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.Which of these is a factor of 15x + 20?
- 2.A sequence has the position-to-term rule 5n − 2, where n is the position number. Which of these is a term in the sequence?
- 3.The point A is at (5, −3). In which quadrant does A lie?
- 4.The nth term of a sequence is 4n − 3. Work out the 7th term of the sequence.
- 5.For the graph of y = 1/x, where x cannot be zero, which of these statements is correct?
- 6.A quadratic graph y = ax² + bx + c has its turning point on the y-axis. Which statement about its roots must be true?
- 7.Write down the coefficient of xy in the expression 4x²y − 7xy + 2.
- 8.A geometric sequence has first term 3 and common ratio 2. Work out the 5th term of the sequence.
- 9.Which expression is equivalent to 3(2x − 5) + 4x?
- 10.The first four terms of a sequence are 5, 8, 11, 14. Work out an expression, in terms of n, for the nth term.
- 11.A geometric sequence begins 162, 54, 18, 6, ... Work out the next term in the sequence.
- 12.The point A lies on the x-axis. Which statement about A must be true?
- 13.A number machine adds 6 to its input. Work out the output when the input is −4.
- 14.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.
- 15.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
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