Daily Practice

Higher Plus

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9th December 1986

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

  1. 1
    Conditional Probability3 marks

    A bag holds 3 red and 5 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 0 < x <= 20 has a frequency density of 3.5. How many values are in that class?

  3. 3
    Surds3 marks

    Expand and simplify (4 + sqrt(7))(4 - sqrt(7)).

  4. 4
    Transforming Graphs y=f(x)3 marks

    The point (-1, -6) lies on y = f(x). Write down its image on y = f(x + 2).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 3.

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