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
MathsUKwww.geekhero.co.uk
- 1.A printer starts a job with 480 sheets of paper loaded and prints at a steady rate. The number of sheets left, S, after t minutes is given by S = 480 − 24t. Work out how many minutes it takes for the paper to run out completely.
- 2.The first five terms of a quadratic sequence are 2, 5, 10, 17, 26. Work out the next term in the sequence.
- 3.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 4.The perimeter, P, of a rectangle with length l and width w is calculated using P = 2l + 2w. What kind of mathematical statement is P = 2l + 2w?
- 5.Make x the subject of the formula y = 3(x + 2).
- 6.Which of these is a term, rather than a whole expression, an equation, or a formula?
- 7.The cost, in pounds, of hiring a van for d days is given by the formula C = 25 + 18d. A customer's hire cost £133. Work out how many days, d, they hired the van for, by first rearranging the formula to make d the subject.
- 8.Which expression is equivalent to 5x − (x + 3)?
- 9.On a map, where each grid unit represents 1 km, Ravi's house is at (−3, 4) and the library is at (6, 4). Work out the distance between Ravi's house and the library.
- 10.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 11.The diagram shows the graph of a quadratic function. Write down the values of x where the graph crosses the x-axis.
- 12.Work out the value of 5m² + 3m when m = −2.4
- 13.Solve (2x + 1)/3 = 5
- 14.A number machine multiplies its input by 3. The output is 15. Work out the input.
- 15.The first four terms of a sequence are 4, 6, 8, 10. Work out an expression, in terms of n, for the nth term.
Build your own mix at the worksheet builder.