Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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5th June 2025

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

  1. 1
    Probability Equation Questions3 marks

    The probability of winning a game is 2/5. A player expects 26 wins. How many games did they play?

  2. 2
    Histograms3 marks

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

  3. 3
    Surds3 marks

    Simplify sqrt(20) + sqrt(5), giving your answer in the form a sqrt(b).

  4. 4
    Quadratic Simultaneous Equations3 marks

    Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 5, y = 4. Work out y when x = 2.

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