Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th February 1999
- 1Conditional Probability3 marks
A bag holds 8 red and 6 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 60 < x <= 70 has a frequency density of 1.2. How many values are in that class?
- 3Surds3 marks
Simplify sqrt(20) + sqrt(80), giving your answer in the form a sqrt(b).
- 4Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 5.
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