Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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11th February 2025

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 3 red and n blue counters. The probability of taking a red is 1/3. Work out n.

  2. 2
    Histograms3 marks

    On a histogram the bar for 0 < x <= 10 has a frequency density of 1.5. How many values are in that class?

  3. 3
    Surds3 marks

    Expand and simplify (3 + sqrt(7))(3 - sqrt(7)).

  4. 4
    Factorising Harder Quadratics3 marks

    Solve 6x^2 - 7x + 2 = 0.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.

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