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Higher Plus

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25th March 1985

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

  1. 1
    Conditional Probability3 marks

    A bag holds 5 red, 4 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 20 < x <= 30 has a frequency density of 0.4. How many values are in that class?

  3. 3
    Bounds3 marks

    A block has mass 790 g (to the nearest 10 g) and volume 6 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

  4. 4
    Iteration3 marks

    Use the iteration x(n+1) = cube root of (5x(n) + 8) with x(0) = 5. Work out x(1) to 3 decimal places.

  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 = 3.

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