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.Kai writes the expression 8 − 3x + 5x² and says it has three terms. Ryan says it only has two terms because a number on its own is not a term. Work out the correct number of terms in the expression.
- 2.A student solves the simultaneous equations 2x + y = 11 and x − y = 1 by elimination, adding the two equations together. Which of these is the correct result of that step?
- 3.Which of these statements is an identity?
- 4.A sequence has the position-to-term rule: the term is the position number multiplied by itself. Its first five terms are 1, 4, 9, 16, 25. Work out the 8th term.
- 5.Solve 3(2x − 1) = 27
- 6.Which expression is equivalent to 5x − (x + 3)?
- 7.The simultaneous equations 2x + 3y = 12 and x − y = 1 are given. Work out the value of y.
- 8.The first four terms of a sequence are 2, 6, 10, 14. Priya says the nth term is 4n. Work out the correct expression for the nth term.
- 9.Solve x² − 6x = 0.
- 10.The formula for the perimeter of a square is P = 4s, where s is the side length. Make s the subject of the formula.
- 11.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 12.The point A lies on the x-axis. Which statement about A must be true?
- 13.A car park charges a £4 fixed fee plus £3 for each hour. Kofi has exactly £25 to spend on parking. Using the inequality 4 + 3h ≤ 25, work out the greatest number of whole hours, h, he can park for.
- 14.Solve 4(x − 3) = 2x + 6.
- 15.A pizza shop charges a fixed delivery fee of £3, plus £9 for each pizza ordered. Write down the function for the total cost y, in pounds, of ordering x pizzas.
Build your own mix at the worksheet builder.