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Percentages
AQA GCSE Mathematics practice questions with step-by-step solutions
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Sample Questions
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EasyQuestion 1
[2 marks]Calculate 35% of £240.
Solution for Question 1
MediumQuestion 2
[3 marks]In a sale, all prices are reduced by 15%.
A jacket originally costs £85.
(a) Calculate the sale price of the jacket.
(b) After the sale, prices increase by 15%. Will the jacket return to its original price? Show working to explain your answer.
Solution for Question 2
HardQuestion 3
[5 marks]A car depreciates in value by 12% each year.
James bought a car for £18,500.
(a) Calculate the value of the car after 1 year.
(b) Calculate the value of the car after 3 years.
(c) After how many complete years will the car first be worth less than £10,000?
Solution for Question 3
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Generate Unlimited QuestionsAbout Percentages in AQA GCSE
Percentages are one of the most practical topics in GCSE Mathematics, with real-world applications in finance, shopping, data analysis, and statistics. "Per cent" means "per hundred" - so 45% means 45 out of every 100.
**Converting Between Forms:**
- Percentage to decimal: divide by 100 (e.g., 45% = 0.45)
- Decimal to percentage: multiply by 100 (e.g., 0.73 = 73%)
- Fraction to percentage: divide then multiply by 100 (e.g., 3/4 = 0.75 = 75%)
**Finding a Percentage of an Amount:**
Method 1: Convert to decimal and multiply
25% of £80 = 0.25 × 80 = £20
Method 2: Find 10% or 1% first
25% of £80: 10% = £8, so 25% = £8 × 2.5 = £20
**Percentage Increase/Decrease:**
- Use multipliers for efficiency
- Increase by 15%: multiply by 1.15
- Decrease by 20%: multiply by 0.80
**One Quantity as a Percentage of Another:**
(Part ÷ Whole) × 100
**Exam Tips:**
- Learn common percentage-fraction-decimal equivalents
- Use multipliers for speed in percentage change questions
- For reverse percentages, divide by the multiplier
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