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.Three consecutive integers add up to 72. Using n for the smallest integer, form an equation and solve it to find the smallest of the three integers.
- 2.Which of these is an inequality?
- 3.Factorise fully 12x² + 18x.
- 4.Which expression is equivalent to 7x − 3(2x − 6)?
- 5.A taxi fare in pounds is given by F = 2.50 + 1.20m, where m is the number of miles travelled. Sam takes a taxi for a journey of 6 miles. Work out the fare.
- 6.Which expression is equivalent to 0.5(4x + 6) − x?
- 7.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.
- 8.A rectangle has length (2x + 5) cm and width (x − 2) cm. Work out an expression, in terms of x, for the perimeter of the rectangle. Give your answer in its simplest form.
- 9.Solve 2x − 2 = 2
- 10.Solve 6x + 4 = 28
- 11.Which of these equations gives a graph shaped like a U, symmetrical about a vertical line?
- 12.Solve (2x + 1)/3 = 5
- 13.Sophie's mother is 34 years old. In x years' time she will be 50 years old. Work out the value of x.
- 14.Which of these is an equation, rather than an expression, a formula or an identity?
- 15.Solve the simultaneous equations 2x + y = 7 and x − y = 2.
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