This is a Sutton/SET-style multiple choice mathematics mock test. 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 - 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: What is 7 x 8?
A) 54
B) 56
C) 58
D) 64
E) 48
(Total for Question 1 is 1 mark)
2
Work out 356 + 278.
A) 624
B) 634
C) 644
D) 614
E) 636
(Total for Question 2 is 1 mark)
3
Work out 512 - 187.
A) 325
B) 315
C) 335
D) 425
E) 285
(Total for Question 3 is 1 mark)
4
What is 3/4 of 48?
A) 12
B) 16
C) 24
D) 36
E) 40
(Total for Question 4 is 1 mark)
5
Round 4,678 to the nearest hundred.
A) 4,600
B) 4,700
C) 4,680
D) 5,000
E) 4,670
(Total for Question 5 is 1 mark)
6
In a triangle, two angles are 55 degrees and 65 degrees. What is the third angle?
A) 50
B) 55
C) 60
D) 65
E) 70
(Total for Question 6 is 1 mark)
7
A book costs £8.65 and a pen costs £1.35. How much do they cost together?
A) £9.00
B) £9.90
C) £10.00
D) £10.90
E) £11.00
(Total for Question 7 is 1 mark)
8
A train leaves Sutton at 09:47 and arrives at 10:23. How long is the journey?
A) 26 minutes
B) 34 minutes
C) 36 minutes
D) 46 minutes
E) 76 minutes
(Total for Question 8 is 1 mark)
9
Share £60 between Aisha and Ben in the ratio 2:3. How much does Ben get?
A) £12
B) £24
C) £30
D) £36
E) £40
(Total for Question 9 is 1 mark)
10
Find 30% of 250.
A) 25
B) 50
C) 70
D) 75
E) 80
(Total for Question 10 is 1 mark)
11
A rectangle has length 9 cm and width 5 cm. What is its perimeter?
A) 14 cm
B) 24 cm
C) 28 cm
D) 45 cm
E) 32 cm
(Total for Question 11 is 1 mark)
12
A rectangle has length 12 m and width 7 m. What is its area?
A) 19 m2
B) 38 m2
C) 72 m2
D) 84 m2
E) 91 m2
(Total for Question 12 is 1 mark)
13
Work out 5.6 + 3.75.
A) 8.31
B) 9.31
C) 9.35
D) 9.45
E) 8.35
(Total for Question 13 is 1 mark)
14
Which of these fractions is the largest: 2/5, 3/8, 5/12, 1/3, 7/20?
A) 2/5
B) 3/8
C) 5/12
D) 1/3
E) 7/20
(Total for Question 14 is 1 mark)
15
Work out 0.6 x 0.7.
A) 0.42
B) 4.2
C) 0.13
D) 0.48
E) 0.36
(Total for Question 15 is 1 mark)
16
What is 97 divided by 6, giving the remainder?
A) 15 r 7
B) 16 r 1
C) 16 r 2
D) 17 r 1
E) 15 r 1
(Total for Question 16 is 1 mark)
17
The sequence 4, 9, 16, 25, 36 follows a pattern. What is the next term?
A) 42
B) 45
C) 47
D) 49
E) 64
(Total for Question 17 is 1 mark)
18
In a survey, 24 pupils chose football, 18 chose swimming, 12 chose tennis and 6 chose athletics as their favourite sport. How many pupils were surveyed in total?
A) 48
B) 54
C) 60
D) 66
E) 72
(Total for Question 18 is 1 mark)
19
Find the mean of 12, 15, 9, 18, 21.
A) 12
B) 14
C) 15
D) 16
E) 18
(Total for Question 19 is 1 mark)
20
The temperature is -4C at 6am. By noon it has risen by 11 degrees. What is the temperature at noon?
A) -15C
B) -7C
C) 5C
D) 7C
E) 15C
(Total for Question 20 is 1 mark)
21
Which of these numbers is prime: 21, 27, 33, 39, 41?
A) 21
B) 27
C) 33
D) 39
E) 41
(Total for Question 21 is 1 mark)
22
What is the lowest common multiple of 6 and 8?
A) 2
B) 14
C) 24
D) 48
E) 16
(Total for Question 22 is 1 mark)
23
A box holds 24 apples. How many apples are there in 17 boxes?
