1. Fractional Blocks
I am learning to use patterns to find fractions of shapes and sets.
Half of a square.
Half of a half a square.

2. Below are twelve tiles. One quarter of these must be coloured red
Below are twelve tiles. One quarter of these must be coloured red. How many tiles must be coloured red?
of 12 = ?
We know that one quarter is half of a half so start by imagining this shape cut in half.
Now imagine one of thee shapes cut in half again.
We have now found half of one half or one quarter of the tiles.
of 12 = 3

3. Below are twenty tiles. Two tenths of these must be coloured red
Below are twenty tiles. Two tenths of these must be coloured red. How many tiles must be coloured red?
Imagine how these tiles could be split into tenths.
of 20 = ?
Use your division facts to check your answer.
(20 ÷ 10 = 2)
We know there are 2 blocks in each tenth. So how many blocks are there in 2 tenths?
of 20 = 4

4. Let’s use our last question to help us work out what of 20 is.
The tiles to the left are still split into tenths.
Think about what we could do to split these tiles into fifths, not tenths.
Use your division facts to check your answer.
(20 ÷ 5 = 4)
You can see that there are four blocks in one fifth.
of 20 = 4

5. of the tiling below must be shaded red. How many tiles is that?
Imagine the tiling pattern below split into thirds.
Use your division facts to check your answer.
(18 ÷ 3 = 6)
You can see that there are 6 tiles in each third.
So two thirds must be twice as much (2 X 6 = 12).
of 18 = 12

6. Now try these questions on your own.
Click again when you have worked out all your answers.
1) of 15 = ?
2) of 16 = ?
3) of 30 = ?
4) of 25 = ?
5) of 32 = ? 5
6) of 16 = ?
7) of 21 = ?
8) of 100 = ?
9) of 30 = ?
10) of 25= ? 4 12 14 10 40 20 25 2 15
Need some more practise? Try Pg22 & 23 of Teacher Tools Fractions, Decimals and Percentages Book Numeracy resources