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Higher Plus

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17th February 1961

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 1/4. Work out n.

  2. 2
    Histograms3 marks

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

  3. 3
    Surds3 marks

    Rationalise the denominator of 33/sqrt(3), giving your answer in its simplest form.

  4. 4
    Rearranging Harder Formulae3 marks

    Make x the subject of 4x + 6 = y(x + 6).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 36, y = 24. Work out y when x = 49.

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