Daily Practice · Higher

Daily Practice - Higher

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

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11th February 2026

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Spheres and Cones3 marks

    A cone has base radius 5 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.

  2. 2
    Probability Trees3 marks

    A bag holds 5 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.

  3. 3
    Cumulative Frequency2 marks

    Four classes in order have frequencies 10, 6, 12, 6. Write down the cumulative frequency at the end of the third class.

  4. 4
    Reverse Percentages3 marks

    A bill is £144 including VAT at 20%. Work out the amount before VAT.

  5. 5
    Inequalities on Graphs2 marks

    A region is defined by y < 5x + 1. Should the boundary line be solid or dashed, and why?

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