Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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7th April 2002

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 1/4. A player expects 13 wins. How many games did they play?

  2. 2
    Histograms3 marks

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

  3. 3
    Bounds3 marks

    x = 33 and y = 5, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    Iteration3 marks

    Use the iteration x(n+1) = cube root of (9x(n) + 9) with x(0) = 3. Work out x(1) to 3 decimal places.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 36, y = 54. Work out y when x = 9.

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