Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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9th July 2006

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/9. Work out r.

  2. 2
    Histograms3 marks

    On a histogram the bar for 30 < x <= 35 has a frequency density of 0.4. How many values are in that class?

  3. 3
    Bounds3 marks

    x = 122 and y = 103, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    Inverse and Composite Functions3 marks

    f(x) = 2x + 1 and g(x) = 6x + 5. Work out fg(4).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.

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