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.
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Algebra worksheet — GCSE Foundation
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- 1.Work out the distance of the point (−6, 4) from the x-axis.
- 2.A packet contains s sweets. The sweets are shared equally between f friends. Write an expression for the number of sweets each friend receives.
- 3.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 4.A straight line has equation y = 4 − 3x. Work out the gradient of the line.
- 5.Given that (x + 2)(x − 7) = 0, write down the two solutions of x.
- 6.A cinema sells adult tickets for £10 and child tickets for £6. A family group buys 9 tickets in total, spending £74. Work out how many adult tickets were bought.
- 7.Factorise fully 5x + 5y − 5
- 8.Make p the subject of the formula n = p/3.
- 9.Which of these statements is an equation with exactly one solution?
- 10.Work out the gradient of the straight line with equation y = (2x/5) − 3.
- 11.Matchsticks are laid out as a row of squares, with each new square sharing a side with the square before it. The first square uses 4 matchsticks and every extra square uses 3 more. Work out how many matchsticks a row of 4 squares uses.
- 12.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 13.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 14.A ramp rises 3 m over a horizontal distance of 12 m. Work out the gradient of the ramp.
- 15.Expand 4(2x − 3).
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