Daily Practice

Higher Plus

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28th March 1989

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Conditional Probability3 marks

    A bag holds 5 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

  2. 2
    Histograms3 marks

    On a histogram the bar for 20 < x <= 40 has a frequency density of 1.2. How many values are in that class?

  3. 3
    Surds3 marks

    Expand and simplify (9 + sqrt(2))(9 - sqrt(2)).

  4. 4
    The Nth Term of a Quadratic Sequence2 marks

    A quadratic sequence starts 13, 32, 61, 100. Work out the second difference, and the coefficient of n^2.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.

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