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 first four terms of a sequence are 18, 15, 12, 9. Work out an expression, in terms of n, for the nth term.
- 2.An arithmetic sequence has first term 40 and common difference −6. Work out the 9th term of the sequence.
- 3.A taxi fare in pounds is given by F = 2.50 + 1.20m, where m is the number of miles travelled. Sam takes a taxi for a journey of 6 miles. Work out the fare.
- 4.Solve 6x + 4 = 28
- 5.A packet contains s sweets. The sweets are shared equally between f friends. Write an expression for the number of sweets each friend receives.
- 6.Which expression is equivalent to 7x − 3(2x − 6)?
- 7.Write down the expression that means the same as p + p + p + q.
- 8.A straight line has gradient −3 and passes through the point (0, 1). Work out the value of y when x = 2.
- 9.Grace has t books. Noah has 1 book fewer than Grace. Write down an expression for the number of books Noah has.
- 10.Work out the y-intercept of the graph of y = x² + 3x − 10.y = x² + 3x − 10
- 11.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.
- 12.A rule turns each input x into an output y. An input of 1 gives an output of 1, an input of 2 gives an output of 4 and an input of 3 gives an output of 9. Work out the rule.
- 13.Work out the value of m² + 3m when m = −2
- 14.A square has sides of length y cm. Write down an expression for the perimeter of the square.
- 15.y = x + 10. Work out the value of y when x = 0.y = x + 10
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