Back to MathematicsPractice this
Paper 1 & 3
Fractions, Decimals & Percentages
Foundation
Percentages are always out of 100.
Key Facts
- Know 1/2, 1/4, 1/5, 1/8, 3/8 as decimals.
- Last-minute priority: percentage increase/decrease questions.
- Use multipliers to avoid rounding errors.
- Percent means “out of 100”.
Topics Covered
Convert Between Forms
What you need to know
- •Divide to convert fractions to decimals.
- •Multiply by 100 for percentages.
Exam Tips
- Use equivalent fractions for quick percentage conversions.
Percentage Change
What you need to know
- •Multiplier for increase is 1 + rate.
- •Multiplier for decrease is 1 - rate.
Exam Tips
- Write the multiplier before the calculation.
Key Terms
Percentage change
Change ÷ original × 100.
Multiplier
A number used to increase or decrease quickly.
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Common Exam Questions
Increase 180 by 12%.
2 marksmediumPaper 1
Model Answer
201.6
What examiners want to see
- ✓Use multiplier 1.12.
- ✓Correct final value.
Convert 7/20 to a percentage.
1 markeasyPaper 1
Model Answer
35%
What examiners want to see
- ✓Divide then multiply by 100.
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