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Higher Plus

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16th December 1980

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

  1. 1
    Conditional Probability3 marks

    A bag holds 7 red, 6 blue and 4 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 60 < x <= 65 has a frequency density of 2.4. How many values are in that class?

  3. 3
    Surds3 marks

    Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).

  4. 4
    Rearranging Harder Formulae3 marks

    Make x the subject of 3x + 2 = y(x + 2).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 3.

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