Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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13th March 2025

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 8 red and n blue counters. The probability of taking a red is 4/5. Work out n.

  2. 2
    Histograms3 marks

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

  3. 3
    Surds3 marks

    Simplify sqrt(45) + sqrt(20), giving your answer in the form a sqrt(b).

  4. 4
    Transforming Graphs y=f(x)3 marks

    The point (-2, -6) lies on y = f(x). Write down its image on y = f(x) + 5.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 25.

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