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.Factorise x² − 3x − 10.
- 2.Which of these equations is equivalent to 5x − 2 = 3x + 8?
- 3.The nth term of a sequence is 4n + 2. A term in the sequence has value 30. Work out its position, n, in the sequence.
- 4.The triangular numbers begin 1, 3, 6, 10, 15, ... Work out the next term in the sequence.
- 5.Make b the subject of the formula a = 5b.
- 6.The solution to an inequality is n ≤ 5. Write down the largest integer value of n that satisfies this inequality.
- 7.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 8.The graph of y = x² + 2x − 15 crosses the x-axis at two points. By factorising, work out the x-coordinates of these two points.y = x² + 2x − 15
- 9.Solve 5x − 9 = 16
- 10.A sequence has the position-to-term rule n² + 2, where n is the position number. Work out the 6th term.
- 11.Solve x² = 81.
- 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.A plumber charges a call-out fee of £30 plus £25 for each hour worked. The total bill for a job was £130. Work out how many hours the plumber worked.
- 14.Work out the value of 3n − 2 when n = 1
- 15.Which expression is equivalent to 3(2x − 5) + 4x?
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