This is a Sutton/SET-style multiple choice mathematics mock test (Mock 5). 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 5 - 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 538 + 276.
A) 714
B) 814
C) 824
D) 804
E) 844
(Total for Question 1 is 1 mark)
2
Work out 804 - 469.
A) 325
B) 335
C) 345
D) 355
E) 365
(Total for Question 2 is 1 mark)
3
Work out 9 x 7.
A) 54
B) 72
C) 63
D) 56
E) 49
(Total for Question 3 is 1 mark)
4
What is 208 divided by 13?
A) 13
B) 15
C) 16
D) 17
E) 18
(Total for Question 4 is 1 mark)
5
Round 8,362 to the nearest hundred.
A) 8,300
B) 8,360
C) 8,400
D) 8,350
E) 8,000
(Total for Question 5 is 1 mark)
6
Work out 3/8 of 96.
A) 12
B) 24
C) 36
D) 60
E) 72
(Total for Question 6 is 1 mark)
7
Find 65% of 240.
A) 120
B) 144
C) 150
D) 156
E) 168
(Total for Question 7 is 1 mark)
8
95 pounds is shared between Bilal and Chioma in the ratio 3:2. How much does Bilal get?
A) 38 pounds
B) 47 pounds
C) 57 pounds
D) 65 pounds
E) 76 pounds
(Total for Question 8 is 1 mark)
9
A rectangle has length 17 cm and width 8 cm. What is its perimeter?
A) 25 cm
B) 33 cm
C) 42 cm
D) 50 cm
E) 136 cm
(Total for Question 9 is 1 mark)
10
A triangle has a base of 16 cm and a height of 11 cm. What is its area?
A) 27 cm2
B) 84 cm2
C) 176 cm2
D) 88 cm2
E) 92 cm2
(Total for Question 10 is 1 mark)
11
The sequence 9, 17, 25, 33, ... continues with the same rule. What is the next term?
A) 39
B) 40
C) 41
D) 42
E) 49
(Total for Question 11 is 1 mark)
12
A bus leaves Wallington at 10:38 and arrives in Sutton at 11:22. How long does the journey take?
A) 34 minutes
B) 42 minutes
C) 44 minutes
D) 50 minutes
E) 54 minutes
(Total for Question 12 is 1 mark)
13
Which of these fractions is the smallest: 5/8, 7/12, 3/5, 11/20, 2/3?
A) 5/8
B) 7/12
C) 3/5
D) 11/20
E) 2/3
(Total for Question 13 is 1 mark)
14
Find the highest common factor of 54 and 72.
A) 6
B) 9
C) 18
D) 27
E) 36
(Total for Question 14 is 1 mark)
15
Find the mean of 14, 19, 8, 23 and 26.
A) 16
B) 17
C) 18
D) 19
E) 20
(Total for Question 15 is 1 mark)
16
Two angles lie on a straight line. One of the angles is 84 degrees. What is the other angle?
A) 6 degrees
B) 86 degrees
C) 96 degrees
D) 106 degrees
E) 116 degrees
(Total for Question 16 is 1 mark)
17
Which of these numbers is prime: 87, 91, 93, 97, 99?
A) 87
B) 91
C) 93
D) 97
E) 99
(Total for Question 17 is 1 mark)
18
What is the lowest common multiple of 6 and 10?
A) 2
B) 16
C) 30
D) 60
E) 90
(Total for Question 18 is 1 mark)
19
If 5x - 8 = 42, what is the value of x?
A) 8
B) 9
C) 10
D) 12
E) 50
(Total for Question 19 is 1 mark)
20
Find the median of these numbers: 34, 8, 21, 39, 15, 8, 29.
A) 8
B) 15
C) 21
D) 22
E) 29
(Total for Question 20 is 1 mark)
21
A theatre in Worcester Park has 14 rows of 26 seats. On Saturday, 3/7 of the seats are empty. How many seats are filled?
A) 156
B) 182
C) 208
D) 260
E) 312
(Total for Question 21 is 1 mark)
22
Farah buys 4 pens at 1.25 pounds each and a ruler for 0.65 pounds. She pays with a 10 pound note. How much change does she get?
A) 4.35 pounds
B) 4.45 pounds
C) 4.75 pounds
D) 5.00 pounds
E) 5.65 pounds
(Total for Question 22 is 1 mark)
23
In a school, the ratio of Year 9 to Year 10 pupils is 7:8. There are 45 more Year 10 pupils than Year 9 pupils. How many Year 9 pupils are there?
A) 45
B) 280
C) 315
D) 350
E) 360
(Total for Question 23 is 1 mark)
24
A number is thought of. It is trebled, then 14 is subtracted, and the result is 61. What was the original number?
A) 20
B) 24
C) 25
D) 26
E) 29
(Total for Question 24 is 1 mark)
25
A rectangular garden is 16 m by 10 m. A square vegetable patch of side 4 m is removed from one corner. What is the remaining area?
