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 first four terms of a sequence are 11, 18, 25, 32. Ravi thinks the nth term is 7n. Work out the correct expression for the nth term.
- 2.Solve the inequality 5 − x ≤ 2.
- 3.Simplify (5x² + 3x − 2) − (2x² − x + 5)
- 4.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.
- 5.The graph of a straight line has equation y = 4x − 5. Beth says the y-intercept is 4. Work out the correct y-intercept.y = 4x − 5
- 6.A conversion graph shows that 5 miles is equivalent to 8 kilometres. Use this to work out how many kilometres are equivalent to 20 miles.
- 7.Write down the gradient of the line with equation y = −x + 3.y = −x + 3
- 8.A pizza shop charges a fixed delivery fee of £3, plus £9 for each pizza ordered. Write down the function for the total cost y, in pounds, of ordering x pizzas.
- 9.Solve the simultaneous equations 2x + y = 7 and x + 2y = 8.
- 10.The point A lies on the x-axis. Which statement about A must be true?
- 11.In a sequence, each term is half the term before it. The sequence begins 100, 50, 25. Write down the next term.
- 12.Simplify 2b − 1 + 2b − 4 + 2b
- 13.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.
- 14.Solve the inequality 2(x − 1) ≤ 8.
- 15.Solve 6x − 5 = 3x + 13.
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