# Find and Apply Sequence Rules (Addition)

In this worksheet, students will identify missing numbers in sequences. These sequences may be going up or down by the same number, different numbers or multiplying by the same number.

Key stage:  KS 2

Curriculum topic:   Verbal Reasoning

Curriculum subtopic:   Number Sequences

Difficulty level:

### QUESTION 1 of 10

Hi number detective, are we glad to see you!

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?

21, 25, 29, 33, ___

Did you get 37?

This sequence is adding 4 each time, so when you add 4 to 33, the next number would be 37.

Which number would be next in this sequence?

9, 10, 12, 15, ___

This is a changing number sequence as the amount the sequence is going up or down in changes with each step.

Can you use your number detective skills to work out what is happening in the sequence below?

2, 4, 8, 16, 32, ___

The correct answer is 64. This is because the numbers are doubling (or multiplying by 2) each time. So 32 x 2 = 64.

It is now your mission to identify the missing numbers in sequences just like the ones that we have just looked at. Watch out for any sneaky changing number sequences!

Write down the relationship between the numbers as you go, it will make it easier to spot a pattern.

Good luck number detective! We are counting on you...

Which rule is the sequence below following?

7, 10, 13, 16, 19

Which rule is the sequence below following?

11, 13, 15, 17, 21

Which number would come next in this sequence?

11, 14, 17, 20, __

Which number would come next in this sequence?

19, 21, 23, 25, __

Which number would come next in this sequence?

19, 21, 23, 25, __

Which number would come next in the sequence below?

Fill in the blank.

Which number would come next in the sequence?

Fill in the blank.

Which number would complete this sequence?

Fill in the blank.

Match the sequences below to their rules.

## Column B

5, 8, 11, 14, 17
9, 13, 17, 21, 25
2, 7, 12, 17, 22

Match the sequences to their missing final numbers.

## Column B

12, 17, 22, 27, 32
37
11, 14, 17, 20, 23
26
15, 19, 23, 27, 31
35
• Question 1

Which rule is the sequence below following?

7, 10, 13, 16, 19

EDDIE SAYS
Hey there number detective! How do we get from the first number in the sequence to the second number? We are adding three each time. The trick here is to count carefully from the first number to the second number. Then we must check that the same rule works to get to the number after that.
• Question 2

Which rule is the sequence below following?

11, 13, 15, 17, 21

EDDIE SAYS
How far apart are each of the numbers in this sequence? The numbers are going up by 2 each time. Which number would come next in this sequence?
• Question 3

Which number would come next in this sequence?

11, 14, 17, 20, __

23
EDDIE SAYS
Did you count carefully from one number to the next? The numbers are getting 3 bigger each time. 3 more than 20 is 23. This makes 23 the answer.
• Question 4

Which number would come next in this sequence?

19, 21, 23, 25, __

27
EDDIE SAYS
How much bigger are the numbers getting each time here? The sequence is adding 2 each time. 25 + 2 = 27 This makes 27 the next number in the sequence.
• Question 5

Which number would come next in this sequence?

19, 21, 23, 25, __

27
EDDIE SAYS
How much bigger are the numbers getting each time here? The sequence is adding 2 each time. 25 + 2 = 27 This makes 27 the next number in the sequence.
• Question 6

Which number would come next in the sequence below?

Fill in the blank.

EDDIE SAYS
Did you notice that the numbers in this sequence were adding 4 each time? We need to add 4 to 22. This gives us the answer of 26.
• Question 7

Which number would come next in the sequence?

Fill in the blank.

EDDIE SAYS
Did your number detective skills spot the rule here? We are adding 3 each time. If we add 3 more to 32 we get 35. Remember to count carefully from one number to the next. We're counting on you!
• Question 8

Which number would complete this sequence?

Fill in the blank.

EDDIE SAYS
How much is being added each time here? If we count carefully, we can see that the numbers are going up by 5 each time. 5 more than 26 is 21.
• Question 9

Match the sequences below to their rules.

## Column B

5, 8, 11, 14, 17
9, 13, 17, 21, 25
2, 7, 12, 17, 22
EDDIE SAYS
How many matches did you spot detective? If we count carefully from each number to the next, we can find each rule.
• Question 10

Match the sequences to their missing final numbers.

## Column B

12, 17, 22, 27, 32
37
11, 14, 17, 20, 23
26
15, 19, 23, 27, 31
35
EDDIE SAYS
The first sequence here was going up in 5s, so 32 + 5 = 37. The second sequence was going up in 3s, so 26 + 3 = 29. The last sequence was going up in 4s, so 31 + 4 = 35. Excellent number sequence work detective!
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