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Number sequences are lists of numbers that follow patterns. For example, triangle numbers increase by adding 1 then 2 then 3 etc... and square numbers increase by adding 3 then 5 then 7 etc... Learning to spot the patterns enables you to know which numbers are going to come next in any given sequence.

1.

Can you find the rule of this sequence? 21, 42, 63, 84

The numbers increase in 11s

The numbers increase in 19s

The numbers increase in 21s

The numbers increase in 25s

This sequence is the 21 times table

2.

Can you find the rule of this sequence? 30, 45, 60, 75, 90

The numbers increase in 11s

The numbers increase in 15s

The numbers increase in 19s

The numbers increase in 21s

Each number (except the first) is 15 more than the ne before it

3.

What is the next number of the sequence? 12, 9, 6, 3, 0

-3

3

0.3

-6

The numbers are decreasing in 3s

4.

What is the next number of the sequence? 0.5, 1, 1.5, 2

1

2.5

3

3.5

The numbers are increasing by 0.5 each time

5.

What is the next number of the sequence? 1, 3, 6, 10, 15, 21

26

27

28

30

Number 2 is added, then 3, then 4, then 5 and so on

6.

What do we call the numbers in the sequence in question 5?

Multiples

Square numbers

Prime numbers

Triangular numbers

The sequence of triangular numbers goes up much more quickly than an ordinary sequence. Square numbers go up even more quickly

7.

The difference between two even numbers is what?

Sometimes odd and sometimes even

Always odd

Always even

It always ends in 0

Even - even = even

8.

The product of two even numbers is what?

Sometimes odd and sometimes even

Always odd

Always even

It always ends in 0

A product is the result of multiplying two or more numbers

9.

The product of two odd numbers is what?

Sometimes odd and sometimes even

Always odd

Always even

It always ends in 0

The product of two evens is always even and the product of two odds is always odd

10.

The product of an even number and an odd number is what?

Sometimes odd and sometimes even

Always odd

Always even

It always ends in 0

Even x even = even

Even x odd = even

Odd x even = even

Odd x odd = odd

Even x odd = even

Odd x even = even

Odd x odd = odd