Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th December 2011
- 1Conditional Probability3 marks
A bag holds 5 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 1, 0.5, 2. Which class contains the median?
- 3Bounds3 marks
x = 96 and y = 75, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Algebraic Fractions3 marks
Simplify (x^2 - 10x + 16)/(x - 2).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 63. Work out y when x = 16.
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