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The numbers 1, 3 and 5 on a purple background
If a number sequence was 1, 3, 5 then the rule would be 'Add 2'.

Number Sequences 2 (Very Easy)

Number sequences appear everywhere in maths and nature. This 11 Plus quiz helps you recognise easy patterns and learn how numbers grow or repeat predictably.

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Fascinating Fact:

If you fold a piece of paper in half repeatedly, the number of layers forms the sequence 1, 2, 4, 8, 16, a practical demonstration of geometric growth.

In 11 Plus Maths, number sequences help pupils spot relationships between terms and predict what comes next. They build logic, reasoning, and confidence in pattern-based problem solving.

  • Pattern: A rule that repeats or changes in a predictable way.
  • Arithmetic Sequence: A sequence that increases or decreases by adding or subtracting the same number.
  • Geometric Growth: When each number is multiplied by the same amount to create the next term.
What is a geometric sequence?

A geometric sequence is a pattern where each term is multiplied by the same number to get the next term, like 2, 4, 8, 16.

What is the difference between a pattern and a sequence?

A pattern can appear in shapes or numbers, but a sequence is a specific list of numbers that follow a rule.

How can I find the next number in a sequence?

Look for the rule connecting each term, such as adding, subtracting, or multiplying, then use that rule to find the next term.

1 .
Find the missing term.
31, 34, 37, X, ...
42
39
41
40
The next term is got from the previous term by adding 3, e.g. 31 + 3 = 34 and so on
2 .
Find the missing term.
14, 22, 30, 38, X, ...
42
44
46
48
The next term is got from the previous term by adding 8, e.g. 14 + 8 = 22 and so on
3 .
Find the missing term.
2, 8, 32, X, 512, ...
64
128
256
96
The next term is got from the previous term by multiplying it with 4, e.g. 2 × 4 = 8 and so on
4 .
Find the missing term.
..., 23, 29, 35, X, ...
41
42
43
44
The next term is got from the previous term by adding 6, e.g. 23 + 6 = 29 and so on
5 .
Find the missing term.
1, 5, 25, X, ...
50
75
100
125
The next term is got from the previous term by multiplying by 5, e.g. 1 × 5 = 5 and so on
6 .
Find the missing term.
X, 55, 76, 97, 118, ...
139
137
34
32
The next term is got from the previous term by adding 21, e.g. 55 + 21 = 76 and so on.
Notice that the number we are after comes at the start of the sequence
7 .
Find the missing term.
48, 41, 34, X, ...
28
27
26
25
The next term is got from the previous term by subtracting 7, e.g. 48 - 7 = 41 and so on
8 .
Find the missing term.
42, 51, 60, 69, X, ...
78
79
80
81
The next term is got from the previous term by adding 9, e.g. 42 + 9 = 51 and so on
9 .
Find the missing term.
2, 15, 28, 41, X, ...
46
48
52
54
The next term is got from the previous term by adding 13, e.g. 2 + 13 = 15 and so on
10 .
Find the missing term.
17, 6, -5, -16, X, ...
-34
-27
-24
-21
The next term is got from the previous term by subtracting 11, e.g. 17 - 11 = 6 and so on
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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