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.Solve 3(2x − 1) = 27
- 2.Make c the subject of the formula k = 6c.
- 3.Simplify 2a + 3b − a + 2b − b
- 4.Which of these equations gives a straight-line graph when plotted?
- 5.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.
- 6.To solve 6x − 4 = 2x + 20, Yusuf's first step is to subtract 2x from both sides. Work out what equation this gives.
- 7.Which of these is an equation, rather than an expression, a formula or an identity?
- 8.The first four terms of a sequence are 5, 8, 11, 14. Work out an expression, in terms of n, for the nth term.
- 9.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 10.A vertical line passes through the point (4, 7). Write down the equation of this line.
- 11.Which of these equations is equivalent to 5x − 2 = 3x + 8?
- 12.A quadratic curve has a minimum turning point at (3, −4). Which of these statements about the curve must be true?
- 13.The first four terms of a sequence are 18, 15, 12, 9. Work out an expression, in terms of n, for the nth term.
- 14.A fundraising chain letter starts with 3 people taking part in round 1. Each following round has 4 times as many people taking part as the round before. Work out the number of people taking part in round 4.
- 15.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
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