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.Two brothers have ages that add up to 30. The elder brother is 6 years older than the younger brother. Work out the age of the younger brother.
- 2.Make x the subject of the formula y = 3(x + 2).
- 3.A sequence starts at 2. Each term after that is found using the rule "double the previous term, then add 1". Work out the 4th term of the sequence.
- 4.A straight line has equation y = 2x − 7. Write down the coordinates of the point where the line crosses the y-axis.y = 2x − 7
- 5.Which of these is a formula, rather than an expression, an equation, or an identity?
- 6.Write down the gradient of the line with equation y = 7x − 2.y = 7x − 2
- 7.Factorise fully 12x² + 18x.
- 8.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.
- 9.Which expression is equivalent to 7x − 3(2x − 6)?
- 10.A straight line has equation y = 4 − 3x. Work out the gradient of the line.
- 11.The first four terms of a sequence are 9, 14, 19, 24. Work out an expression, in terms of n, for the nth term.
- 12.A plant is 4 cm tall in week 1. Each week after that, its height increases by 5 cm. Work out the first week in which the plant is taller than 30 cm.
- 13.Simplify 5x + 3y − 2x + y.
- 14.The simultaneous equations x = 2 and x + y = 9 are given. Work out the value of y.
- 15.Solve x² + 3x − 10 = 0.
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