Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th April 2010
- 1Conditional Probability3 marks
A bag holds 10 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 2Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 2.4. How many values are in that class?
- 3Bounds3 marks
A rectangle is 8 cm by 8 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 4Proof2 marks
In an algebraic proof, how would you write an even number in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.
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