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Higher Plus

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12th July 1968

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

  1. 1
    Surds3 marks

    Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.

  2. 2
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 + 16x - 6.

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 25 m/s to rest in 10 seconds. Work out its deceleration.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides of 12 cm and 13 cm with an angle of 31° between them. Work out the third side, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    A bag holds 4 red, 6 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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