Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th February 2004
- 1Conditional Probability3 marks
A bag holds 5 red and 7 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 1, 2, 0.5, 3. Which class contains the median?
- 3Bounds3 marks
x = 46 and y = 30, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Algebraic Fractions3 marks
Simplify (x^2 - 2x - 15)/(x + 3).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 8. Work out y when x = 81.
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