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 sequence has the position-to-term rule n² − 3, where n is the position number. Work out the difference between the 6th term and the 5th term.
- 2.Simplify k + k + k + k + k.
- 3.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.
- 4.A square tile has an area of 144 cm². Work out the side length of the tile.
- 5.Three vertices of a rectangle are (−4, −1), (2, −1) and (2, 3). The sides of the rectangle are parallel to the axes. Write down the coordinates of the fourth vertex.
- 6.A rule turns each input x into an output y. The inputs are x = −1, 0, 1, 2 and the matching outputs are y = 5, 3, 1, −1. Work out the rule.
- 7.Solve the inequality 2(x − 1) ≤ 8.
- 8.Write down the number of terms in the expression 4x² − 7x + 3.
- 9.The diagram shows a straight line passing through the origin, drawn on a numbered grid. Which of these points lies on the line?
- 10.A geometric sequence has first term 5, and each term after that is 3 times the term before it. Work out the first term of the sequence that is greater than 1000.
- 11.Solve x² − 5x + 6 = 0 by factorising.
- 12.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 13.Factorise fully 12x² + 18x.
- 14.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.
- 15.Solve the simultaneous equations 2x + y = 7 and x + 2y = 8.
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