Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
31st August 2008
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 5.
- 2The Cosine Rule3 marks
A triangle has sides of 16 cm and 11 cm with an angle of 54° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 6 red, 7 blue and 2 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 40 < x <= 60 has a frequency density of 3.5. How many values are in that class?
- 5Bounds3 marks
x = 170 and y = 88, each correct to the nearest whole number. Work out the upper bound of x - y.
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