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.The height, h metres, of a ball t seconds after a stopwatch is started follows h = (t − 1)(5 − t) for 1 ≤ t ≤ 5, where h = 0 means the ball is at ground level. Work out the two times at which the ball is at ground level.
- 2.Make a the subject of the formula b = 20 − a.
- 3.Solve the inequality x + 5 < 12.
- 4.Which of these is an inequality?
- 5.Which of these is a formula, rather than an expression, an equation, or an identity?
- 6.Which of these is a factor of 15x + 20?
- 7.Solve (3x + 2)/5 = (x + 4)/3
- 8.Make x the subject of the formula y = x + 7.y = x + 7
- 9.Which expression means 'y squared, multiplied by 3'?
- 10.Work out the value of n² − n when n = −3
- 11.The graph of y = x² − 2x − 8 takes these values: when x = −2, y = 0; when x = −1, y = −5; when x = 0, y = −8; when x = 3, y = −5; when x = 4, y = 0. Use these values to write down the two solutions of x² − 2x − 8 = 0.y = x² − 2x − 8
- 12.In which quadrant does the point (−3, 0.5) lie?
- 13.A rule turns each input into an output. An input of 0 gives an output of −1, an input of 1 gives an output of 1, and an input of 2 gives an output of 3. Work out the rule, writing the input as x and the output as y.
- 14.Simplify p + p + p.
- 15.The point B has coordinates (−2, −2). In which quadrant is B?
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