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.How many turning points does the graph of y = x² − 7x + 10 have?y = x² − 7x + 10
- 2.The nth term of a sequence is 2n² + 1. Work out the 4th term of the sequence.
- 3.Solve x² = 49.
- 4.A straight line has gradient 3 and passes through the point (1, 4). Work out the equation of the line.
- 5.A tree is 2 metres tall. Each year its height increases by 10% of its height at the start of that year. Work out the height of the tree after 3 years, giving your answer to 1 decimal place.
- 6.Factorise x² − 3x − 10.
- 7.A rectangle has length k cm and width 5 cm less than its length. Write down an expression for the width of the rectangle, in cm.
- 8.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.
- 9.A fundraising chain letter starts with 3 people taking part in round 1. Each following round has 4 times as many people taking part as the round before. Work out the number of people taking part in round 4.
- 10.Which of these is a formula?
- 11.Which expression is equivalent to 7x − 3(2x − 6)?
- 12.Which of these statements is an equation with exactly one solution?
- 13.Solve x² − 2x − 24 = 0.
- 14.A student says that (x + 4)² is equivalent to x² + 16. For which value of x do the two expressions give the SAME result, making it look (misleadingly) like the student could be right?
- 15.A rule multiplies the input by a fixed number and then adds a fixed number. An input of 1 gives an output of 5, and an input of 3 gives an output of 11. Work out the rule, writing the input as x and the output as y.
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