Higher Plus
18th March 1991
- 1Conditional Probability3 marks
A bag holds 6 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 2Histograms3 marks
On a histogram the bar for 50 < x <= 70 has a frequency density of 2.4. How many values are in that class?
- 3Bounds3 marks
A block has mass 210 g (to the nearest 10 g) and volume 3 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4Quadratic Inequalities3 marks
Solve x^2 + 11x + 28 < 0.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.
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