Daily Practice

Higher Plus

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9th January 1964

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

  1. 1
    Conditional Probability3 marks

    A bag holds 7 red and 3 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 20-wide classes from 0, with frequency densities 2, 1, 0.5, 3. Which class contains the median?

  3. 3
    Surds3 marks

    Simplify sqrt(72) + sqrt(32), giving your answer in the form a sqrt(b).

  4. 4
    The Nth Term of a Quadratic Sequence3 marks

    Work out the nth term of the quadratic sequence -6, -5, 0, 9, ...

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 4, y = 8. Work out y when x = 25.

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