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.
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Algebra worksheet — GCSE Foundation
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- 1.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.
- 2.Solve x² + 7x = 0.
- 3.The solution set of an inequality is x ≥ 7. Write down the value that does NOT satisfy this inequality.
- 4.Expand and simplify (x − 3)²
- 5.A cinema sells adult tickets for £10 and child tickets for £6. A family group buys 9 tickets in total, spending £74. Work out how many adult tickets were bought.
- 6.Solve 4(x − 3) = 2x + 6.
- 7.Solve 2x + 1 = 9
- 8.Work out the y-intercept of the graph of y = x² + 3x − 10.y = x² + 3x − 10
- 9.A regular hexagon has sides of length (x + 2) cm. Write down an expression, in terms of x, for the perimeter of the hexagon.
- 10.The solution set of x ≥ −1 is drawn on a number line. Which description of that number line is correct?
- 11.Simplify 2a + 3b − a + 2b − b
- 12.Which of these equations gives a graph with two separate curved branches — one where x and y are both positive, and one where x and y are both negative?
- 13.Harry will spend at most £150 on a party. The cake costs £60 and each helium balloon costs £3. Solve an inequality to find all the possible numbers of balloons, x, that he can buy.
- 14.A charity's fundraising total, T pounds, over d days follows T = (d − 3)(30 − d) for 3 ≤ d ≤ 30, where T = 0 marks the start and end of the campaign. Work out how many days the campaign runs for, from start to end.
- 15.Expand 2(x − 13)
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