A) 135 m2
B) 140 m2
C) 144 m2
D) 151 m2
E) 160 m2
(Total for Question 25 is 1 mark)
26
A shop reduces a 240 pound laptop by 25% in a sale, then a further 10% off the new sale price in a clearance event. What is the final price?
A) 156 pounds
B) 162 pounds
C) 168 pounds
D) 180 pounds
E) 216 pounds
(Total for Question 26 is 1 mark)
27
A three-digit number has digits that sum to 15. The hundreds digit is twice the tens digit. The units digit is 1 less than the tens digit. What is the number?
A) 645
B) 843
C) 754
D) 862
E) 921
(Total for Question 27 is 1 mark)
28
A number machine takes a number, subtracts 6, then multiplies the result by 4. The output is 68. What number went into the machine?
A) 11
B) 17
C) 22
D) 23
E) 40
(Total for Question 28 is 1 mark)
29
Idris, Kofi and Lucia share a sum of money. Kofi gets 3 times as much as Idris. Lucia gets 12 pounds more than Kofi. Altogether they share 138 pounds. How much does Idris get?
A) 16 pounds
B) 18 pounds
C) 19 pounds
D) 21 pounds
E) 54 pounds
(Total for Question 29 is 1 mark)
30
A four-digit number uses each of the digits 3, 4, 6 and 9 exactly once. It is odd, 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) 9634
B) 9463
C) 9643
D) 6493
E) 4963
(Total for Question 30 is 1 mark)
Mark scheme · EP.T60 Sutton/SET-Style Maths Mock 5
Question 1
B1 B) 814 - 538+276=814
Answer: 814
Question 2
B1 B) 335 - 804-469=335
Answer: 335
Question 3
B1 C) 63 - 9x7=63
Answer: 63
Question 4
B1 C) 16 - 208/13=16
Answer: 16
Question 5
B1 C) 8,400 - the tens digit is 6, so round up
Answer: 8,400
Question 6
B1 C) 36 - 96/8=12, 12x3=36
Answer: 36
Question 7
B1 D) 156 - 10% of 240=24, 60%=144, 5%=12, 65%=156
Answer: 156
Question 8
B1 C) 57 pounds - 95/5=19 per part, Bilal has 3 parts = 57
Answer: 57 pounds
Question 9
B1 D) 50 cm - 2 x (17+8) = 50
Answer: 50 cm
Question 10
B1 D) 88 cm2 - (16x11)/2 = 88
Answer: 88 cm2
Question 11
B1 C) 41 - the term-to-term rule is +8, so 33+8=41
Answer: 41
Question 12
B1 C) 44 minutes - 10:38 to 11:00 is 22 minutes, plus 22 minutes = 44
Answer: 44 minutes
Question 13
B1 D) 11/20 - converting to one-hundred-and-twentieths: 5/8=75/120, 7/12=70/120, 3/5=72/120, 11/20=66/120, 2/3=80/120, so 11/20 is smallest
Answer: 11/20
Question 14
B1 C) 18 - 54=2x3x3x3, 72=2x2x2x3x3, common factors 2x3x3=18
Answer: 18
Question 15
B1 C) 18 - (14+19+8+23+26)/5 = 90/5 = 18
Answer: 18
Question 16
B1 C) 96 degrees - 180-84=96
Answer: 96 degrees
Question 17
B1 D) 97 - 97 has no factors other than 1 and itself
Answer: 97
Question 18
B1 C) 30 - multiples of 6: 6,12,18,24,30; multiples of 10: 10,20,30; lowest common is 30
Answer: 30
Question 19
B1 C) 10 - 5x=50, x=10
Answer: 10
Question 20
B1 C) 21 - sorted: 8,8,15,21,29,34,39, the middle (4th of 7) value is 21
Answer: 21
Question 21
B1 C) 208 - total=14x26=364, empty=3/7x364=156, filled=364-156=208
Answer: 208
Question 22
B1 A) 4.35 pounds - 4x1.25=5.00, +0.65=5.65, 10-5.65=4.35
Answer: 4.35 pounds
Question 23
B1 C) 315 - the difference of 1 part is 45, so Year 9 (7 parts) = 7x45=315
Answer: 315
Question 24
B1 C) 25 - reverse: 61+14=75, 75/3=25
Answer: 25
Question 25
B1 C) 144 m2 - 16x10=160, minus 4x4=16, 160-16=144
Answer: 144 m2
Question 26
B1 B) 162 pounds - 240x0.75=180, 180x0.9=162
Answer: 162 pounds
Question 27
B1 B) 843 - tens=4, hundreds=8, units=3, digit sum 8+4+3=15
Answer: 843
Question 28
B1 D) 23 - reverse: 68/4=17, 17+6=23
Answer: 23
Question 29
B1 B) 18 pounds - let Idris=x, Kofi=3x, Lucia=3x+12; x+3x+3x+12=138, 7x=126, x=18
Answer: 18 pounds
Question 30
B1 C) 9643 - only 3 and 9 are odd, so the units digit must be one of them; keeping 9 out of the units place and arranging 9,6,4 in descending order for the remaining places gives the largest number, with 9 (thousands) greater than 6 (hundreds)