Daily Practice
Higher Plus
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9th December 1986
- 1Conditional Probability3 marks
A bag holds 3 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
On a histogram the bar for 0 < x <= 20 has a frequency density of 3.5. How many values are in that class?
- 3Surds3 marks
Expand and simplify (4 + sqrt(7))(4 - sqrt(7)).
- 4Transforming Graphs y=f(x)3 marks
The point (-1, -6) lies on y = f(x). Write down its image on y = f(x + 2).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. 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 December 1986, including the monthly compilation PDF.