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.Factorise x² − 64.
- 2.y = x + 4. Work out the value of y when x = 3.y = x + 4
- 3.The first four terms of a sequence are 4, 9, 14, 19. Work out an expression, in terms of n, for the nth term.
- 4.Which of these equations describes a vertical line?
- 5.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.
- 6.Which of these values of x is a solution of x² + 2x − 15 = 0?
- 7.Expand 4(2x − 3).
- 8.Solve x² = 81.
- 9.A rectangle has area 24x + 18. Ffion factorises the area as 6(4x + 3). Work out the value of the area when x = 2, and decide whether 6 and (4x + 3) are correctly identified as factors of 24x + 18.
- 10.Expand 7(a + 8)
- 11.The graph of y = x² − 2x − 8 crosses the x-axis at x = −2 and x = 4. Work out the x-coordinate of the turning point of the curve, using the symmetry of the graph.y = x² − 2x − 8
- 12.Which of these is a factor of 15x + 20?
- 13.A sequence has the position-to-term rule: the term is the square of the position number. Its first four terms are 1, 4, 9, 16. Work out the 10th term.
- 14.Solve 3(2x − 1) = 27
- 15.Write down the gradient of the line with equation y = 6 + 4x.
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