Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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21st June 2022

5 questions · 14 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 55 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, 2, 1, 3. Which class contains the median?

  3. 3
    Surds3 marks

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

  4. 4
    The Nth Term of a Quadratic Sequence2 marks

    A quadratic sequence starts 6, 10, 18, 30. Work out the second difference, and the coefficient of n^2.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 5, y = 8. Work out y when x = 2.

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