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.The graph of y = 20/x is drawn for x > 0. As the value of x increases, what happens to the value of y?
- 2.Sophie's mother is 34 years old. In x years' time she will be 50 years old. Work out the value of x.
- 3.On Monday, a runner covers 15 km in 2.5 hours. On Tuesday, she covers 12 km in 1.5 hours. Using the formula speed = distance ÷ time, work out on which day she ran faster, and by how much.
- 4.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 5.A quadratic graph has equation y = (x − 4)². A student says this graph crosses the x-axis at two different points. Explain why the student is wrong.
- 6.A straight line passes through the points (0, 4) and (1, 9). Write down the gradient of the line.
- 7.A straight line passes through the points (2, 7) and (5, 16). Work out the value of y when x = 0.
- 8.A sequence has the position-to-term rule: the nth term is 3n. Write down the first four terms of the sequence.
- 9.Which of these is a term, rather than a whole expression, an equation, or a formula?
- 10.Solve x² − 6x = 0.
- 11.Expand 4(2x − 3).
- 12.The solution set of an inequality is x ≥ 7. Write down the value that does NOT satisfy this inequality.
- 13.A sequence begins at 7. Each term after the first is found by adding 6 to the term before it. Work out the 6th term of the sequence.
- 14.Which expression is equivalent to 7x − 3(2x − 6)?
- 15.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
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