This is a Sutton/SET-style multiple choice mathematics mock test (Mock 4). Time allowed: 40 minutes. There are 30 questions, each worth 1 mark (30 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 4 - 30 questions - 40 minutes - no calculator. Choose the single best answer from A to E for each question and record it on your answer sheet. Q1: Work out 427 + 358.
A) 675
B) 725
C) 785
D) 795
E) 835
(Total for Question 1 is 1 mark)
2
Work out 903 - 458.
A) 435
B) 445
C) 545
D) 455
E) 465
(Total for Question 2 is 1 mark)
3
Work out 7 x 8.
A) 48
B) 63
C) 42
D) 49
E) 56
(Total for Question 3 is 1 mark)
4
What is 168 divided by 12?
A) 14
B) 16
C) 12
D) 13
E) 18
(Total for Question 4 is 1 mark)
5
Round 5,738 to the nearest hundred.
A) 5,800
B) 5,730
C) 5,750
D) 5,700
E) 6,000
(Total for Question 5 is 1 mark)
6
Work out 2/3 of 96.
A) 32
B) 48
C) 64
D) 72
E) 66
(Total for Question 6 is 1 mark)
7
Find 45% of 180.
A) 72
B) 81
C) 90
D) 76
E) 85
(Total for Question 7 is 1 mark)
8
£84 is shared between Priya and Jamal in the ratio 3:4. How much does Jamal get?
A) £48
B) £36
C) £42
D) £60
E) £56
(Total for Question 8 is 1 mark)
9
A rectangle has length 13 cm and width 6 cm. What is its perimeter?
A) 19 cm
B) 32 cm
C) 25 cm
D) 78 cm
E) 38 cm
(Total for Question 9 is 1 mark)
10
A triangle has a base of 14 cm and a height of 9 cm. What is its area?
A) 23 cm2
B) 60 cm2
C) 65 cm2
D) 63 cm2
E) 126 cm2
(Total for Question 10 is 1 mark)
11
The sequence 6, 13, 20, 27, ... continues with the same rule. What is the next term?
A) 34
B) 33
C) 35
D) 32
E) 41
(Total for Question 11 is 1 mark)
12
A bus leaves Epsom at 09:47 and arrives in Kingston at 10:35. How long does the journey take?
A) 38 minutes
B) 42 minutes
C) 48 minutes
D) 52 minutes
E) 58 minutes
(Total for Question 12 is 1 mark)
13
Which of these fractions is the smallest?
A) 3/5
B) 4/9
C) 7/15
D) 11/20
E) 5/9
(Total for Question 13 is 1 mark)
14
Find the highest common factor of 36 and 48.
A) 6
B) 4
C) 18
D) 24
E) 12
(Total for Question 14 is 1 mark)
15
Find the mean of 7, 12, 15, 18 and 23.
A) 13
B) 14
C) 16
D) 15
E) 17
(Total for Question 15 is 1 mark)
16
Two angles lie on a straight line. One of the angles is 73 degrees. What is the other angle?
A) 17 degrees
B) 107 degrees
C) 97 degrees
D) 117 degrees
E) 127 degrees
(Total for Question 16 is 1 mark)
17
Which of these numbers is prime: 51, 57, 61, 63, 65?
A) 61
B) 51
C) 57
D) 63
E) 65
(Total for Question 17 is 1 mark)
18
What is the lowest common multiple of 8 and 12?
A) 4
B) 48
C) 96
D) 24
E) 20
(Total for Question 18 is 1 mark)
19
If 4x + 9 = 41, what is the value of x?
A) 6
B) 7
C) 8
D) 10
E) 32
(Total for Question 19 is 1 mark)
20
Find the median of these numbers: 16, 9, 22, 5, 31, 16, 27.
A) 5
B) 18
C) 22
D) 27
E) 16
(Total for Question 20 is 1 mark)
21
A cinema in Kingston has 16 rows of 22 seats. On Friday, 5/8 of the seats are filled. How many seats are empty?
A) 220
B) 176
C) 88
D) 132
E) 242
(Total for Question 21 is 1 mark)
22
Zainab buys 3 bars of chocolate at £1.15 each and a magazine for £2.85. She pays with a £10 note. How much change does she get?
A) £3.70
B) £4.00
C) £3.80
D) £6.55
E) £6.30
(Total for Question 22 is 1 mark)
23
In a school, the ratio of Year 7 to Year 8 pupils is 5:6. There are 33 more Year 8 pupils than Year 7 pupils. How many Year 7 pupils are there?
A) 150
B) 165
C) 180
D) 198
E) 33
(Total for Question 23 is 1 mark)
24
A number is thought of. It is doubled, then 11 is subtracted, and the result is 47. What was the original number?
A) 18
B) 23
C) 25
D) 27
E) 29
(Total for Question 24 is 1 mark)
25
A rectangular playground is 15 m by 9 m. A square sandpit of side 3 m is removed from one corner. What is the remaining area?
