Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th November 2005
- 1Conditional 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?
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 3, 1, 0.5. Which class contains the median?
- 3Surds3 marks
Expand and simplify (4 + sqrt(2))(4 - sqrt(2)).
- 4The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 2, 14, 34, 62, ...
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 25. Work out y when x = 5.
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