Daily Practice · Higher

Daily Practice - Higher

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

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6th March 2026

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

  1. 1
    Direct and Inverse Proportion3 marks

    y is directly proportional to x. When x = 5, y = 10. Work out y when x = 15.

  2. 2
    Spheres and Cones3 marks

    A sphere has radius 9 cm. Work out its volume, leaving your answer in terms of pi.

  3. 3
    Probability Trees3 marks

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

  4. 4
    Capture Recapture2 marks

    A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.

  5. 5
    Standard Form3 marks

    Work out (21 x 10^8) / (3 x 10^2). Give your answer in standard form.

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