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Higher Plus

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1st May 1970

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 3 red and n blue counters. The probability of taking a red is 3/10. Work out n.

  2. 2
    Histograms3 marks

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

  3. 3
    Surds3 marks

    Rationalise the denominator of 21/sqrt(3), giving your answer in its simplest form.

  4. 4
    Proof2 marks

    In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 49.

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