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.Factorise fully 5x + 5y − 5
- 2.The first four terms of a sequence are 4, 9, 14, 19. Work out an expression, in terms of n, for the nth term.
- 3.Work out the value of a² − 2b when a = −3 and b = 4.
- 4.a = 2 and b = 5. Work out the value of a²b.
- 5.A water tank empties according to y = −5x + 200, where y is the number of litres left after x minutes. Work out the coordinates of the point where this graph crosses the x-axis.y = -5x + 200
- 6.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 7.Factorise fully 56x − 24
- 8.Which expression is equivalent to 3(x + 4) − 2(x − 1)?
- 9.The first four terms of a sequence are 9, 14, 19, 24. Work out an expression, in terms of n, for the nth term.
- 10.A zip-line runs from a platform 25 m high to a landing point 5 m high, over a horizontal distance of 40 m. Work out the gradient of the zip-line.
- 11.Solve 5x + 2 = 17.
- 12.A sequence has the position-to-term rule n² − 3, where n is the position number. Work out the difference between the 6th term and the 5th term.
- 13.Work out the equation of the straight line that passes through (−2, 3) and (4, −9).
- 14.Work out the equation of the straight line through the points (−2, 1) and (0, 7).
- 15.Solve 2x² = 18.
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