Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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24th June 2026

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Probability Equation Questions3 marks

    A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.

  2. 2
    Histograms3 marks

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

  3. 3
    Bounds3 marks

    A rectangle is 30 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.

  4. 4
    Rearranging Harder Formulae3 marks

    Make x the subject of 3x + 7 = y(x + 7).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 3, y = 75. Work out y when x = 5.

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