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Higher Plus

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31st March 1961

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

  1. 1
    Conditional Probability3 marks

    A bag holds 3 red, 5 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 60 < x <= 70 has a frequency density of 3.5. How many values are in that class?

  3. 3
    Surds3 marks

    Rationalise the denominator of 56/sqrt(7), giving your answer in its simplest form.

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

    The point (1, -5) lies on y = f(x). Write down its image on y = f(x) - 4.

  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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