Printable · GCSE Higher · ages 14-16
Algebra worksheet — GCSE Higher
Fifteen questions across the algebra statements at Higher 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 Higher
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- 1.Solve the inequality 4x + 1 > 2x + 9.
- 2.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.
- 3.Solve the inequality 2(x − 1) ≤ 8.
- 4.Which of these statements is an equation with exactly one solution?
- 5.A zip-line runs from a platform 25 m high to a landing point 5 m high, over a horizontal distance of 40 m. Work out the gradient of the zip-line.
- 6.Work out the value of 2x² when x = −3
- 7.Solve 2x² − 32 = 0.
- 8.Work out the values of x and y that satisfy both x + y = 10 and x − y = 4.
- 9.A sequence has the position-to-term rule n² − 3, where n is the position number. Work out the difference between the 6th term and the 5th term.
- 10.A scout leader is 44 years old and one of the scouts is 16 years old. Work out how many years it will be until the leader is exactly twice as old as the scout.
- 11.Expand and simplify (x + 1)(x + 2)(x + 3).
- 12.Which of these equations is equivalent to 5x − 2 = 3x + 8?
- 13.An arithmetic sequence has first term 40 and common difference −6. Work out the 9th term of the sequence.
- 14.Solve the inequality x² + 6x + 9 > 0.
- 15.A phone plan costs a fixed £15 per month plus 8p per minute of calls. In one month, Jamal's bill was £23.80. Form an equation using m for the number of minutes, and solve it to find how many minutes Jamal used that month.
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