Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd June 2008
- 1Conditional Probability3 marks
A bag holds 6 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
A histogram has four 10-wide classes from 0, with frequency densities 2, 3, 1, 0.5. Which class contains the median?
- 3Bounds3 marks
x = 188 and y = 154, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Inverse and Composite Functions3 marks
f(x) = 4x + 8 and g(x) = 3x - 9. Work out fg(0).
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 72. Work out y when x = 6.
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