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Higher Plus

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5th September 1972

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 7/12. Work out r.

  2. 2
    Histograms3 marks

    On a histogram the bar for 60 < x <= 65 has a frequency density of 0.4. How many values are in that class?

  3. 3
    Surds3 marks

    Expand and simplify (7 + sqrt(3))(7 - sqrt(3)).

  4. 4
    The Nth Term of a Quadratic Sequence3 marks

    Work out the nth term of the quadratic sequence 4, 16, 34, 58, ...

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.

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