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.Three consecutive integers add up to 72. Using n for the smallest integer, form an equation and solve it to find the smallest of the three integers.
- 2.Four sequences are shown below. Sequence P: 4, 8, 16, 32, ... Sequence Q: 4, 8, 12, 16, ... Sequence R: 4, 7, 12, 19, ... Sequence S: 4, 9, 16, 25, ... Work out which of the sequences P, Q, R and S is geometric.
- 3.Which of these is a formula?
- 4.A straight line passes through the points (2, 7) and (5, 16). Work out the value of y when x = 0.
- 5.A sequence has the position-to-term rule n² + 1, where n is the position number. Work out how much bigger the 5th term is than the 4th term.
- 6.Work out the gradient of the straight line that passes through the points (−1, 5) and (3, −7).
- 7.Solve the simultaneous equations x + y = 15 and x − y = 3. Work out the value of x.
- 8.Write down the expression that means the same as 'subtract 5 from n, then divide the result by 2'.
- 9.Which expression is equivalent to 3(x + 4) − 2(x − 1)?
- 10.The first four terms of a sequence are 11, 18, 25, 32. Ravi thinks the nth term is 7n. Work out the correct expression for the nth term.
- 11.Make c the subject of the formula k = 6c.
- 12.A square has sides of length y cm. Write down an expression for the perimeter of the square.
- 13.a = 2 and b = 5. Work out the value of ab².
- 14.A rectangle has area 24x + 18. Ffion factorises the area as 6(4x + 3). Work out the value of the area when x = 2, and decide whether 6 and (4x + 3) are correctly identified as factors of 24x + 18.
- 15.Here are the first five terms of an arithmetic sequence: 2, 5, 8, 11, 14. Work out the 8th term.
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