Percentages of shapes
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Percentages of shapes. Estimating percentages. Estimating percentages. Equivalent fractions, decimals and percentages. Table of equivalences. Table of equivalences. Ordering on a number line. Dominoes. Calculating percentages mentally. Some percentages are easy to work out mentally:. 1%.

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Percentages of shapes

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Percentages of shapes

Percentages of shapes


Estimating percentages

Estimating percentages


Estimating percentages1

Estimating percentages


Equivalent fractions decimals and percentages

Equivalentfractions,decimalsand percentages


Table of equivalences

Table of equivalences


Table of equivalences1

Table of equivalences


Ordering on a number line

Ordering on a number line


Dominoes

Dominoes


Calculating percentages mentally

Calculating percentages mentally

Some percentages are easy to work out mentally:

1%

Divide by 100

To find

10%

Divide by 10

To find

25%

Divide by 4

To find

50%

Divide by 2

To find


Calculating percentages mentally1

Calculating percentages mentally

20%

30%

60%

15%

75%

11%

2%

49%

150%

17.5%

0.5 %

We can use percentages that we know to find other percentages.

Suggest ways to work out:


Spider diagram

Spider diagram


Finding the original amount

Finding the original amount

We can use a unitary method to solve these type of percentage problems. For example,

Christopher’s monthly salary after a 5% pay rise is £1312.50. What was his original salary?

The new salary represents 105% of the original salary.

105% of the original salary = £1312.50

1% of the original salary = £1312.50 ÷ 105

100% of the original salary = £1312.50 ÷ 105 × 100

= £1250

This method has more steps involved but may be easier to remember.


Finding the original amount1

Finding the original amount


Finding the original amount2

Finding the original amount

actual increase

Percentage increase =

× 100%

original amount

actual decrease

Percentage decrease =

× 100%

original amount

Sometimes, we are given an original value and a new value and we are asked to find the percentage increase or decrease.

We can do this using the following formulae:


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