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 number machine adds 1 to its input. Isla says that an input of 5 gives an output of 6. Which statement is correct?
- 2.Make p the subject of the formula n = p/3.
- 3.Oliver has m stickers and gives 5 of them away. The number he has left is L = m − 5. Work out L when m = 8.
- 4.p = 4. Work out the value of 2p³.
- 5.Solve the inequality 2(3x − 1) ≥ 4x + 8.
- 6.Which expression is equivalent to 0.5(4x + 6) − x?
- 7.Simplify 2a + 3b − a + 2b − b
- 8.a = 2 and b = 5. Work out the value of ab².
- 9.A printer starts a job with 480 sheets of paper loaded and prints at a steady rate. The number of sheets left, S, after t minutes is given by S = 480 − 24t. Work out how many minutes it takes for the paper to run out completely.
- 10.Which of these statements is an equation with exactly one solution?
- 11.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 12.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.
- 13.A box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.
- 14.Solve the simultaneous equations x + y = 1 and 2x + y = 5.
- 15.A ball's height, h metres, t seconds after being thrown follows h = (t − 1)(9 − t). Given that the ball is at ground level at t = 1 and t = 9, work out at what time t the ball reaches its maximum height, using symmetry.
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