Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th March 2015
- 1Conditional Probability3 marks
A bag holds 6 red, 5 blue and 2 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 3, 0.5, 2, 1. Which class contains the median?
- 3Bounds3 marks
A rectangle is 20 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 4The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 11, 21, 35. Work out the second difference, and the coefficient of n^2.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 10. Work out y when x = 81.
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