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.ABCD is a parallelogram. A has coordinates (−3, 1), B has coordinates (2, 1) and C has coordinates (4, 4). Work out the coordinates of D.
- 2.The first four terms of a sequence are 5, 8, 11, 14. Work out an expression, in terms of n, for the nth term.
- 3.A taxi firm charges a fixed fee of £3.50 plus £2.20 per mile. Work out the total cost of a journey of 6 miles.
- 4.Simplify (5x² + 3x − 2) − (2x² − x + 5)
- 5.Solve 2(x + 3) = 10
- 6.Which of these is a formula, rather than an expression, an equation, or an identity?
- 7.The solution set of an inequality is x ≥ 7. Write down the value that does NOT satisfy this inequality.
- 8.Solve the inequality 2(3x − 1) ≥ 4x + 8.
- 9.For the graph of y = 1/x, where x cannot be zero, which of these statements is correct?
- 10.A rule multiplies the input by a fixed number and then adds a fixed number. An input of 1 gives an output of 5, and an input of 3 gives an output of 11. Work out the rule, writing the input as x and the output as y.
- 11.A box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.
- 12.The formula for converting a temperature in Fahrenheit, F, to Celsius, C, is C = 5(F − 32) ÷ 9. Work out C, to 1 decimal place, when F = 98.6.
- 13.Expand 7(a + 8)
- 14.The graph of y = x² − 2x − 8 crosses the x-axis at x = −2 and x = 4. Work out the x-coordinate of the turning point of the curve, using the symmetry of the graph.y = x² − 2x − 8
- 15.Solve the inequality 5x − 3 > 2x + 9.
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