  # Complete Sequences by Filling in Gaps

In this worksheet, students must fill in the gaps in the given number sequences. This content is premium and exclusive to EdPlace subscribers. Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Place Value

Difficulty level:   #### Worksheet Overview

In this worksheet, we will learn how to complete a sequence by filling in the gaps.

Example 1

Complete the sequence by filling in the gaps:

 1 A 15 22 29 B

Look for clues.

Here we look at 15, 22 and 29 and notice that 22 - 15 = 7 and 29 - 22 = 7, so the gap is 7.

The sequence consists of numbers that increase by 7.

A = 1 + 7 = 8

B = 29 + 7 = 36

 1 8 15 22 29 36

Example 2

Complete the sequence by filling in the gaps:

 A 30 B 54 C 78

This is harder.

54 - 30 = 24

78 - 54 = 24 also.

The gap will be half this, i.e. 12.

A = 30 - 12 = 18

B = 30 + 12 = 42

C = 54 + 12 = 66

 18 30 42 54 66 78

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