Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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27th April 2021

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 9/10. A player expects 126 wins. How many games did they play?

  2. 2
    Histograms3 marks

    A histogram has four 10-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?

  3. 3
    Surds3 marks

    Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).

  4. 4
    Inverse and Composite Functions3 marks

    f(x) = 3x + 4 and g(x) = 2x + 6. Work out fg(-1).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 36, y = 12. Work out y when x = 49.

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