Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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7th December 2008

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 2 red and n blue counters. The probability of taking a red is 2/9. Work out n.

  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 = 89 and y = 37, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    Inverse and Composite Functions3 marks

    f(x) = 6x - 3. Work out the inverse function f^-1(x).

  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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