Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

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8th March 2026

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Probability Equation Questions3 marks

    A bag holds 4 red and n blue counters. The probability of taking a red is 2/3. Work out n.

  2. 2
    Histograms3 marks

    A histogram has four 20-wide classes from 0, with frequency densities 2, 3, 0.5, 1. Which class contains the median?

  3. 3
    Bounds3 marks

    x = 150 and y = 42, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    Proof2 marks

    In an algebraic proof, how would you write the square of an odd number in terms of an integer n?

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 36, y = 30. Work out y when x = 16.

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