Daily Practice

Higher Plus

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16th November 1974

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 = 5, y = 36. Work out y when x = 3.

  2. 2
    The Cosine Rule3 marks

    A triangle has sides 16 cm, 12 cm and 14 cm. Work out the angle opposite the 16 cm side, to 1 decimal place.

  3. 3
    Probability Equation Questions3 marks

    A bag holds 6 red and n blue counters. The probability of taking a red is 3/4. 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
    Bounds3 marks

    A car covers 290 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

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