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.Solve x² = 49.
- 2.An arithmetic sequence has first term 40 and common difference −6. Work out the 9th term of the sequence.
- 3.A company's profit is £500 in its first year. Each year after that, the profit is £300 more than the year before. Work out the profit in the company's 6th year.
- 4.Solve 3(2x − 1) = 27
- 5.The first four terms of a sequence are 9, 14, 19, 24. Work out an expression, in terms of n, for the nth term.
- 6.Three vertices of a rectangle are (−4, −1), (2, −1) and (2, 3). The sides of the rectangle are parallel to the axes. Write down the coordinates of the fourth vertex.
- 7.A geometric sequence begins 80, 40, 20, 10, ... Work out the next term in the sequence.
- 8.Solve x² − 6x = 0.
- 9.The first four terms of a sequence are 4, 9, 14, 19. Work out an expression, in terms of n, for the nth term.
- 10.Work out the value of 3n − 2 when n = 1
- 11.The formula for converting a distance in miles, m, to kilometres, k, is k = 8m ÷ 5. Work out k when m = 10.
- 12.Work out the value of 3a − 2b when a = 5 and b = 4
- 13.The nth term of a sequence is 2n² + 1. Work out the 4th term of the sequence.
- 14.A statement contains an equals sign and one unknown letter, and it is only true for particular value(s) of that letter. What is this type of statement called?
- 15.Solve the inequality 4x + 1 > 2x + 9.
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