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.Simplify 2b − 1 + 2b − 4 + 2b
- 2.The simultaneous equations 2x + 3y = 12 and x − y = 1 are given. Work out the value of y.
- 3.Make m the subject of the formula w = m − 8.
- 4.Factorise fully 5x + 5y − 5
- 5.Two numbers have a sum of 50. The larger number is twice the smaller number. Work out the smaller number.
- 6.Expand and simplify 2(a + 6) − 2(a − 7)
- 7.Simplify 5a/6 − a/3
- 8.A geometric sequence begins 162, 54, 18, 6, ... Work out the next term in the sequence.
- 9.Solve 2x + 7 = x + 13
- 10.Solve the inequality 3x + 6 ≤ 0.
- 11.The first term of an arithmetic sequence is 5, and each term after that increases by 6. Work out the 8th term of the sequence.
- 12.Write down the first four terms of the sequence with nth term 6n − 5.
- 13.A rule multiplies the input by a fixed number and then adds a fixed number. An input of 1 gives an output of 5, and an input of 3 gives an output of 11. Work out the rule, writing the input as x and the output as y.
- 14.A rectangular garden has length (x + 7) m and width (x − 7) m. Work out an expression for the area of the garden, giving your answer in its simplest form.
- 15.The formula for converting a temperature from degrees Celsius, C, to degrees Fahrenheit, F, is F = 1.8C + 32. Work out F when C = 20, and identify what kind of mathematical statement F = 1.8C + 32 is.
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