Number Series: Practice Set 2 - Worksheets, Questions and Revision

26 original exam-style questions - 9 pages of questions with a full mark scheme - free printable PDF.

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11+ · Verbal Reasoning

EP.V16B Number Series: Practice Set 2

GL ASSESSMENT GL VR type 16 · Calculators not allowed · about 22 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Each question in this set shows a series of numbers with a question mark standing in for the missing number. Look carefully at the numbers you are given and work out the rule connecting them: it could be a fixed amount added or taken away each time, a fixed multiplier or divisor, a gap between the numbers that grows or shrinks by a steady amount, two separate series running through the same list one term at a time, or a rule that builds each number from the two numbers just before it. Once you have spotted the rule, pick the option, A to E, that carries the series on correctly. Exactly one option fits in each question; the other four are built around mistakes that are easy to make, such as using the wrong step size, stopping a growing gap one step too soon, or losing track of which of two interleaved series you are following. Look at the worked example first, then answer the questions in order - they begin gently and become more demanding as the set goes on.
Worked example. 3, 7, 11, 15, 19, ? A) 20 B) 21 C) 22 D) 23 E) 25 Answer: D) 23. Each number in the series is 4 more than the number before it (add 4 each time): 3, 7, 11, 15, 19. So the next number after 19 is 19 + 4 = 23, which is option D. Option A (20) adds only 1; option B (21) adds 2; option C (22) adds 3; option E (25) adds 6, overshooting the true difference.
1
Find the next number in this series.

5, 11, 17, 23, 29, ?
  • A) 33
  • B) 34
  • C) 35
  • D) 36
  • E) 38
(Total for Question 1 is 1 mark)
2
Find the next number in this series.

3, 10, 17, 24, 31, ?
  • A) 36
  • B) 37
  • C) 38
  • D) 39
  • E) 41
(Total for Question 2 is 1 mark)
3
Find the next number in this series.

50, 44, 38, 32, 26, ?
  • A) 17
  • B) 19
  • C) 20
  • D) 21
  • E) 22
(Total for Question 3 is 1 mark)
4
Find the next number in this series.

2, 6, 18, 54, ?
  • A) 90
  • B) 108
  • C) 156
  • D) 162
  • E) 216
(Total for Question 4 is 1 mark)
5
Find the next number in this series.

128, 64, 32, 16, ?
  • A) 4
  • B) 6
  • C) 8
  • D) 10
  • E) 12
(Total for Question 5 is 1 mark)
6
Find the next number in this series.

6, 15, 24, 33, 42, ?
  • A) 49
  • B) 50
  • C) 51
  • D) 52
  • E) 53
(Total for Question 6 is 1 mark)
7
Find the next number in this series.

1, 3, 6, 10, 15, ?
  • A) 18
  • B) 19
  • C) 20
  • D) 21
  • E) 22
(Total for Question 7 is 1 mark)
8
Find the next number in this series.

1, 8, 27, 64, 125, ?
  • A) 36
  • B) 186
  • C) 206
  • D) 216
  • E) 343
(Total for Question 8 is 1 mark)
9
Find the next number in this series.

5, 9, 16, 26, 39, ?
  • A) 49
  • B) 52
  • C) 54
  • D) 55
  • E) 57
(Total for Question 9 is 1 mark)
10
Find the next number in this series.

80, 75, 67, 56, 42, ?
  • A) 23
  • B) 25
  • C) 26
  • D) 28
  • E) 32
(Total for Question 10 is 1 mark)
11
Find the next number in this series.

4, 5, 9, 14, 23, 37, ?
  • A) 46
  • B) 58
  • C) 60
  • D) 61
  • E) 74
(Total for Question 11 is 1 mark)
12
Find the next number in this series.

8, 13, 10, 15, 12, 17, ?
  • A) 12
  • B) 14
  • C) 15
  • D) 20
  • E) 22
(Total for Question 12 is 1 mark)
13
Find the next number in this series.

4, 50, 9, 44, 14, 38, ?
  • A) 13
  • B) 18
  • C) 19
  • D) 20
  • E) 32
(Total for Question 13 is 1 mark)
14
Find the next number in this series.

6, 90, 12, 80, 24, 70, ?
  • A) 36
  • B) 46
  • C) 48
  • D) 60
  • E) 96
(Total for Question 14 is 1 mark)
15
Find the next number in this series.

3, 8, 18, 38, 78, ?
  • A) 118
  • B) 156
  • C) 157
  • D) 158
  • E) 160
(Total for Question 15 is 1 mark)
16
Find the next number in this series.

10, 17, 31, 59, 115, ?
  • A) 171
  • B) 224
  • C) 226
  • D) 227
  • E) 230
(Total for Question 16 is 1 mark)
17
Find the next number in this series.

4, 7, 13, 25, 49, ?
  • A) 61
  • B) 73
  • C) 93
  • D) 97
  • E) 101
(Total for Question 17 is 1 mark)
18
Find the next number in this series.

1024, 256, 64, 16, ?
  • A) 1
  • B) 2
  • C) 4
  • D) 8
  • E) 12
(Total for Question 18 is 1 mark)
19
Find the next number in this series.

10, 12, 17, 20, 22, 27, ?
  • A) 29
  • B) 30
  • C) 31
  • D) 32
  • E) 33
(Total for Question 19 is 1 mark)
20
Find the next number in this series.

90, 60, 86, 53, 82, 46, ?
  • A) 39
  • B) 75
  • C) 77
  • D) 78
  • E) 79
(Total for Question 20 is 1 mark)
21
Find the next number in this series.

2, 4, 12, 48, 240, ?
  • A) 432
  • B) 1200
  • C) 1400
  • D) 1440
  • E) 1680
(Total for Question 21 is 1 mark)
22
Find the next number in this series.

2, 1, 3, 4, 7, 11, ?
  • A) 4
  • B) 15
  • C) 17
  • D) 18
  • E) 22
(Total for Question 22 is 1 mark)
23
Find the next number in this series.

3, 60, 6, 50, 12, 41, ?
  • A) 18
  • B) 24
  • C) 26
  • D) 33
  • E) 48
(Total for Question 23 is 1 mark)
24
Find the next number in this series.

5, 53, 77, 89, 95, ?
  • A) 98
  • B) 99
  • C) 101
  • D) 104
  • E) 107
(Total for Question 24 is 1 mark)
25
Find the next number in this series.

2, 3, 4, 9, 8, 27, ?
  • A) 12
  • B) 14
  • C) 16
  • D) 32
  • E) 81
(Total for Question 25 is 1 mark)
26
Find the next number in this series.

2, 3, 10, 26, 72, ?
  • A) 98
  • B) 144
  • C) 190
  • D) 196
  • E) 200
(Total for Question 26 is 1 mark)
Mark scheme · EP.V16B Number Series: Practice Set 2

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26