Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

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14th September 2008

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

  1. 1
    Conditional Probability3 marks

    A bag holds 6 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 1, 2, 0.5, 3. Which class contains the median?

  3. 3
    Bounds3 marks

    x = 88 and y = 25, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    The Nth Term of a Quadratic Sequence3 marks

    Work out the nth term of the quadratic sequence 2, 8, 18, 32, ...

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 9, y = 18. Work out y when x = 16.

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