Daily Practice

Higher Plus

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2nd June 1983

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

  1. 1
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 2, y = 32. Work out y when x = 4.

  2. 2
    The Cosine Rule3 marks

    A triangle has sides 14 cm, 12 cm and 9 cm. Work out the angle opposite the 14 cm side, to 1 decimal place.

  3. 3
    Probability Equation Questions3 marks

    A bag holds 5 red and n blue counters. The probability of taking a red is 5/13. Work out n.

  4. 4
    Histograms3 marks

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

  5. 5
    Surds3 marks

    Simplify sqrt(27) + sqrt(27), giving your answer in the form a sqrt(b).

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