest is 0.650
Answer: 0.65
Question 10
B1 D) 54 m2 - 9 x 6 = 54
Answer: 54 m2
Question 11
B1 B) 40 m - 2 x (12+8) = 40
Answer: 40 m
Question 12
B1 C) 7 - 5x=35, x=7
Answer: 7
Question 13
B1 C) 46 - the differences increase by 3 each time (3,6,9,12,15), so 31+15=46
Answer: 46
Question 14
B1 C) 25 - (23+31+12+40+19)/5 = 125/5 = 25
Answer: 25
Question 15
B1 B) 1/5 - 4 yellow out of 20 counters in total, 4/20=1/5
Answer: 1/5
Question 16
B1 B) 50 km/h - 150/3=50
Answer: 50 km/h
Question 17
B1 C) £92 - 15% of 80 = 12, so new price = 80+12=92
Answer: £92
Question 18
B1 C) 11/12 - 8/12+3/12=11/12
Answer: 11/12
Question 19
B1 C) 102 - 180-78=102
Answer: 102 degrees
Question 20
B1 C) 50 - 180-42-88=50
Answer: 50 degrees
Question 21
B1 C) 30 - 1 part=18/3=6, girls=5x6=30
Answer: 30
Question 22
B1 B) 6/35 - (3x2)/(5x7)=6/35
Answer: 6/35
Question 23
B1 C) 18 - 17x9=153, leaving 3 pupils, so an extra minibus is needed