Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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17th April 2016

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.

  2. 2
    Histograms3 marks

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

  3. 3
    Bounds3 marks

    x = 174 and y = 153, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    Inverse and Composite Functions3 marks

    f(x) = 5x - 8 and g(x) = 3x - 7. Work out fg(4).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 3, y = 36. Work out y when x = 6.

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