Daily Practice

Higher Plus

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13th December 1989

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

  1. 1
    Bounds3 marks

    A rectangle is 5 cm by 7 cm, each correct to the nearest cm. Work out the upper bound of its area.

  2. 2
    Inverse and Composite Functions3 marks

    f(x) = 3x - 8 and g(x) = 3x + 4. Work out fg(1).

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 20 m/s to rest in 10 seconds. Work out its deceleration.

  4. 4
    The Sine Rule3 marks

    In triangle ABC, angle A is 36°, side a is 14 cm and side b is 11 cm. Work out the acute angle B, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    A bag holds 7 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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