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.In a sequence, each term is half the term before it. The sequence begins 100, 50, 25. Write down the next term.
- 2.To solve 6x − 4 = 2x + 20, Yusuf's first step is to subtract 2x from both sides. Work out what equation this gives.
- 3.A lift has a weight limit: it must carry no more than 630 kg. Let w be the total weight, in kg, carried by the lift. Which inequality describes this?
- 4.Which of these is a formula?
- 5.A fundraising chain letter starts with 3 people taking part in round 1. Each following round has 4 times as many people taking part as the round before. Work out the number of people taking part in round 4.
- 6.Solve the simultaneous equations 3x + y = 14 and x + y = 6. Work out the value of x.
- 7.n = 3. Work out the value of (2n)².
- 8.A table of values is being drawn for the graph of y = x³. Work out the value of y when x = −2.y = x
- 9.Expand 4(2x − 3).
- 10.Work out the value of 2(x + 2) when x = −5
- 11.Solve the inequality x + 5 < 12.
- 12.Solve the simultaneous equations x + y = 1 and 2x + y = 5.
- 13.A rule turns each input into an output. An input of 0 gives an output of −1, an input of 1 gives an output of 1, and an input of 2 gives an output of 3. Work out the rule, writing the input as x and the output as y.
- 14.Solve x² − 5x + 6 = 0 by factorising.
- 15.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
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