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Higher Plus

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16th June 1984

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 6 red and n blue counters. The probability of taking a red is 2/3. Work out n.

  2. 2
    Histograms3 marks

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

  3. 3
    Bounds3 marks

    A car covers 780 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  4. 4
    Inverse and Composite Functions3 marks

    f(x) = 6x - 6 and g(x) = 5x - 3. Work out fg(-3).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 25.

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