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 point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 2.Solve (2x + 1)/3 = 5
- 3.To solve 6x − 4 = 2x + 20, Yusuf's first step is to subtract 2x from both sides. Work out what equation this gives.
- 4.A straight line has equation y = 5x. Work out the value of y when x = 3.y = 5x
- 5.The point A lies on the x-axis. Which statement about A must be true?
- 6.A ribbon of length L metres is cut into 5 equal pieces, and then 3 metres is removed from one piece. Write down an expression, in metres, for the length of that piece after 3 metres is removed.
- 7.A theatre's front row has 18 seats. Each row behind has 4 more seats than the row in front. Which row has exactly 62 seats?
- 8.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.
- 9.Expand 7(a + 8)
- 10.A rectangle is x cm wide and twice as long as it is wide, so its area A cm² is given by A = 2x². Work out A when x = 3.
- 11.An arithmetic sequence has first term 40 and common difference −6. Work out the 9th term of the sequence.
- 12.Write down 0.2x with its coefficient written as a fraction in its simplest form.
- 13.Solve x² + 7x = 0.
- 14.A student solves the simultaneous equations 2x + y = 11 and x − y = 1 by elimination, adding the two equations together. Which of these is the correct result of that step?
- 15.Solve the inequality 9 − 2x ≥ 1.
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