Daily Practice · Higher

Daily Practice - Higher

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

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20th September 2025

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Spheres and Cones3 marks

    A cone has base radius 6 cm and vertical height 18 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
    Box Plots2 marks

    A box plot has minimum 8, lower quartile 11, median 18, upper quartile 27 and maximum 29. Work out the interquartile range.

  4. 4
    Standard Form2 marks

    Work out (7 x 10^3) x (9 x 10^-5). Give your answer in standard form.

  5. 5
    Inequalities on Graphs2 marks

    A region is defined by y <= -5x - 7. Should the boundary line be solid or dashed, and why?

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