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 cyclist's journey is shown on a distance–time graph. The graph is a straight line from (0 minutes, 0 km) to (40 minutes, 12 km). Work out her speed in kilometres per hour.
- 2.The nth term of a sequence is 3n + 2. Work out the 4th term of the sequence.
- 3.y = 5x − 1. Work out the value of y when x = 3.y = 5x − 1
- 4.Solve 6x + 4 = 28
- 5.Solve the inequality 2(3x − 1) ≥ 4x + 8.
- 6.The formula for the perimeter of a square is P = 4s, where s is the side length. Make s the subject of the formula.
- 7.Solve 3(2x − 1) = 27
- 8.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 9.Here are the first four terms of an arithmetic sequence: 5, 9, 13, 17. Work out the 5th term.
- 10.Factorise fully 5x + 5y − 5
- 11.The first four terms of a sequence are 4, 6, 8, 10. Work out an expression, in terms of n, for the nth term.
- 12.a = 2 and b = 5. Work out the value of a²b.
- 13.Two numbers have a sum of 24. Their difference is 6. Work out the two numbers.
- 14.How many turning points does the graph of y = x² − 7x + 10 have?y = x² − 7x + 10
- 15.Factorise fully 56x − 24
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