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.A straight line has gradient 3 and passes through the point (1, 4). Work out the equation of the line.
- 2.Two numbers have a sum of 50. The larger number is twice the smaller number. Work out the smaller number.
- 3.A number machine multiplies its input by 3 and then adds 7. The output is 1. Work out the input.
- 4.Make x the subject of the formula y = x/2 − 5.y = x
- 5.A geometric sequence has first term 3 and common ratio √3. Work out the position of the first term of the sequence that exceeds 30.
- 6.When a number is added to its square the result is 30. Work out the possible values of the number.
- 7.A straight line passes through the points (2, 7) and (5, 16). Work out the value of y when x = 0.
- 8.Write down the first four terms of the sequence with nth term 6n − 5.
- 9.Make x the subject of the formula y = 5x + 3.y = 5x + 3
- 10.For the equation 2x + 3 = 11, and the inequality 2x + 3 > 11, which statement correctly compares their solutions?
- 11.The curve y = 2x² − 12x + 7 has a minimum point. By completing the square, find the value of x at which the minimum occurs.y = 2x² − 12x + 7
- 12.Work out the value of 3a − 2b when a = 5 and b = 4
- 13.Two brothers have ages that add up to 30. The elder brother is 6 years older than the younger brother. Work out the age of the younger brother.
- 14.A box holds n pencils. A shop has 6 full boxes and 4 loose pencils. All of these pencils are shared equally between 2 classes. Write down the expression for the number of pencils each class receives.
- 15.A sequence is defined by aₙ = aₙ₋₁ + aₙ₋₂ for n ≥ 3. Given that a₃ = 11 and a₅ = 29, work out a₁.
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