Daily Practice

Higher Plus

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4th June 1967

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/3. Work out r.

  2. 2
    Histograms3 marks

    On a histogram the bar for 60 < x <= 80 has a frequency density of 0.4. How many values are in that class?

  3. 3
    Bounds3 marks

    x = 113 and y = 42, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    Inverse and Composite Functions3 marks

    f(x) = 2x - 5 and g(x) = 2x - 9. Work out fg(5).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 2.

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