 # Identify Sequence Types and Find Missing Numbers

In this worksheet, students will identify missing numbers in sequences of odd and even numbers, as well as times table sequences. Key stage:  KS 2

Curriculum topic:   Verbal Reasoning

Curriculum subtopic:   Number Sequences

Difficulty level:   ### QUESTION 1 of 10

Number detective, you’ve arrived just in time!

We’re faced with a new puzzle and we hope you can help us solve it.

Can you work out which number comes next in this sequence?

6, 8, 10, 12, 14, __

Did you get 16?

This is an even number sequence and the next even number after 14 is 16.

Even numbers are numbers which end in 2, 4, 6, 8 or 0.

Which number is missing from this sequence?

3, 5, 7, __ , 11, 13

This is a sequence of odd numbers and the missing odd number, between 7 and 11, is 9.

Odd numbers are numbers which end in 1, 3, 5, 7 or 9.

Sometimes, sequences may go up or down in multiples from your times tables.

Which times table does this sequence form part of and can you figure out which number comes next?

3, 6, 9, 12, __

This is the three times table and the missing number is 15.

It’s now your turn to find the missing numbers.

Good luck number detective!

We are counting on you...

What type of numbers are the numbers below?

15             7                9               23              81

Odd numbers

Even numbers

What do we call all of the numbers below?

12               26               94               108                  50

Odd numbers

Even numbers

Which number would come next in this sequence?

44, 46, 48, 50, __

Which number would come next in the following sequence?

12, 16, 20, 24, 28, __

Which number is missing from this sequence?

8, 12, 16, __ , 24

Which number is missing from the sequence below?

15, 18, __ , 24, 27

Which number is missing from the following sequence?

8, 16, 24, __ , 40

Which number is missing in this sequence?

9, 12, 15, __ , 21

Match each sequence to its rule.

## Column B

21, 24, 27, 30
Going up in 4s
70, 80, 90, 100
Going up in 3s
16, 20, 24, 28
Going up in 10s

Match the sequences below to their rules.

## Column B

32, 40, 48, 56
Going up in 8s
55, 60, 65, 70
Going up in 5s
51, 53, 55, 57
Going up in odd numbers
• Question 1

What type of numbers are the numbers below?

15             7                9               23              81

Odd numbers
EDDIE SAYS
Did you notice that all of these numbers end in a 1, 3, 5, 7 or 9? These numbers are called odd numbers. Another way to remember them is that they cannot be divided by 2 or never appear in the 2 times table.
• Question 2

What do we call all of the numbers below?

12               26               94               108                  50

Even numbers
EDDIE SAYS
These numbers are called even numbers. Even numbers end in a 0, 2, 4, 6 or 8. They also appear in the 2 times table or can be divided by 2.
• Question 3

Which number would come next in this sequence?

44, 46, 48, 50, __

52
EDDIE SAYS
This is an even number sequence where the numbers are going up in 2s. The next even number after 50 is 52. Check carefully what the numbers are going up in each time and follow this rule.
• Question 4

Which number would come next in the following sequence?

12, 16, 20, 24, 28, __

32
EDDIE SAYS
Did you work out which times table this sequence was following? It is going up in 4s. The next number in the 4 times table after 28 is 32.
• Question 5

Which number is missing from this sequence?

8, 12, 16, __ , 24

20
EDDIE SAYS
This was a challenge as the missing number wasn't at the end this time! The numbers are jumping up in the 4 times table and the next number in the 4 times table after 16 is 20. You could also choose to work backwards from 24 and think which number comes before this in the 4 times table.
• Question 6

Which number is missing from the sequence below?

15, 18, __ , 24, 27

21
EDDIE SAYS
Did you notice that these numbers were in the 3 times table? This means that we need to find the number that's 3 more than 18. This makes the correct answer 21. Keep up the hard work number detective!
• Question 7

Which number is missing from the following sequence?

8, 16, 24, __ , 40

32
EDDIE SAYS
How much is the sequence going up by each time? This sequence is going up in 8s. The next number in the 8 times table after 24 is 32. A quick way to add 8 is to add 10 and then take 2 off.
• Question 8

Which number is missing in this sequence?

9, 12, 15, __ , 21

18
EDDIE SAYS
Did you notice that this sequence uses numbers from the 3 times table? The next number in the 3 times table after 15 is 18.
• Question 9

Match each sequence to its rule.

## Column B

21, 24, 27, 30
Going up in 3s
70, 80, 90, 100
Going up in 10s
16, 20, 24, 28
Going up in 4s
EDDIE SAYS
How many matches did you spot? Make sure you practise your 3, 4 and 10 times tables to spot these sequences even quicker. Top tip - anything in the 10 times table always ends in a 0.
• Question 10

Match the sequences below to their rules.

## Column B

32, 40, 48, 56
Going up in 8s
55, 60, 65, 70
Going up in 5s
51, 53, 55, 57
Going up in odd numbers
EDDIE SAYS
How many matches did you spot? Remember that anything in the 5 times table always ends in a 5 or a 0. Excellent work number detective!
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