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.The nth term of a sequence is 2n² + 1. Work out the 4th term of the sequence.
- 2.Priya says that x = 6 is the solution of the equation 4x + 8 = 24. Priya is wrong. Work out the correct value of x.
- 3.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 4.Which of these equations is true for every value of x, making it an identity rather than an equation with just one solution?
- 5.Three consecutive integers add up to 72. Using n for the smallest integer, form an equation and solve it to find the smallest of the three integers.
- 6.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 7.A sequence has the position-to-term rule: the term is the square of the position number. Its first four terms are 1, 4, 9, 16. Work out the 10th term.
- 8.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 9.y = 5x − 1. Work out the value of y when x = 3.y = 5x − 1
- 10.The first five terms of a sequence are 6, 10, 14, 18, 22. Work out an expression, in terms of n, for the nth term.
- 11.Solve x − 4 = −9
- 12.Work out the gradient of the straight line with equation 2x + y = 8.
- 13.y = 5 − 2x. Work out the value of x when y = 11.
- 14.Write down the coefficient of p in the expression 7 − 4p + 9q.
- 15.A gym charges a joining fee plus a monthly fee. Anna paid £100 in total after 3 months of membership. Ben paid £160 in total after 6 months of membership (same joining fee and monthly fee as Anna). Work out the monthly fee.
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