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.A geometric sequence has first term 3 and common ratio 2. Work out the 5th term of the sequence.
- 2.A rope of length L metres is cut into 6 equal pieces, and 4 metres is then removed from one piece. Write an expression, in metres, for the length of that piece after the cut.
- 3.Which expression means the same as 3 × a × b?
- 4.In which quadrant does the point (−3, 0.5) lie?
- 5.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 6.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 7.A cyclist's journey is shown on a distance–time graph. The graph is a straight line from (0 minutes, 0 km) to (40 minutes, 12 km). Work out her speed in kilometres per hour.
- 8.y = 5x − 1. Work out the value of y when x = 3.y = 5x − 1
- 9.A car's fuel tank contains 50 litres when it starts a journey. After travelling for 2 hours, it contains 38 litres, and fuel is used at a constant rate. Work out the rate at which fuel is used, in litres per hour.
- 10.The first five square numbers are 1, 4, 9, 16, 25. Write down the next square number in the sequence.
- 11.Write down the coordinates of the point where the line y = 2x + 4 crosses the y-axis.y = 2x + 4
- 12.Solve 2(x + 3) = 10
- 13.Solve the inequality 2(x − 1) ≤ 8.
- 14.A printer starts a job with 480 sheets of paper loaded and prints at a steady rate. The number of sheets left, S, after t minutes is given by S = 480 − 24t. Work out how many minutes it takes for the paper to run out completely.
- 15.The expression 6n + 15 is written as 3(2n + 5). Which statement is correct?
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