Consecutive Numbers

Consecutive numbers are simply numbers that follow on in order, one after the other.

1,2,3,4,5 are consecutive, but they don't have to start at 1. They can begin anywhere 8,9,10,11 ..... 123,124,125,126 ...... 6021, 6022, 6023, 6024

 

A favourite type of question about consecutive numbers is:

Find three consecutive numbers that add up to 18

If you think about it, you need 3 numbers, all next to one another which add up to 18.

So all the numbers are going to be around ⅓ of 18, which is 6.

What numbers are each side of 6? 4 and 5 ..... What do they add up to? 5 + 6 +7 = 18

 

Lets try another.

Find five consecutive numbers that add up to 100

So all the numbers are going to be around ⅕ of 100, which is 20.

What two numbers are each side of 20? 18,19, 21 and 22

What do they add up to? 18 + 19 + 20 + 21 + 22 = 100

 

Try this one yourself ... What three consecutive numbers add up to 42?

 

Practice with Rocket Maths from Primary Resources

 





CAT4 / 12 Pus papers