Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th June 1999
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 5.
- 2The Cosine Rule3 marks
A triangle has sides of 14 cm and 9 cm with an angle of 99° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 4 red, 3 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 50 < x <= 70 has a frequency density of 1.5. How many values are in that class?
- 5Bounds3 marks
x = 82 and y = 31, each correct to the nearest whole number. Work out the upper bound of x - y.
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