Daily Practice

Higher Plus

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19th April 1970

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 1/28. Work out r.

  2. 2
    Histograms3 marks

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

  3. 3
    Bounds3 marks

    x = 41 and y = 13, 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 + 8x - 4.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 4, y = 50. Work out y when x = 5.

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