Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th October 2010
- 1Conditional Probability3 marks
A bag holds 5 red, 4 blue and 3 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 1, 3, 2, 0.5. Which class contains the median?
- 3Bounds3 marks
x = 133 and y = 54, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Completing the Square3 marks
Write x^2 + 14x + 12 in the form (x + a)^2 + b.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 27. Work out y when x = 3.
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