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Higher Plus

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21st November 1954

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Probability Equation Questions3 marks

    A bag holds 6 red and n blue counters. The probability of taking a red is 2/3. Work out n.

  2. 2
    Histograms3 marks

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

  3. 3
    Bounds3 marks

    x = 100 and y = 65, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    The Nth Term of a Quadratic Sequence2 marks

    A quadratic sequence starts 5, 18, 37, 62. Work out the second difference, and the coefficient of n^2.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 4.

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