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Higher Plus

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8th April 1971

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

  1. 1
    Conditional Probability3 marks

    A bag holds 3 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

  2. 2
    Histograms3 marks

    On a histogram the bar for 30 < x <= 35 has a frequency density of 0.4. How many values are in that class?

  3. 3
    Surds3 marks

    Simplify sqrt(75) + sqrt(27), giving your answer in the form a sqrt(b).

  4. 4
    Iteration3 marks

    Use the iteration x(n+1) = cube root of (10x(n) + 1) with x(0) = 2. Work out x(1) to 3 decimal places.

  5. 5
    Velocity Time Graphs2 marks

    A train slows steadily from 18 m/s to rest in 8 seconds. Work out its deceleration.

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