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.A sequence has the position-to-term rule: the nth term is 3n. Write down the first four terms of the sequence.
- 2.Solve (2x + 1)/3 = 5
- 3.Work out the value of 3a − 2b when a = 5 and b = 4
- 4.Which of these is a factor of 15x + 20?
- 5.y = 5 − 2x. Work out the value of x when y = 11.
- 6.A rule turns each input x into an output y. The inputs are x = 0, 1, 2, 3 and the outputs are y = 4, 7, 10, 13. Work out the output when x = 5.
- 7.Work out the value of 4p² − 3 when p = 2.5
- 8.A geometric sequence begins 162, 54, 18, 6, ... Work out the next term in the sequence.
- 9.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 10.A rectangle is x cm wide and twice as long as it is wide, so its area A cm² is given by A = 2x². Work out A when x = 3.
- 11.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?
- 12.y = 3x − 2. Work out the value of y when x = 4.y = 3x − 2
- 13.For the equation 2x + 3 = 11, and the inequality 2x + 3 > 11, which statement correctly compares their solutions?
- 14.Make x the subject of the formula y = 3(x + 2).
- 15.Expand and simplify 4(2x − 1) − 3(x + 2) − 5x
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