Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th January 2006
- 1Conditional Probability3 marks
A bag holds 6 red, 3 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, 2, 1, 0.5. Which class contains the median?
- 3Bounds3 marks
A rectangle is 8 cm by 7 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 4Quadratic Inequalities3 marks
Solve x^2 - 9x + 18 < 0.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 42. Work out y when x = 81.
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