Higher Plus
31st December 1976
- 1Conditional Probability3 marks
A bag holds 5 red and 6 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 10-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 56/sqrt(7), giving your answer in its simplest form.
- 4Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 4x + 4.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 12. Work out y when x = 2.
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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1976, including the monthly compilation PDF.