Year 10 Percentages Worksheets (GCSE) | Printable PDFs
Year 10 Percentages worksheets for Year 10 Maths (Key Stage 4, GCSE). Students aged 14–15 learn to solve complex percentage problems involving reverse percentages, percentage change, compound growth and depreciation, repeated percentage change, and percentage multipliers. These skills are essential for GCSE Mathematics and are frequently tested in real-life contexts involving finance, population growth and depreciation. To practise percentage change and percentage multipliers, see Year 9 Percentages Worksheets.
There are two Percentage Problems worksheets below, containing challenging multi-step questions that require careful reasoning and problem-solving. They provide excellent preparation for higher GCSE percentage questions and help students apply percentage techniques in a variety of real-world situations.
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Reverse Percentages
Growth and Decay
Percentage Problem Solving
For more Percentages Worksheets, see Year 9 Percentages Worksheets
Common Questions about Year 10 Percentages
Why can't percentage increases and decreases simply be added together?
A percentage increase and a percentage decrease are calculated from different starting values, so they do not cancel each other out.How do you work backwards after a percentage increase or decrease?
Use the appropriate percentage multiplier. For example, if a value has increased by 20%, divide by 1.2 to find the original value.How is compound percentage change different from simple percentage change?
Compound percentage change applies each percentage change to the new value after the previous change, rather than always using the original value.
Year 10 Percentages Common Mistakes
Common Mistake 1
A common mistake is adding or subtracting percentage changes directly, such as assuming a 20% increase followed by a 20% decrease returns to the original value.Common Mistake 2
Students often use the wrong multiplier when working backwards, for example multiplying by 1.2 instead of dividing by 1.2 after a 20% increase.Common Mistake 3
Another common mistake is treating compound percentage change as simple percentage change, instead of applying each change to the new amount each time.
Percentages Worksheets - Free Worksheets Above
Percentage Problems (A)
Percentage Problems (B)
Percentage Problems (A)