A) 380
B) 392
C) 404
D) 408
E) 418
(Total for Question 23 is 1 mark)
24
A cyclist travels 30 km in 2 hours. What is her average speed in km/h?
A) 10
B) 12
C) 15
D) 18
E) 20
(Total for Question 24 is 1 mark)
25
Which of these is equal to 3/5?
A) 0.35
B) 35%
C) 0.6
D) 6%
E) 0.06
(Total for Question 25 is 1 mark)
26
If 3x + 7 = 25, what is the value of x?
A) 4
B) 5
C) 6
D) 7
E) 9
(Total for Question 26 is 1 mark)
27
Two angles on a straight line are in the ratio 2:3. What is the size of the larger angle?
A) 72
B) 90
C) 100
D) 108
E) 120
(Total for Question 27 is 1 mark)
28
A cuboid has length 4 cm, width 3 cm and height 5 cm. What is its volume?
A) 12 cm3
B) 35 cm3
C) 47 cm3
D) 60 cm3
E) 94 cm3
(Total for Question 28 is 1 mark)
29
A map has a scale of 1:25000. A distance on the map is 6 cm. What is the real distance in kilometres?
A) 0.15 km
B) 1.5 km
C) 15 km
D) 150 km
E) 1500 km
(Total for Question 29 is 1 mark)
30
Priya buys 3 notebooks at £2.15 each and pays with a £10 note. How much change does she get?
A) £3.35
B) £3.45
C) £3.55
D) £3.65
E) £4.55
(Total for Question 30 is 1 mark)
31
How many millimetres are there in 3.5 metres?
A) 35 mm
B) 350 mm
C) 3500 mm
D) 35000 mm
E) 3.5 mm
(Total for Question 31 is 1 mark)
32
A bag contains 5 red counters, 3 blue counters and 2 green counters. What is the probability of picking a blue counter at random?
A) 1/5
B) 3/10
C) 1/2
D) 2/5
E) 1/10
(Total for Question 32 is 1 mark)
33
Tariq has £45. He spends 2/5 of it on a game and then 1/3 of what remains on a snack. How much money does he have left?
A) £9
B) £12
C) £15
D) £18
E) £21
(Total for Question 33 is 1 mark)
34
In a class, the ratio of boys to girls is 4:5. There are 9 more girls than boys. How many pupils are in the class?
A) 45
B) 54
C) 63
D) 72
E) 81
(Total for Question 34 is 1 mark)
35
A jacket normally costs £64. It is reduced by 25% in a sale, then a further 10% is taken off the sale price. What is the final price?
A) £38.40
B) £40.00
C) £43.20
D) £44.80
E) £48.00
(Total for Question 35 is 1 mark)
36
The perimeter of a rectangle is 54 cm. The length is 3 cm more than twice the width. What is the width?
A) 6 cm
B) 7 cm
C) 8 cm
D) 9 cm
E) 10 cm
(Total for Question 36 is 1 mark)
37
A garden is shaped like a rectangle 10 m by 8 m with a triangular flower bed cut from one corner, with base 4 m and height 3 m. What is the remaining area of the garden?
A) 68 m2
B) 70 m2
C) 74 m2
D) 76 m2
E) 80 m2
(Total for Question 37 is 1 mark)
38
A car travels 84 km at an average speed of 56 km/h for the first part of a journey, then travels a further 45 km at an average speed of 60 km/h. What is the total time taken, in minutes?
A) 105 minutes
B) 120 minutes
C) 125 minutes
D) 135 minutes
E) 150 minutes
(Total for Question 38 is 1 mark)
39
Freya thinks of a number. She doubles it, adds 9, then divides the result by 3 to get 15. What was her original number?
A) 9
B) 13.5
C) 15
D) 18
E) 21
(Total for Question 39 is 1 mark)
40
A tank is 3/8 full of water. When 45 litres are added, the tank becomes 5/8 full. What is the capacity of the tank?
