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.Yuki is y years old. Her brother is 4 years younger than Yuki. Write down an expression, in terms of y, for the brother's age in 5 years' time.
- 2.Which of these equations is equivalent to 5x − 2 = 3x + 8?
- 3.The first four terms of a sequence are 2, 6, 10, 14. Priya says the nth term is 4n. Work out the correct expression for the nth term.
- 4.Which expression is equivalent to 5x − (x + 3)?
- 5.The nth term of a sequence is 4n + 2. A term in the sequence has value 30. Work out its position, n, in the sequence.
- 6.The first five terms of a sequence are 2, 5, 8, 11, 14. Work out an expression, in terms of n, for the nth term.
- 7.Expand 4(2x − 3).
- 8.Make x the subject of the formula y = 5x + 3.y = 5x + 3
- 9.Which of these is an equation, rather than an expression, a formula or an identity?
- 10.Work out the value of 2(x + 2) when x = −5
- 11.Oliver buys b pens. Each pen costs £2. Write down an expression for the total cost, in pounds.
- 12.Two numbers have a sum of 24. Their difference is 6. Work out the two numbers.
- 13.Solve x² − x − 12 = 0.
- 14.The first four terms of a sequence are 9, 14, 19, 24. Work out an expression, in terms of n, for the nth term.
- 15.Which of these equations gives a graph with two separate curved branches — one where x and y are both positive, and one where x and y are both negative?
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