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Higher Plus

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30th May 1961

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

  1. 1
    Conditional Probability3 marks

    A bag holds 4 red, 3 blue and 5 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 10 < x <= 30 has a frequency density of 3.5. How many values are in that class?

  3. 3
    Surds3 marks

    Expand and simplify (5 + sqrt(7))(5 - sqrt(7)).

  4. 4
    Rearranging Harder Formulae3 marks

    Make x the subject of 3x + 6 = y(x + 6).

  5. 5
    Velocity Time Graphs2 marks

    A train slows steadily from 38 m/s to rest in 8 seconds. Work out its deceleration.

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