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 diagram shows the graph of a function. Which equation could it represent?
- 2.A colony of bacteria doubles in number every hour. At 9am there are 5 bacteria in the colony. Work out how many bacteria there will be at 12 noon.
- 3.A geometric sequence begins 80, 40, 20, 10, ... Work out the next term in the sequence.
- 4.A straight line passes through the points (1, 3) and (2, 5). Work out the equation of the line.
- 5.Factorise fully 12x² + 18x.
- 6.ABCD is a parallelogram. A has coordinates (−3, 1), B has coordinates (2, 1) and C has coordinates (4, 4). Work out the coordinates of D.
- 7.Solve 4(x − 3) = 2x + 6.
- 8.A charity's fundraising total, T pounds, over d days follows T = (d − 3)(30 − d) for 3 ≤ d ≤ 30, where T = 0 marks the start and end of the campaign. Work out how many days the campaign runs for, from start to end.
- 9.A regular hexagon has sides of length (x + 2) cm. Write down an expression, in terms of x, for the perimeter of the hexagon.
- 10.A company's profit was £2000 in its first year. Each following year, the profit increases by £800. Work out the first year in which the profit is more than £7000.
- 11.How many turning points does the graph of y = x² − 7x + 10 have?y = x² − 7x + 10
- 12.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 13.Solve the simultaneous equations x + y = 15 and x − y = 3. Work out the value of x.
- 14.Work out the value of m² + 3m when m = −2
- 15.Simplify k + k + k + k + k.
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