Daily Practice

Higher Plus

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30th August 1988

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Conditional Probability3 marks

    A bag holds 7 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

    A histogram has four 10-wide classes from 0, with frequency densities 0.5, 1, 3, 2. Which class contains the median?

  3. 3
    Surds3 marks

    Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).

  4. 4
    Trigonometric and Exponential Graphs2 marks

    The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 25, y = 40. Work out y when x = 64.

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