Daily Practice

Higher Plus

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30th September 1973

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/12. Work out r.

  2. 2
    Histograms3 marks

    A histogram has four 20-wide classes from 0, with frequency densities 3, 2, 1, 0.5. Which class contains the median?

  3. 3
    Bounds3 marks

    x = 181 and y = 35, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    Inverse and Composite Functions3 marks

    f(x) = 7x - 4. Work out the inverse function f^-1(x).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 4, y = 10. Work out y when x = 9.

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