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 rule turns each input x into an output y. The inputs are x = 0, 1, 2, 3 and the outputs are y = 4, 7, 10, 13. Work out the output when x = 5.
- 2.A car park charges a £4 fixed fee plus £3 for each hour. Kofi has exactly £25 to spend on parking. Using the inequality 4 + 3h ≤ 25, work out the greatest number of whole hours, h, he can park for.
- 3.Mia buys 3 identical notebooks and a pen costing £1.50. She pays a total of £9.90. Form an equation using n for the cost of one notebook, and solve it to find n.
- 4.The graph of y = 24/x is drawn for x > 0. Work out the value of y when x = 6.
- 5.Write down the expression that means the same as m × m × m × n.
- 6.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 7.A number machine adds 5 to its input. Work out the output when the input is 0.
- 8.An arithmetic sequence has first term 40 and common difference −6. Work out the 9th term of the sequence.
- 9.Work out the distance of the point (−6, 4) from the x-axis.
- 10.Make x the subject of the formula y = 3(x + 2).
- 11.A geometric sequence begins 162, 54, 18, 6, ... Work out the next term in the sequence.
- 12.Solve the simultaneous equations 2x + y = 7 and x − y = 2.
- 13.A number machine adds 6 to its input. Work out the output when the input is −4.
- 14.A plumber charges a call-out fee of £30 plus £25 for each hour worked. The total bill for a job was £130. Work out how many hours the plumber worked.
- 15.The equation 3(2x − 1) = 4x + 9 is rearranged by expanding the brackets. Which of these is the correctly expanded equation?
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