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.Which expression is equivalent to 2(x + 6)?
- 2.A taxi fare in pounds is given by F = 2.50 + 1.20m, where m is the number of miles travelled. Sam takes a taxi for a journey of 6 miles. Work out the fare.
- 3.Solve 6x − 5 = 3x + 13.
- 4.A straight line has equation 4y = 12x + 20. Work out the gradient of the line.y = 12x + 20
- 5.Two numbers have a sum of 50. The larger number is twice the smaller number. Work out the smaller number.
- 6.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 7.Expand 7(a + 8)
- 8.The formula y = x² + 1 gives y in terms of x. Work out the value of y when x = −2.y = x² + 1
- 9.Solve 6x + 4 = 28
- 10.A straight line passes through the points (0, 4) and (1, 9). Write down the gradient of the line.
- 11.Ethan is 10 years old and his father is 40 years old. Work out how many years ago Ethan's father was seven times as old as Ethan.
- 12.Work out the value of 4p² − 3 when p = 2.5
- 13.Solve 3(2x − 1) = 27
- 14.A cycle route is 84 km long. Freya sets off along it at a steady 14 km/h. Write down the function for the distance y, in kilometres, that is still to be cycled after x hours.
- 15.A plumber charges a call-out fee of £30 plus £25 for each hour worked. The total bill for a job was £130. Work out how many hours the plumber worked.
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