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.Write down 0.2x with its coefficient written as a fraction in its simplest form.
- 2.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 3.Work out the gradient of the straight line that passes through the points (−1, 5) and (3, −7).
- 4.Expand 2(x − 13)
- 5.Solve the inequality 2(x − 1) ≤ 8.
- 6.A box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.
- 7.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.
- 8.A straight line has equation y = 4 − 3x. Work out the gradient of the line.
- 9.Write down the first four terms of the sequence with nth term 6n − 5.
- 10.The simultaneous equations 2x + 3y = 12 and x − y = 1 are given. Work out the value of y.
- 11.a = 2 and b = 5. Work out the value of ab².
- 12.A geometric sequence has first term 5, and each term after that is 3 times the term before it. Work out the first term of the sequence that is greater than 1000.
- 13.Here are the first four terms of an arithmetic sequence: 5, 9, 13, 17. Work out the 5th term.
- 14.Solve 2x + 7 = x + 13
- 15.Solve the inequality x + 5 < 12.
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