A) 90 litres
B) 120 litres
C) 150 litres
D) 180 litres
E) 200 litres
(Total for Question 40 is 1 mark)
Mark scheme · EP.T8 Sutton/SET-Style Maths Mock
Question 1
B1 B) 56 - 7 x 8 = 56
Answer: 56
Question 2
B1 B) 634 - 356 + 278 = 634
Answer: 634
Question 3
B1 A) 325 - 512 - 187 = 325
Answer: 325
Question 4
B1 D) 36 - 3/4 of 48 = 36
Answer: 36
Question 5
B1 B) 4,700 - the tens digit is 7, so round up
Answer: 4,700
Question 6
B1 C) 60 degrees - angles in a triangle sum to 180
Answer: 60 degrees
Question 7
B1 C) £10.00 - 8.65 + 1.35 = 10.00
Answer: £10.00
Question 8
B1 C) 36 minutes - 9:47 to 10:23 is 36 minutes
Answer: 36 minutes
Question 9
B1 D) £36 - 60 / 5 = 12 per part, Ben has 3 parts = 36
Answer: £36
Question 10
B1 D) 75 - 10% of 250 = 25, so 30% = 75
Answer: 75
Question 11
B1 C) 28 cm - perimeter = 2 x (9 + 5) = 28
Answer: 28 cm
Question 12
B1 D) 84 m2 - area = 12 x 7 = 84
Answer: 84 m2
Question 13
B1 C) 9.35 - 5.60 + 3.75 = 9.35
Answer: 9.35
Question 14
B1 C) 5/12 - as a decimal 5/12 = 0.4167, the largest of the five
Answer: 5/12
Question 15
B1 A) 0.42 - 6 x 7 = 42, with two decimal places gives 0.42
Answer: 0.42
Question 16
B1 B) 16 remainder 1 - 6 x 16 = 96, 97 - 96 = 1
Answer: 16 remainder 1
Question 17
B1 D) 49 - the terms are square numbers, so the next term is 72 = 49
Answer: 49
Question 18
B1 C) 60 - 24 + 18 + 12 + 6 = 60
Answer: 60
Question 19
B1 C) 15 - (12+15+9+18+21) / 5 = 75 / 5 = 15
Answer: 15
Question 20
B1 D) 7 degrees C - -4 + 11 = 7
Answer: 7 degrees C
Question 21
B1 E) 41 - it has no factors other than 1 and itself; the others all divide by 3
Answer: 41
Question 22
B1 C) 24 - the first common multiple of 6 and 8 is 24
Answer: 24
Question 23
B1 D) 408 - 24 x 17 = 240 + 168 = 408
Answer: 408
Question 24
B1 C) 15 km/h - 30 km / 2 hours = 15 km/h
Answer: 15 km/h
Question 25
B1 C) 0.6 - 3/5 = 6/10 = 0.6
Answer: 0.6
Question 26
B1 C) 6 - 3x = 18, x = 6
Answer: 6
Question 27
B1 D) 108 - 180 / 5 = 36 per part, larger angle = 3 x 36 = 108
Answer: 108 degrees
Question 28
B1 D) 60 cm3 - 4 x 3 x 5 = 60
Answer: 60 cm3
Question 29
B1 B) 1.5 km - 6 x 25,000 = 150,000 cm = 1,500 m = 1.5 km
Answer: 1.5 km
Question 30
B1 C) £3.55 - 3 x 2.15 = 6.45, 10.00 - 6.45 = 3.55
Answer: £3.55
Question 31
B1 C) 3,500 mm - 3.5 x 1,000 = 3,500
Answer: 3,500 mm
Question 32
B1 B) 3/10 - 3 blue counters out of 10 counters in total
Answer: 3/10
Question 33
B1 D) £18 - spends £18 on the game leaving £27, then £9 on the snack leaving £18
Answer: £18
Question 34
B1 E) 81 - each part is 9 pupils, since 5-4=1 part=9, so total = 9 x 9 = 81
Answer: 81
Question 35
B1 C) £43.20 - 64 x 0.75 = 48, then 48 x 0.9 = 43.20
Answer: £43.20
Question 36
B1 C) 8 cm - 6w + 6 = 54 gives w = 8
Answer: 8 cm
Question 37
B1 C) 74 m2 - rectangle area 80 minus triangle area 6 = 74
Answer: 74 m2
Question 38
B1 D) 135 minutes - 84/56=1.5h (90 min) plus 45/60=0.75h (45 min) = 135 min
Answer: 135 minutes
Question 39
B1 D) 18 - 2n+9=45, n=18
Answer: 18
Question 40
B1 D) 180 litres - the extra 45 litres is 1/4 of the tank, so capacity = 45 x 4 = 180