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.
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Algebra worksheet — GCSE Foundation
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- 1.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?
- 2.The diagram shows the graph of a quadratic function. Write down the values of x where the graph crosses the x-axis.
- 3.Solve the inequality 3x + 6 ≤ 0.
- 4.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 5.A plumber charges a £35 call-out fee plus £20 for each hour worked, h. On a certain job the total charge was £115. Work out how many hours the plumber worked.
- 6.A geometric sequence has first term 5, and each term after that is 3 times the term before it. Work out the first term of the sequence that is greater than 1000.
- 7.A number machine multiplies its input by 3 and then adds 7. The output is 1. Work out the input.
- 8.y = x + 10. Work out the value of y when x = 0.y = x + 10
- 9.The nth term of a sequence is n² + 3. Work out the first term of the sequence that is greater than 50.
- 10.Solve 5x² − 15x = 0.
- 11.Which of these is a term, rather than a whole expression, an equation, or a formula?
- 12.The first four terms of a sequence are 18, 15, 12, 9. Work out an expression, in terms of n, for the nth term.
- 13.The first four terms of a sequence are 5, 8, 11, 14. Work out an expression, in terms of n, for the nth term.
- 14.Harry will spend at most £150 on a party. The cake costs £60 and each helium balloon costs £3. Solve an inequality to find all the possible numbers of balloons, x, that he can buy.
- 15.A vertical line passes through the point (4, 7). Write down the equation of this line.
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