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.Write down 0.2x with its coefficient written as a fraction in its simplest form.
- 2.A rectangle has length (2x + 5) cm and width (x − 2) cm. Work out an expression, in terms of x, for the perimeter of the rectangle. Give your answer in its simplest form.
- 3.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.
- 4.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 5.A conversion graph shows that 5 miles is equivalent to 8 kilometres. Use this to work out how many kilometres are equivalent to 20 miles.
- 6.The diagram shows a straight line passing through the origin, drawn on a numbered grid. Which of these points lies on the line?
- 7.Write down the gradient of the line with equation y = −x + 3.y = −x + 3
- 8.The simultaneous equations x = 2 and x + y = 9 are given. Work out the value of y.
- 9.Solve x − 4 = −9
- 10.A mobile phone plan charges a fixed monthly fee plus an amount for each gigabyte of data used. The total cost £C for using g gigabytes in a month is given by C = 15 + 2g. What does the number 2 represent in this formula?
- 11.Make x the subject of the formula y = 4(x − 6).
- 12.The first four terms of a sequence are 9, 14, 19, 24. Work out an expression, in terms of n, for the nth term.
- 13.How many turning points does the graph of y = x² − 7x + 10 have?y = x² − 7x + 10
- 14.A number, n, is doubled and then 7 is subtracted. The result is 15. Form an equation and solve it to find n.
- 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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