Daily Practice

Higher Plus

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9th November 1986

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

  1. 1
    Conditional Probability3 marks

    A bag holds 4 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

  2. 2
    Histograms3 marks

    A histogram has four 20-wide classes from 0, with frequency densities 2, 3, 0.5, 1. Which class contains the median?

  3. 3
    Bounds3 marks

    x = 174 and y = 130, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    Factorising Harder Quadratics3 marks

    Solve 12x^2 + 5x - 3 = 0.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 5, y = 72. Work out y when x = 6.

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