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.A theatre's front row has 18 seats. Each row behind has 4 more seats than the row in front. Which row has exactly 62 seats?
- 2.Grace has t books. Noah has 1 book fewer than Grace. Write down an expression for the number of books Noah has.
- 3.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.
- 4.A rule multiplies the input by a fixed number and then adds a fixed number. An input of 1 gives an output of 5, and an input of 3 gives an output of 11. Work out the rule, writing the input as x and the output as y.
- 5.Which of these values of x is a solution of x² + 2x − 15 = 0?
- 6.A sequence has the position-to-term rule: the term is the square of the position number. Its first four terms are 1, 4, 9, 16. Work out the 10th term.
- 7.The formula connecting distance (d), speed (s) and time (t) is d = st. Make s the subject of the formula.
- 8.The solution set of an inequality is x ≥ 7. Write down the value that does NOT satisfy this inequality.
- 9.The diagram shows the graph of a quadratic function. Write down the values of x where the graph crosses the x-axis.
- 10.Expand and simplify 2(a + 6) − 2(a − 7)
- 11.Simplify 2a + 3b − a + 2b − b
- 12.The simultaneous equations 2x + 3y = 12 and x − y = 1 are given. Work out the value of y.
- 13.Two numbers have a sum of 50. The larger number is twice the smaller number. Work out the smaller number.
- 14.Four sequences are shown below. Sequence P: 4, 8, 16, 32, ... Sequence Q: 4, 8, 12, 16, ... Sequence R: 4, 7, 12, 19, ... Sequence S: 4, 9, 16, 25, ... Work out which of the sequences P, Q, R and S is geometric.
- 15.Simplify k + k + k + k + k.
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