Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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5th April 2016

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

  1. 1
    Conditional Probability3 marks

    A bag holds 4 red and 9 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, 2, 1, 3. Which class contains the median?

  3. 3
    Surds3 marks

    Expand and simplify (8 + sqrt(2))(8 - sqrt(2)).

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

    The point (5, 0) lies on y = f(x). Write down its image on y = f(x + 3).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 16, y = 20. Work out y when x = 81.

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