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Number Sequences (Year 3)
152 is the next number of the sequence 112, 122, 132, 142.

Number Sequences (Year 3)

Number sequences Year 3 introduces patterns in numbers. Pupils practise spotting, continuing, and creating sequences, building key skills for later problem solving in maths.

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Fascinating Fact:

Odd numbers (1, 3, 5, 7, 9) and even numbers (2, 4, 6, 8, 10) are both types of sequences.

In KS2 Maths, Year 3 number sequences focus on identifying and continuing patterns, such as counting in steps of 2, 5, or 10. Pupils also learn to predict missing numbers.

  • Sequence: A set of numbers that follow a specific pattern or rule.
  • Odd Number: A number not divisible by 2, such as 1, 3, or 5.
  • Even Number: A number divisible by 2, such as 2, 4, or 6.
What is a number sequence in Year 3 maths?

A number sequence is a list of numbers that follow a rule, such as counting by twos (2, 4, 6, 8) or counting backwards.

How do you find the rule in a number sequence?

To find the rule, look at the difference between numbers. For example, in 3, 6, 9, 12 the rule is “add 3.”

Why are number sequences important?

Number sequences are important because they help pupils recognise patterns, predict numbers, and prepare for algebra and problem solving later in maths.

1 .
How do we know a number is odd?
It ends in 6
It ends in 0, 2, 4, 6 or 8
It ends in 1, 3, 5, 7 or 9
It ends in 2 or 4
If odd numbers are divided by 2 there will be a remainder or fraction left over
2 .
Can you find the rule of this sequence? 5, 10, 15, 20, 25, 30
The numbers increase in 2s
The numbers increase in 3s
The numbers increase in 5s
The numbers increase in 10s
This sequence is the 5 times table
3 .
If you add two odd numbers together the answer is always what?
An odd number
An even number
A number ending in 5
A number ending in 2
Even + even = even
Even + odd = odd
Odd + even = odd
Odd + odd = even
4 .
Which sequence is odd?
4, 6, 8, 10, 12
30, 32, 34, 36, 38
17, 21, 25, 29, 33
12, 20, 28, 36, 44
All the numbers end in 1, 3, 5, 7 or 9 so it must be odd
5 .
Can you find the rule of this sequence? 3, 13, 23, 33
The numbers increase in 2s
The numbers increase in 3s
The numbers increase in 5s
The numbers increase in 10s
Each number (except the first) is 10 higher than the one before it
6 .
Which is the next even number after 148?
158
150
160
152
148 + 2 = 150
7 .
If you add two even numbers together the answer is always what?
An odd number
An even number
A number ending in 2
A number ending in 0
2 even numbers always make an even number but an even with an odd will make an odd number
8 .
What is the next number of the sequence? 20, 120, 220, 320
300
350
400
420
The numbers are increasing by 100
9 .
What are the next two numbers of the sequence? 3, 6, 9, 12
15, 18
13, 14
15, 17
15, 20
The numbers are increasing in 3s
10 .
How do we know a number is even?
It ends in 0, 2, 4, 6 or 8
It ends in 1, 3, 5, 7 or 9
It ends in 5
It ends in 9
All the even numbers can be divided by 2 and give a whole number
You can find more about this topic by visiting BBC Bitesize - What is a number sequence?

Author:  Amanda Swift (Primary School Teacher & Educational Content Developer)

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