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.
Non-calculator
Algebra worksheet — GCSE Higher
MathsUKwww.geekhero.co.uk
- 1.A colony of bacteria doubles in number every hour. At 9am there are 5 bacteria in the colony. Work out how many bacteria there will be at 12 noon.
- 2.Factorise 6x² − 7x − 3.
- 3.A cyclist's velocity increases from 3 m/s to 11 m/s over 5 seconds, at a constant rate. Work out the cyclist's acceleration, in m/s².
- 4.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 5.Which of these statements is an identity?
- 6.A region S consists of every point that lies on or above the line y = 2, on or below the line y = x, and on or to the left of the line x = 6. Which of these is the system of inequalities that defines S?y = x
- 7.Ben is asked to find the inverse of f(x) = 4 − 3x. He writes f⁻¹(x) = (4 − x)/3. Which statement about Ben's answer is correct?
- 8.Work out the integer values of x that satisfy x² − 2x − 8 ≤ 0.
- 9.Two numbers have a sum of 45. The larger number is 9 more than the smaller number. Form an equation using n for the smaller number, and solve it to find the larger number.
- 10.Expand and simplify (x + 1)(x + 2)(x + 3).
- 11.A rectangle has area 24x + 18. Ffion factorises the area as 6(4x + 3). Work out the value of the area when x = 2, and decide whether 6 and (4x + 3) are correctly identified as factors of 24x + 18.
- 12.Which of these statements is an equation with exactly one solution?
- 13.Which expression means 'triple c, then add double d'?
- 14.The simultaneous equations kx + 2y = 4 and 3x + y = 5 have no solution. Work out the value of k.
- 15.The first four terms of a sequence are 9, 14, 19, 24. Work out an expression, in terms of n, for the nth term.
Build your own mix at the worksheet builder.