GCSE Maths Percentages: lesson and practice questions

By the end of this chapter you will be able to

• Explain a percentage as a number of parts per hundred and change between fractions, decimals and percentages
• Find a percentage of an amount with and without a calculator
• Write one quantity as a percentage of another and compare quantities using percentages
• Increase and decrease an amount by a percentage using a multiplier, including percentages greater than 100%
• Work out percentage change, profit and loss
• Solve reverse percentage (original value) problems
• Calculate simple interest and compound interest
• Solve repeated percentage change problems: growth and decay, depreciation, and find the rate or the number of years (Higher)

You should already know

• Fractions, equivalent fractions and fractions of an amount (Chapter 3)
• Multiplying and dividing by 10 and 100 (Chapter 1)
• Decimals and rounding (Chapters 1 and 4)

Where this leads

• Ratio and proportion (Chapter 15)
• Compound measures (Chapter 16)
• Pie charts and averages (Chapter 24)
• Exponential graphs and growth and decay (Chapter 25)