This worksheet builds confidence with percentages, covering conversions between fractions, decimals and percentages, finding a percentage of a quantity, and applying percentage increase and decrease. The worksheet is split into warm-up questions, standard questions and then extension questions to test you.
The concepts it covers:
- "Per cent" means "out of 100" — 45% means 45 out of every 100.
- To convert a percentage to a fraction, write it over 100 and simplify. To convert to a decimal, divide by 100.
- To find a percentage of a quantity, convert the percentage to a fraction or decimal and multiply.
- To find what percentage one quantity is of another, divide the part by the whole and multiply by 100.
- A percentage increase adds the percentage amount on; a percentage decrease takes it off.
What your child will practise:
- Converting between fractions, decimals and percentages using ÷100 / ×100 and simplifying.
- Finding a percentage of a quantity: (percentage ÷ 100) × quantity.
- Finding what percentage a part is of a whole: (part ÷ whole) × 100.
- Applying a percentage increase or decrease by finding the percentage amount, then adding or subtracting it.
- Solving multi-step percentage problems involving discounts, population change and money.
Every section opens with a worked example, and the download includes a full answer key with step-by-step solutions and teaching notes on the mistakes students most commonly make.
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