Daily Practice - Higher Plus
18th November 1993
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 5.
- 2The Cosine Rule3 marks
A triangle has sides of 12 cm and 10 cm with an angle of 82° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 6 red, 7 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 1.2. How many values are in that class?
- 5Surds3 marks
Simplify sqrt(20) + sqrt(20), giving your answer in the form a sqrt(b).
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