Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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6th June 2018

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. 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

    A rectangle is 25 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.

  4. 4
    Inverse and Composite Functions3 marks

    f(x) = 3x + 1. Work out the inverse function f^-1(x).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 16, y = 16. Work out y when x = 49.

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