Higher Plus
21st January 1957
- 1Conditional Probability3 marks
A bag holds 6 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?
- 3Bounds3 marks
A block has mass 650 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4Transforming Graphs y=f(x)3 marks
The point (-5, 0) lies on y = f(x). Write down its image on y = -f(x).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 21. Work out y when x = 81.
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