Daily Practice

Higher Plus

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5th November 1989

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/18. Work out r.

  2. 2
    Histograms3 marks

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

  3. 3
    Bounds3 marks

    x = 69 and y = 41, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 - 4x + 6.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 16, y = 24. Work out y when x = 4.

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