is the increase when referencing something that is sold for more than the cost price given as a percentage of the original amount

is the decrease when referencing something that is sold for less than the cost price given as a percentage of the original amount

Percentage profit and loss

Maths

Checking and securing understanding of finding a percentage

Checking and securing understanding of percentage increase

Checking and securing understanding of percentage decrease

Simple and compound interest

Simple interest calculations

Simple interest calculations with technology

Compound interest calculations

Compound interest calculations with technology

Problem solving with percentages

The ratio unit will cover comparing fractions, percentages and ratios and being able to move fluently between them. This unit ensures pupils have had the opportunity to work with finding the percentage of an amount and the opportunity to calculate interest.

In the prior unit, pupils developed the skills to calculate a given percentage of an amount. In this unit, these skills are extended to performing simple and compound interest calculations.

In this unit pupils will learn how to perform simple and compound interest calculations using percentages.

Percentages

If I increase £45 to £54, what is the percentage gain? 

If I increase £45 to £99, what is the percentage gain? 

If I increase £14 to £56, what is the percentage gain? 

If I decrease £90 to £18, what is the percentage loss? 

If I decrease £88 to £66, what is the percentage loss? 

Match the following so that the number on the right reflects a 20% percentage loss on the number on the left.

If a number increases by 70% and is now 85, what was it originally? 

A mathematician celebrates their shares increasing by 12% which are now worth £100.80. How much did they originally invest?

If a number increases by 82% and is now 163.8, what was it originally? 

Percentage profit and loss

Lesson outcome