Daily Practice · Higher Plus

Daily Practice - Higher Plus

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16th July 1991

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

  1. 1
    Conditional Probability3 marks

    A bag holds 4 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 <= 30 has a frequency density of 0.4. How many values are in that class?

  3. 3
    Surds3 marks

    Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).

  4. 4
    Algebraic Fractions3 marks

    Simplify (x^2 + 2x - 15)/(x + 5).

  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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