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.Solve the simultaneous equations 3x + y = 14 and x + y = 6. Work out the value of x.
- 2.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.
- 3.Solve 2(x + 3) = 10
- 4.A conversion graph shows that 5 miles is equivalent to 8 kilometres. Use this to work out how many kilometres are equivalent to 20 miles.
- 5.A rectangular sheep pen has perimeter P, length l and width w, connected by the formula P = 2l + 2w. A farmer has 60 m of fencing for the perimeter and sets the width at 8 m. Work out the length of the pen.
- 6.A water butt holds 200 litres and is being drained at a steady 8 litres per minute. Write down the function for the amount of water y, in litres, left after x minutes.
- 7.Which of these is an equation, rather than an expression, a formula or an identity?
- 8.The first five cube numbers are 1, 8, 27, 64, 125. Write down the next cube number in the sequence.
- 9.A number machine adds 5 to its input. Work out the output when the input is 0.
- 10.y = 5 − 2x. Work out the value of x when y = 11.
- 11.Which of these is a formula?
- 12.Solve 5(x + 3) = 40
- 13.In which quadrant does the point (−3, 0.5) lie?
- 14.Write down the expression that means the same as m² × m × 3.
- 15.Given that (x + 2)(x − 7) = 0, write down the two solutions of x.
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