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.
Non-calculator
Algebra worksheet — GCSE Foundation
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- 1.Write down the gradient of the line with equation y = 6 + 4x.
- 2.Write down the expression that means the same as w ÷ 6.
- 3.Solve the inequality 2(3x − 1) ≥ 4x + 8.
- 4.Write down the expression that means the same as p + p + p + q.
- 5.Solve 2x − 2 = 2
- 6.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.
- 7.A phone plan costs a fixed £15 per month plus 8p per minute of calls. In one month, Jamal's bill was £23.80. Form an equation using m for the number of minutes, and solve it to find how many minutes Jamal used that month.
- 8.The simultaneous equations x = 2 and x + y = 9 are given. Work out the value of y.
- 9.Here are the first five terms of an arithmetic sequence: 4, 7, 10, 13, 16. Work out the 9th term.
- 10.A tank already contains some water and is then filled at a constant rate. After 2 minutes it contains 50 litres in total; after 7 minutes it contains 150 litres in total. Work out the rate at which water is added, in litres per minute.
- 11.The graph of y = mx + 6 passes through the point (−2, 0). Work out the value of m.
- 12.Which of these equations gives a graph shaped like a U, symmetrical about a vertical line?
- 13.Work out the gradient of the straight line with equation 3y = 12 − 6x.
- 14.Simplify 5x + 3y − 2x + y.
- 15.Priya says that x = 6 is the solution of the equation 4x + 8 = 24. Priya is wrong. Work out the correct value of x.
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