Daily Practice

Higher Plus

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27th April 1986

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

  1. 1
    Bounds3 marks

    x = 192 and y = 70, each correct to the nearest whole number. Work out the upper bound of x - y.

  2. 2
    Inverse and Composite Functions3 marks

    f(x) = 5x - 2 and g(x) = 2x - 9. Work out fg(-2).

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 36, y = 42. Work out y when x = 16.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 14 cm, 15 cm and 16 cm. Work out the angle opposite the 14 cm side, to 1 decimal place.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 3 red and n blue counters. The probability of taking a red is 3/11. Work out n.

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