A) 119 m2
B) 129 m2
C) 126 m2
D) 123 m2
E) 135 m2
(Total for Question 25 is 1 mark)
26
A shop reduces a £150 television by 20% in a sale, then a further 10% off the new sale price in a clearance event. What is the final price?
A) £105
B) £120
C) £135
D) £108
E) £84
(Total for Question 26 is 1 mark)
27
A three-digit number has digits that sum to 17. The hundreds digit is twice the tens digit. The units digit is 1 more than the tens digit. What is the number?
A) 845
B) 835
C) 753
D) 824
E) 935
(Total for Question 27 is 1 mark)
28
A number machine takes a number, adds 5, then multiplies the result by 3. The output is 54. What number went into the machine?
A) 18
B) 22
C) 23
D) 12
E) 13
(Total for Question 28 is 1 mark)
29
Freya, Osei and Nia share a sum of money. Osei gets twice as much as Freya. Nia gets £15 more than Osei. Altogether they share £115. How much does Freya get?
A) £16
B) £18
C) £20
D) £23
E) £25
(Total for Question 29 is 1 mark)
30
A four-digit number uses each of the digits 2, 3, 5 and 7 exactly once. It is even, and the digit in the thousands place is greater than the digit in the hundreds place. What is the largest possible number that fits these rules?
A) 7523
B) 7532
C) 7352
D) 5372
E) 3752
(Total for Question 30 is 1 mark)
Mark scheme · EP.T32 Sutton/SET-Style Maths Mock 4
Question 1
B1 C) 785 - 427 + 358 = 785
Answer: 785
Question 2
B1 B) 445 - 903 - 458 = 445
Answer: 445
Question 3
B1 E) 56 - 7 x 8 = 56
Answer: 56
Question 4
B1 A) 14 - 168 / 12 = 14
Answer: 14
Question 5
B1 D) 5,700 - the tens digit is 3, so round down
Answer: 5,700
Question 6
B1 C) 64 - 96/3=32, 32x2=64
Answer: 64
Question 7
B1 B) 81 - 10% of 180=18, 40%=72, 5%=9, 45%=81
Answer: 81
Question 8
B1 A) £48 - 84/7=12 per part, Jamal has 4 parts = 48
Answer: £48
Question 9
B1 E) 38 cm - 2 x (13+6) = 38
Answer: 38 cm
Question 10
B1 D) 63 cm2 - (14x9)/2 = 63
Answer: 63 cm2
Question 11
B1 A) 34 - the term-to-term rule is +7, so 27+7=34
Answer: 34
Question 12
B1 C) 48 minutes - 09:47 to 10:00 is 13 minutes, plus 35 minutes = 48
Answer: 48 minutes
Question 13
B1 B) 4/9 - converting to one-hundred-and-eightieths: 3/5=108/180, 4/9=80/180, 7/15=84/180, 11/20=99/180, 5/9=100/180, so 4/9 is smallest
Answer: 4/9
Question 14
B1 E) 12 - 36=2x2x3x3, 48=2x2x2x2x3, common factors 2x2x3=12
Answer: 12
Question 15
B1 D) 15 - (7+12+15+18+23)/5 = 75/5 = 15
Answer: 15
Question 16
B1 B) 107 degrees - 180-73=107
Answer: 107 degrees
Question 17
B1 A) 61 - 61 has no factors other than 1 and itself
Answer: 61
Question 18
B1 D) 24 - multiples of 8: 8,16,24; multiples of 12: 12,24; lowest common is 24
Answer: 24
Question 19
B1 C) 8 - 4x=32, x=8
Answer: 8
Question 20
B1 E) 16 - sorted: 5,9,16,16,22,27,31, the middle (4th of 7) value is 16
B1 A) £3.70 - 3x1.15=3.45, +2.85=6.30, 10-6.30=3.70
Answer: £3.70
Question 23
B1 B) 165 - the difference of 1 part is 33, so Year 7 (5 parts) = 5x33=165
Answer: 165
Question 24
B1 E) 29 - reverse: 47+11=58, 58/2=29
Answer: 29
Question 25
B1 C) 126 m2 - 15x9=135, minus 3x3=9, 135-9=126
Answer: 126 m2
Question 26
B1 D) £108 - 150x0.8=120, 120x0.9=108
Answer: £108
Question 27
B1 A) 845 - tens=4, hundreds=8, units=5, digit sum 8+4+5=17
Answer: 845
Question 28
B1 E) 13 - reverse: 54/3=18, 18-5=13
Answer: 13
Question 29
B1 C) £20 - let Freya=f, Osei=2f, Nia=2f+15; f+2f+2f+15=115, 5f=100, f=20
Answer: £20
Question 30
B1 B) 7532 - only 2 is even so it must be last; the remaining digits 7,5,3 placed in descending order give the largest number, and 7 (thousands) > 5 (hundreds)