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.
Algebra worksheet — GCSE Foundation
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- 1.Factorise fully 56x − 24
- 2.Sophie's mother is 34 years old. In x years' time she will be 50 years old. Work out the value of x.
- 3.Which of these is a factor of 15x + 20?
- 4.Solve 2x² − 32 = 0.
- 5.Expand and simplify 4(2x − 1) − 3(x + 2) − 5x
- 6.Harry will spend at most £150 on a party. The cake costs £60 and each helium balloon costs £3. Solve an inequality to find all the possible numbers of balloons, x, that he can buy.
- 7.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 8.A wall is tiled in rows, and every row uses the same number of tiles. One row uses 10 tiles, two rows use 20 tiles and three rows use 30 tiles. Work out how many tiles are needed for 7 rows.
- 9.Simplify k + k + k + k + k.
- 10.The graph of y = mx + 6 passes through the point (−2, 0). Work out the value of m.
- 11.Work out the value of m² + 3m when m = −2
- 12.A plumber charges a call-out fee plus an hourly rate for a job. The total cost, £C, for a job lasting h hours is given by the formula C = 40 + 25h. What does the number 40 represent in this formula?
- 13.The equation 3(2x − 1) = 4x + 9 is rearranged by expanding the brackets. Which of these is the correctly expanded equation?
- 14.The graph of W = 840 ÷ L shows how the width, W metres, of a rectangular field of area 840 m² depends on its length, L metres. Use the relationship to work out the width when the length is 35 m, and hence the perimeter of the field.
- 15.Which of these statements is an equation with exactly one solution?
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