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
MathsUKwww.geekhero.co.uk
- 1.Solve 4x² − 9 = 0.
- 2.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 3.Which of these equations gives a graph shaped like a U, symmetrical about a vertical line?
- 4.Expand and simplify 2(a + 6) − 2(a − 7)
- 5.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.
- 6.Make x the subject of the formula y = 4(x − 6).
- 7.Solve 2x − 2 = 2
- 8.The formula for converting a temperature from degrees Celsius, C, to degrees Fahrenheit, F, is F = 1.8C + 32. Work out F when C = 20, and identify what kind of mathematical statement F = 1.8C + 32 is.
- 9.Meera writes the statement 3(x + 4) = 3x + 12. Which of these correctly describes what she has written, with a reason?
- 10.A ferry's distance-time graph is a straight line from (0 minutes, 0 km) to (25 minutes, 15 km). Work out the ferry's speed in kilometres per hour.
- 11.Simplify k + k + k + k + k.
- 12.Solve 4(x − 3) = 2x + 6.
- 13.Work out the value of n² − n when n = −3
- 14.A rule turns each input into an output. An input of 0 gives an output of −1, an input of 1 gives an output of 1, and an input of 2 gives an output of 3. Work out the rule, writing the input as x and the output as y.
- 15.A square has sides of length y cm. Write down an expression for the perimeter of the square.
Build your own mix at the worksheet builder.