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 inequality 5x − 3 > 2x + 9.
- 2.The nth term of a sequence is 2n² + 1. Work out the 4th term of the sequence.
- 3.A sequence has the position-to-term rule n² + 2, where n is the position number. Work out the 6th term.
- 4.The diagram shows the graph of a quadratic function. Write down the values of x where the graph crosses the x-axis.
- 5.Solve x² + 7x = 0.
- 6.A number machine adds 6 to its input. Work out the output when the input is −4.
- 7.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 8.The first five cube numbers are 1, 8, 27, 64, 125. Write down the next cube number in the sequence.
- 9.Solve 4(x − 3) = 2x + 6.
- 10.Expand and simplify (x − 3)²
- 11.A box holds n pencils. A shop has 6 full boxes and 4 loose pencils. All of these pencils are shared equally between 2 classes. Write down the expression for the number of pencils each class receives.
- 12.Harry is 14 years old and Mia is 8 years old. Will Harry ever be exactly twice as old as Mia? Give a reason for your answer.
- 13.A square has sides of length y cm. Write down an expression for the perimeter of the square.
- 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 is a term, rather than a whole expression, an equation, or a formula?
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