Daily Practice · Higher

Daily Practice - Higher

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

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31st May 2025

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

  1. 1
    Box Plots2 marks

    A box plot has minimum 3, lower quartile 8, median 18, upper quartile 21 and maximum 27. Work out the interquartile range.

  2. 2
    Surds2 marks

    Write sqrt(18) in the form a sqrt(b), where b is as small as possible.

  3. 3
    Inequalities on Graphs2 marks

    A region is defined by y <= -3x + 4. Should the boundary line be solid or dashed, and why?

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 2.

  5. 5
    Spheres and Cones3 marks

    A cone has base radius 10 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.

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