These are common questions that will pop up in tests and when your child is learning about fractions and percentages in more depth. It is useful to link these questions with real life scenarios, for example, when they are buying something in a sale with 15% off. This helps children to see how they can use their Numeracy skills in everyday life not just for a test!

**Finding a fraction of an amount:**

Children may start to come across this method in Year 4.

The top of a fraction is called the numerator and the bottom of the fraction is called the denominator.

The rule you need to use is: divide the whole number by the denominator and then multiply by the numerator.

e.g. Find ¾ of 8 = 8 (whole number) ÷ 4 (denominator) = 2 then 2 x 3 (numerator) = 6

Find 2/8 of 48 = 48 ÷ 8 = 6 then 6 x 2 = 12

Find 5/6 of £60 = £60 ÷ 6 = £10 then £10 x 5 = £50

Have a go at these with your child:

Find a 1/4 of 800, Find 3/4 of 200, Find 2/7 of 49, Find 3/6 of 36.

**Finding a percentage of an amount:**

Children will start to learn about percentages in Year 5. The basic rules with percentages are:

To find 10% = divide by 10

It is really important to reinforce with your child that this only works when finding 10% as often children think they can divide by 5 to find 5% or divide by 20 to find 20% etc.

To find 5% = divide by 10 to find 10% then halve

To find 20% = divide by 10 to find 10% then double

To find 50% = ½ – halve or divide by 2

To find 1% = divide by 100

To find 15% = divide by 10 to find 10% then halve to find 5% then add together 10% and 5% amounts

To find 30% = divide by 10 to find 10% then multiply by 3

To find 40% = divide by 10 to find 10% then multiply by 4 (and so on for multiples of 10)

For more help dividing by 10 and 100, check out this blog post.

Example 1: Find 10% of 200 – Rule divide by 10 = 200 ÷ 10 = 20

Example 2: Find 15% of 120 – Rule: divide by 10 to find 10% then halve to find 5% then add together 10% and 5% amounts = 120 ÷ 10 = 12, then half of 12 = 6, then 12 + 6 = 18.

Example 3: Find 40% of 80 – Rule: divide by 10 to find 10% then multiply by 4 = 80 ÷ 10 = 8, then 8 x 4 = 32.

Have a go at these with your child:

Find 10% of 360, Find 50% of 600, Find 5% of 800, Find 30% of 700, Find 55% of 500, Find 15% of 60.

Check out my older blog posts for help with mental maths…

How to help your child with mental maths – Part 1

How to help your child with mental maths – Part 2

How to help your child with mental maths – Part 3

**Would you like more help for your child with times tables? **

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