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Percentages and Factorisation Mixed
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Percentages and Factorisation Mixed
📊 Part 1: Percentage Calculations
1. A jacket costs £80. In a sale, it is reduced by 25%. What is the sale price?
£55
£60
£65
£70
2. Find 15% of £240.
3. A car's value increases from £12,000 to £13,800. What is the percentage increase?
4. After a 20% discount, a phone costs £320. What was the original price?
🔢 Part 2: Factorisation
5. Factorise completely: 12x + 18
6. Factorise: x² + 7x + 12
(x + 3)(x + 4)
(x + 2)(x + 6)
(x + 1)(x + 12)
(x - 3)(x - 4)
7. Factorise: x² - 16
8. Factorise: 2x² + 5x - 3
🎯 Part 3: Mixed Problem Solving
9. A shop increases all prices by 12%. If a book now costs £22.40, what was its original price?
10. Factorise completely: 3x² - 12x + 9
11. Sarah's salary increases by 8% to £27,000. What was her salary before the increase?
12. Factorise: x² - 9x + 20, then use your answer to solve x² - 9x + 20 = 0
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