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.The point A lies on the x-axis. Which statement about A must be true?
- 2.Make b the subject of the formula a = 5b.
- 3.Write down 0.2x with its coefficient written as a fraction in its simplest form.
- 4.Which of these is a factor of 15x + 20?
- 5.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
- 6.The volume of a cuboid is given by the formula V = lwh. Work out V, in cm³, when l = 2, w = 3 and h = 6.
- 7.A formula is F = 4s. A pupil says that when s = 5 the value of F is 9, because they added 4 and 5 instead of multiplying. Work out the correct value of F when s = 5.
- 8.A rope of length L metres is cut into 6 equal pieces, and 4 metres is then removed from one piece. Write an expression, in metres, for the length of that piece after the cut.
- 9.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 10.A straight line has equation 4y = 12x + 20. Work out the gradient of the line.y = 12x + 20
- 11.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.
- 12.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?
- 13.Oliver buys b pens. Each pen costs £2. Write down an expression for the total cost, in pounds.
- 14.Work out the gradient of the straight line with equation 3y = 12 − 6x.
- 15.The first four terms of a sequence are 6, 13, 20, 27. Work out an expression, in terms of n, for the nth term.
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