Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th December 2003
- 1Conditional Probability3 marks
A bag holds 7 red, 6 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 30 < x <= 40 has a frequency density of 0.4. How many values are in that class?
- 3Surds3 marks
Expand and simplify (5 + sqrt(7))(5 - sqrt(7)).
- 4The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 1, 7, 15, 25, ...
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.
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