Daily Practice · Higher Plus
Daily Practice - Higher Plus
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11th February 1993
- 1Conditional Probability3 marks
A bag holds 6 red, 6 blue and 2 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 0 < x <= 10 has a frequency density of 1.5. How many values are in that class?
- 3Surds3 marks
Simplify sqrt(48) + sqrt(108), giving your answer in the form a sqrt(b).
- 4Inverse and Composite Functions3 marks
f(x) = 5x - 4 and g(x) = 3x - 4. Work out fg(2).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. 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 February 1993, including the monthly compilation PDF.