Daily Practice · Higher

Daily Practice - Higher

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

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13th September 2025

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

  1. 1
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 4, y = 96. Work out y when x = 7.

  2. 2
    Congruent Triangles2 marks

    Two triangles are known to be congruent because both are right-angled with equal hypotenuses and one other equal side. Which congruence condition is this?

  3. 3
    Conditional Probability3 marks

    21 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

  4. 4
    Box Plots2 marks

    A box plot has minimum 2, lower quartile 9, median 14, upper quartile 22 and maximum 28. Work out the interquartile range.

  5. 5
    The Product Rule for Counting2 marks

    A meal deal has 5 mains, 5 sides and 6 drinks. How many different meals are possible?

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