Daily Practice
Higher Plus
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16th December 1980
- 1Conditional Probability3 marks
A bag holds 7 red, 6 blue and 4 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 <= 65 has a frequency density of 2.4. How many values are in that class?
- 3Surds3 marks
Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).
- 4Rearranging Harder Formulae3 marks
Make x the subject of 3x + 2 = y(x + 2).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. 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 1980, including the monthly compilation PDF.