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.A rectangle has length k cm and width 5 cm less than its length. Write down an expression for the width of the rectangle, in cm.
- 2.Solve 2(x + 3) = 10
- 3.Solve 2x + 1 = 9
- 4.Solve 5x² − 15x = 0.
- 5.Work out the value of 5y + 9 when y = 0
- 6.Solve 5x + 2 = 17.
- 7.Simplify 5x + 3y − 2x + y.
- 8.Solve 4x − (2x − 6) = 18
- 9.A sequence has the position-to-term rule: the term is the position number multiplied by itself. Its first five terms are 1, 4, 9, 16, 25. Work out the 8th term.
- 10.The nth term of a sequence is n² + 3. Work out the first term of the sequence that is greater than 50.
- 11.A rule turns each input into an output. An input of 0 gives an output of −1, an input of 1 gives an output of 1, and an input of 2 gives an output of 3. Work out the rule, writing the input as x and the output as y.
- 12.Six years ago Harry was three times as old as his brother Leo. Harry is now 24 years old. Work out Leo's age now.
- 13.Make x the subject of the formula y = x/2 − 5.y = x
- 14.A square has sides of length y cm. Write down an expression for the perimeter of the square.
- 15.A taxi charges a fixed fee of £3 plus £2 for every mile travelled. The journey is m miles. Write down an expression for the total cost, in pounds.
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