Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th September 2007
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.
- 2The Sine Rule3 marks
In triangle ABC, angle A is 55°, side a is 18 cm and side b is 14 cm. Work out the acute angle B, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 5 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 4Histograms3 marks
On a histogram the bar for 30 < x <= 50 has a frequency density of 1.2. How many values are in that class?
- 5Bounds3 marks
x = 108 and y = 66, each correct to the nearest whole number. Work out the upper bound of x - y.
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