Daily Practice · Higher

Daily Practice - Higher

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

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16th August 2025

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

  1. 1
    Conditional Probability3 marks

    29 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

  2. 2
    Box Plots2 marks

    A box plot has minimum 11, lower quartile 15, median 22, upper quartile 25 and maximum 33. Work out the interquartile range.

  3. 3
    Surds2 marks

    Write sqrt(20) in the form a sqrt(b), where b is as small as possible.

  4. 4
    Solving Quadratics3 marks

    Solve x^2 + 15x + 56 = 0.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 6.

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