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.
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Algebra worksheet — GCSE Foundation
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- 1.Factorise fully 12x² + 18x.
- 2.A straight line has gradient 3 and passes through the point (1, 4). Work out the equation of the line.
- 3.Make x the subject of the formula y = 5x + 3.y = 5x + 3
- 4.The nth term of a sequence is 2n − 1. Work out the 6th term of the sequence.
- 5.Solve the simultaneous equations x + y = 15 and x − y = 3. Work out the value of x.
- 6.A sequence has the position-to-term rule n² + 2, where n is the position number. Work out the 6th term.
- 7.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 8.The first four terms of a sequence are 11, 18, 25, 32. Ravi thinks the nth term is 7n. Work out the correct expression for the nth term.
- 9.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 10.An equation has exactly one value of x that makes it true, but an identity is true for every value of x. Which of these best explains why 3x + 5 = 20 is an equation rather than an identity?
- 11.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.
- 12.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.
- 13.Write down the gradient of the line with equation y = 6 + 4x.
- 14.Make x the subject of the formula y = x + 7.y = x + 7
- 15.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.
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