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 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?
- 2.A number machine multiplies its input by 3. The output is 15. Work out the input.
- 3.A straight line passes through the points (2, 5) and (4, 11). Work out the gradient of the line.
- 4.A sequence has the position-to-term rule n² + 1, where n is the position number. Work out how much bigger the 5th term is than the 4th term.
- 5.Solve x² − 5x + 6 = 0 by factorising.
- 6.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 7.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.
- 8.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.
- 9.Write down the coordinates of the point where the line y = 2x + 4 crosses the y-axis.y = 2x + 4
- 10.Which of these is an expression?
- 11.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 12.Work out the value of 5m² + 3m when m = −2.4
- 13.A Fibonacci-type sequence begins 3, 5, 8, 13, ... where each term after the second is the sum of the two terms before it. Work out the 7th term of the sequence.
- 14.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.
- 15.Which expression is equivalent to 3(2x − 5) + 4x?
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