Higher Plus
14th February 1957
- 1Conditional Probability3 marks
A bag holds 7 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 2, 1, 0.5. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(8) + sqrt(8), giving your answer in the form a sqrt(b).
- 4The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 10, 25, 46, 73. Work out the second difference, and the coefficient of n^2.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 35. Work out y when x = 64.
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