Daily Practice

Higher Plus

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23rd February 1979

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 = 3, y = 108. Work out y when x = 6.

  2. 2
    The Cosine Rule3 marks

    A triangle has sides 4 cm, 14 cm and 14 cm. Work out the angle opposite the 4 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 2, 1, 3, 0.5. Which class contains the median?

  5. 5
    Surds3 marks

    Rationalise the denominator of 48/sqrt(6), giving your answer in its simplest form.

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