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Higher Plus

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13th August 1981

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

  1. 1
    Conditional Probability3 marks

    A bag holds 3 red, 7 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

  2. 2
    Histograms3 marks

    On a histogram the bar for 20 < x <= 25 has a frequency density of 3.5. How many values are in that class?

  3. 3
    Surds3 marks

    Simplify sqrt(27) + sqrt(12), giving your answer in the form a sqrt(b).

  4. 4
    The Nth Term of a Quadratic Sequence3 marks

    Work out the nth term of the quadratic sequence 6, 16, 30, 48, ...

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.

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