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.Line L has equation y = 3x − 2. Work out the gradient of a line perpendicular to L.y = 3x − 2
- 2.A straight line passes through the points (2, 7) and (5, 16). Work out the value of y when x = 0.
- 3.Which expression is equivalent to 6x − (2x − 5)?
- 4.Work out the values of x and y that satisfy both x + y = 10 and x − y = 4.
- 5.Which expression means 'y squared, multiplied by 3'?
- 6.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 7.Simplify 5a/6 − a/3
- 8.Line C passes through (0, 0) and (4, 2). Line D passes through (0, 0) and (2, 2). Write down which of the two lines is the steeper.
- 9.The solution set of a quadratic inequality is {x : x ≤ −3} ∪ {x : x ≥ 5}. Which of these inequalities has this solution set?
- 10.Which expression means 'triple c, then add double d'?
- 11.To solve 5x − 4 = 2x + 8, Chloe's working is shown. Line 1: 5x − 4 = 2x + 8. Line 2: 3x − 4 = 8. Line 3: 3x = 4. Line 4: x = 4/3. Chloe has made a mistake in her working. Which line contains the mistake?
- 12.A circle has equation x² + y² = 49. Work out the coordinates of the point(s) on the circle where the tangent is horizontal.
- 13.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?
- 14.f(x) = 3x − 2. Find f⁻¹(x).y = 3x − 2
- 15.A rectangular lawn is 4 m longer than it is wide. Its area is 96 m². Work out the length of the lawn.
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