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Daily Practice - Higher Plus

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29th October 1993

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

  1. 1
    Surds3 marks

    Rationalise the denominator of 40/sqrt(5), giving your answer in its simplest form.

  2. 2
    Transforming Graphs y=f(x)3 marks

    The point (-4, -1) lies on y = f(x). Write down its image on y = -f(x).

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 31 m/s to rest in 5 seconds. Work out its deceleration.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides of 10 cm and 13 cm with an angle of 57° between them. Work out the third side, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    A bag holds 4 red, 7 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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