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Higher Plus

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7th November 1952

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

  1. 1
    Conditional Probability3 marks

    A bag holds 3 red and 10 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 1, 3, 2, 0.5. Which class contains the median?

  3. 3
    Surds3 marks

    Rationalise the denominator of 8/sqrt(2), giving your answer in its simplest form.

  4. 4
    The Nth Term of a Quadratic Sequence3 marks

    Work out the nth term of the quadratic sequence 11, 17, 25, 35, ...

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 16, y = 20. Work out y when x = 9.

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