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Higher Plus

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20th March 1986

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Conditional Probability3 marks

    A bag holds 6 red, 3 blue and 6 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 <= 20 has a frequency density of 1.5. How many values are in that class?

  3. 3
    Surds3 marks

    Simplify sqrt(50) + sqrt(98), giving your answer in the form a sqrt(b).

  4. 4
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 + 12x - 8.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 5.

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