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.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 2.Solve the inequality 9 − 2x ≥ 1.
- 3.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 4.The equation 3(2x − 1) = 4x + 9 is rearranged by expanding the brackets. Which of these is the correctly expanded equation?
- 5.Which of these points lies in the first quadrant?
- 6.Solve 5x² − 15x = 0.
- 7.Solve the inequality 5 − x ≤ 2.
- 8.The first five terms of a quadratic sequence are 5, 8, 13, 20, 29. Work out the next term in the sequence.
- 9.Solve the inequality x + 5 < 12.
- 10.Solve 3x − 5 = 4.
- 11.The diagram shows a straight line passing through the origin, drawn on a numbered grid. Which of these points lies on the line?
- 12.Make a the subject of the formula b = 20 − a.
- 13.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.
- 14.A stack of firewood has 3 logs in the top layer. Each layer below has 4 more logs than the layer above it. Work out the number of logs in the 6th layer from the top.
- 15.The nth term of a sequence is 4n + 2. A term in the sequence has value 30. Work out its position, n, in the sequence.
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