Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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5th July 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 1/2. A player expects 50 wins. How many games did they play?

  2. 2
    Histograms3 marks

    On a histogram the bar for 30 < x <= 40 has a frequency density of 1.2. How many values are in that class?

  3. 3
    Bounds3 marks

    A car covers 220 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  4. 4
    Inverse and Composite Functions3 marks

    f(x) = 5x + 8 and g(x) = 3x + 9. Work out fg(-3).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.

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