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14th February 1957

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

  1. 1
    Conditional Probability3 marks

    A bag holds 7 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 3, 2, 1, 0.5. Which class contains the median?

  3. 3
    Surds3 marks

    Simplify sqrt(8) + sqrt(8), giving your answer in the form a sqrt(b).

  4. 4
    The Nth Term of a Quadratic Sequence2 marks

    A quadratic sequence starts 10, 25, 46, 73. 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 = 25, y = 35. Work out y when x = 64.

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