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Percentages and Factorisation Mixed
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Percentages and Factorisation Mixed
Show your working for questions that need a calculation. Give money answers in pounds and pence where appropriate.
Percentage calculations
1.A coat is priced at £96. It is reduced by 25%. What is its sale price?
- £24
- £68
- £72
- £76
2.Work out 15% of £360.
3.A gaming console costs £250. Its price goes up to £290. Calculate the percentage increase.
4.A bicycle costs £408 after a 15% discount. Find its price before the discount.
5.A shop takes 40% off a £90 backpack. Use the bar to work out the discount and then the sale price.
Factorisation
6.Factorise fully: 14y + 21.
7.Choose the factorisation of x² + 9x + 20.
- (x + 2)(x + 10)
- (x + 4)(x + 5)
- (x − 4)(x − 5)
- (x + 1)(x + 20)
8.Factorise the difference of two squares: x² − 49.
9.Factorise fully: 3x² + 10x + 8.
10.Factorise fully: 4x² − 20x + 16.
Mixed problem solving
11.A table lamp costs £31.50 after its price has been increased by 5%. What was its price before the increase?
12.A worker's weekly pay rises by 10% to £594. Find the weekly pay before the rise.
13.Factorise x² − 11x + 24, then use the factors to solve x² − 11x + 24 = 0.
3 printable pages
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