Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th November 2006
- 1Conditional Probability3 marks
A bag holds 6 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
On a histogram the bar for 0 < x <= 10 has a frequency density of 0.4. How many values are in that class?
- 3Surds3 marks
Simplify sqrt(80) + sqrt(45), giving your answer in the form a sqrt(b).
- 4Proof2 marks
In an algebraic proof, how would you write the next even number after 2n 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 = 2.
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