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.Solve 3x − 5 = 4.
- 2.A number machine adds 6 to its input. Work out the output when the input is −4.
- 3.Oliver has m stickers and gives 5 of them away. The number he has left is L = m − 5. Work out L when m = 8.
- 4.p = 4. Work out the value of 2p³.
- 5.Here are the first four terms of an arithmetic sequence: 5, 9, 13, 17. Work out the 5th term.
- 6.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?
- 7.A geometric sequence starts at 3, and each term after that is found by multiplying the term before it by 2. Write down the first four terms.
- 8.To solve 6x − 4 = 2x + 20, Yusuf's first step is to subtract 2x from both sides. Work out what equation this gives.
- 9.Six years ago Harry was three times as old as his brother Leo. Harry is now 24 years old. Work out Leo's age now.
- 10.Solve 3(2x − 1) = 27
- 11.The line y = 3x + 6 meets the x-axis at one point. Work out the coordinates of that point.y = 3x + 6
- 12.Which expression means 'y squared, multiplied by 3'?
- 13.A straight line passes through the points (−1, 2) and (3, 14). Work out the equation of the line.
- 14.n = 3. Work out the value of (2n)².
- 15.Which of these equations gives a graph with two separate curved branches — one where x and y are both positive, and one where x and y are both negative?
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