Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

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9th May 2026

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Standard Form2 marks

    Work out (8 x 10^8) x (8 x 10^3). Give your answer in standard form.

  2. 2
    Factorising Harder Quadratics3 marks

    Factorise 2x^2 - 3x - 20.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 5, y = 150. Work out y when x = 3.

  4. 4
    Spheres and Cones3 marks

    A sphere has radius 3 cm. Work out its volume, leaving your answer in terms of pi.

  5. 5
    Probability Trees3 marks

    5 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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