Printable · GCSE Foundation · ages 14-16
Algebra worksheet — GCSE Foundation
Fifteen questions across the algebra statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Algebra worksheet — GCSE Foundation
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- 1.Here are the first five terms of an arithmetic sequence: 2, 5, 8, 11, 14. Work out the 8th term.
- 2.A gas company charges a standing charge plus a rate per unit used. The total cost, y in pounds, for using x units is given by y = 0.15x + 20. Work out the cost of using 200 units.y = 0.15x + 20
- 3.Write down the gradient of the line with equation y = −x + 3.y = −x + 3
- 4.A recipe gives the cooking time, in minutes, for a chicken as T = 40m + 20, where m is the mass in kg. A chicken has a mass of 1.8 kg. Work out the cooking time in hours and minutes.
- 5.Work out the value of 2x² when x = −3
- 6.The first four terms of a sequence are 18, 15, 12, 9. Work out an expression, in terms of n, for the nth term.
- 7.Solve the simultaneous equations 2x + y = 7 and x + 2y = 8.
- 8.A sequence has the position-to-term rule: the term is the position number multiplied by itself. Its first five terms are 1, 4, 9, 16, 25. Work out the 8th term.
- 9.Solve 2x + 7 = x + 13
- 10.Simplify 5a/6 − a/3
- 11.Solve 2x + 1 = 9
- 12.Which of these equations is equivalent to 5x − 2 = 3x + 8?
- 13.Which of these is an inequality?
- 14.A pizza shop charges a fixed delivery fee of £3, plus £9 for each pizza ordered. Write down the function for the total cost y, in pounds, of ordering x pizzas.
- 15.Solve the inequality 3x − 1 ≤ 11.
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