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Higher Plus

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3rd June 1966

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

  1. 1
    Conditional Probability3 marks

    A bag holds 7 red, 5 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

  2. 2
    Histograms3 marks

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

  3. 3
    Surds3 marks

    Rationalise the denominator of 24/sqrt(2), giving your answer in its simplest form.

  4. 4
    Proof2 marks

    In an algebraic proof, how would you write a multiple of 7 in terms of an integer n?

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 4, y = 144. Work out y when x = 6.

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