Higher Plus
26th October 1967
- 1Conditional Probability3 marks
A bag holds 6 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
On a histogram the bar for 60 < x <= 80 has a frequency density of 1.5. How many values are in that class?
- 3Surds3 marks
Simplify sqrt(27) + sqrt(48), giving your answer in the form a sqrt(b).
- 4Proof2 marks
In an algebraic proof, how would you write three consecutive even numbers in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.
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Any date always gives the same five questions, so a sheet can be set again or shared. All of October 1967, including the monthly compilation PDF.