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Higher Plus

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12th October 1973

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 2 red and n blue counters. The probability of taking a red is 2/9. Work out n.

  2. 2
    Histograms3 marks

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

  3. 3
    Surds3 marks

    Rationalise the denominator of 20/sqrt(5), giving your answer in its simplest form.

  4. 4
    Iteration3 marks

    Use the iteration x(n+1) = cube root of (3x(n) + 9) with x(0) = 1. Work out x(1) to 3 decimal places.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 3, y = 50. Work out y when x = 5.

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