Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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10th July 2016

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

  1. 1
    Conditional Probability3 marks

    A bag holds 4 red, 5 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

  2. 2
    Histograms3 marks

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

  3. 3
    Bounds3 marks

    x = 157 and y = 72, 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 5, 16, 31, 50, ...

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 9, y = 24. Work out y when x = 4.

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