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 rectangle is x cm wide and twice as long as it is wide, so its area A cm² is given by A = 2x². Work out A when x = 3.
- 2.The formula for the circumference of a circle is C = 2πr, where r is the radius. Make r the subject of the formula.
- 3.Matchsticks are laid out as a row of squares, with each new square sharing a side with the square before it. The first square uses 4 matchsticks and every extra square uses 3 more. Work out how many matchsticks a row of 4 squares uses.
- 4.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 5.a = 3 and b = 5. Work out the value of a²b.
- 6.Solve the simultaneous equations 5x − 2y = 16 and 3x + 2y = 16. Work out the value of x.
- 7.Solve x² − 100 = 0.
- 8.Solve 3(2x − 1) = 27
- 9.Which expression is equivalent to 2(x + 6)?
- 10.Solve 3x + 14 = 8x − 6
- 11.Write down the y-intercept of the line with equation y = 3x + 8.y = 3x + 8
- 12.Factorise fully 56x − 24
- 13.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 14.A number machine adds 6 to its input. Work out the output when the input is −4.
- 15.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
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