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.
Non-calculator
Algebra worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.The solution set of an inequality is x ≥ 7. Write down the value that does NOT satisfy this inequality.
- 2.A lift has a weight limit: it must carry no more than 630 kg. Let w be the total weight, in kg, carried by the lift. Which inequality describes this?
- 3.A quadratic graph has roots at x = −3 and x = 5, and it crosses the y-axis at (0, −15). Work out the equation of the curve in the form y = (x − a)(x − b).
- 4.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
- 5.A table of values is being drawn for the graph of y = x³. Work out the value of y when x = −2.y = x
- 6.Simplify 2a + 3b − a + 2b − b
- 7.The triangular numbers begin 1, 3, 6, 10, 15, ... Work out the next term in the sequence.
- 8.A cyclist's journey is shown on a distance–time graph. The graph is a straight line from (0 minutes, 0 km) to (40 minutes, 12 km). Work out her speed in kilometres per hour.
- 9.a = 2 and b = 5. Work out the value of ab².
- 10.y = x + 10. Work out the value of y when x = 0.y = x + 10
- 11.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.
- 12.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 13.Which expression is equivalent to 3(2x − 5) + 4x?
- 14.Which expression is equivalent to 4(x − 2) + 10?
- 15.A plumber charges a call-out fee of £30 plus £25 per hour worked. Work out the total charge for a job that takes 3 hours.
Build your own mix at the worksheet builder.