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.Factorise x² − 3x − 10.
- 2.Factorise fully 12x² + 18x.
- 3.A sequence begins at 7. Each term after the first is found by adding 6 to the term before it. Work out the 6th term of the sequence.
- 4.Amelia is buying books. Each book costs £5 and she has at most £30 to spend. Write down an inequality for x, the number of books she can buy.
- 5.Work out the equation of the straight line through the points (−3, 4) and (1, −8).
- 6.Which of these is an equation, rather than an expression, a formula or an identity?
- 7.The diagram shows the graph of a quadratic function. Write down the values of x where the graph crosses the x-axis.
- 8.Which of these rules generates the sequence 6, 11, 16, 21, …?
- 9.The volume of a cuboid is given by the formula V = lwh. Work out V, in cm³, when l = 2, w = 3 and h = 6.
- 10.p = 4. Work out the value of 2p³.
- 11.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.
- 12.Two numbers have a sum of 45. The larger number is 9 more than the smaller number. Form an equation using n for the smaller number, and solve it to find the larger number.
- 13.The mean of four numbers is 12.5. Three of the numbers are 8, 15 and 19. Form an equation using n for the fourth number, and solve it to find n.
- 14.A number machine adds 5 to its input. Work out the output when the input is 0.
- 15.Write down the coefficient of xy in the expression 4x²y − 7xy + 2.
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