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Higher Plus

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6th October 1981

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

  1. 1
    Conditional Probability3 marks

    A bag holds 4 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

  2. 2
    Histograms3 marks

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

  3. 3
    Surds3 marks

    Expand and simplify (8 + sqrt(11))(8 - sqrt(11)).

  4. 4
    Algebraic Fractions3 marks

    Simplify (x^2 - 25)/(x - 5).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 49, y = 21. Work out y when x = 16.

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