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.
Algebra worksheet — GCSE Higher
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- 1.Which expression is equivalent to 3(2x − 5) + 4x?
- 2.Factorise x² − 64.
- 3.Work out the coordinates of the point where the graph of y = 2x − 6 crosses the x-axis.y = 2x − 6
- 4.Expand and simplify (x − 3)²
- 5.Work out the value of 2x² when x = −3
- 6.Solve 3x + 14 = 8x − 6
- 7.Which expression means 'y squared, multiplied by 3'?
- 8.Work out the value of the discriminant b² − 4ac for the equation 2x² + 3x − 2 = 0.
- 9.The graph of y = x² + 2x − 15 crosses the x-axis at two points. By factorising, work out the x-coordinates of these two points.y = x² + 2x − 15
- 10.Work out the value of 3a − 2b when a = 5 and b = 4
- 11.f(x) = x² − 1 and g(x) = 3x. Work out fg(4).y = x² − 1
- 12.Solve 5(x + 3) = 40
- 13.A gym charges a joining fee plus a monthly fee. Anna paid £100 in total after 3 months of membership. Ben paid £160 in total after 6 months of membership (same joining fee and monthly fee as Anna). Work out the monthly fee.
- 14.A sequence has nth term 3n + 4. Two terms are missing from the list of its first five terms: 7, 10, _, 16, _. Work out the missing 3rd and 5th terms added together.
- 15.Solve the inequality 2(x − 1) ≤ 8.
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