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 formula for the area of a trapezium is A = (a + b)h / 2, where a and b are the parallel side lengths and h is the height. Make h the subject of the formula.
- 2.An arithmetic sequence has first term 40 and common difference −6. Work out the 9th term of the sequence.
- 3.The nth term of a sequence is 4n − 3. Work out the 7th term of the sequence.
- 4.Which expression is equivalent to 7x − 3(2x − 6)?
- 5.Solve 5x − 9 = 16
- 6.A straight line has equation y = 4x + 3. A second line is parallel to the first line and passes through the point (0, −5). Work out the equation of the second line.y = 4x + 3
- 7.A taxi charges a £3 fixed fee plus £2 for each mile travelled. Write an expression, in pounds, for the total cost of a journey of n miles.
- 8.A sequence has the position-to-term rule: the nth term is 3n. Write down the first four terms of the sequence.
- 9.A rectangle has width x cm. Its length is 3 cm more than its width. The perimeter of the rectangle is 38 cm. Form an equation and solve it to find x.
- 10.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 11.In the expression 5x² − 3x + 7, which of these is a single term of the expression?
- 12.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 13.To solve 6x − 4 = 2x + 20, Yusuf's first step is to subtract 2x from both sides. Work out what equation this gives.
- 14.Work out the value of 3n − 2 when n = 1
- 15.A rule turns each input x into an output y. The inputs are x = 1, 2, 3, 4 and the matching outputs are y = −5, −3, −1 and one missing value. Work out the missing value of y.
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