Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st April 2013
- 1Conditional Probability3 marks
A bag holds 3 red and 6 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 20-wide classes from 0, with frequency densities 0.5, 1, 3, 2. Which class contains the median?
- 3Bounds3 marks
x = 43 and y = 30, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 4x - 9.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 36. Work out y when x = 49.
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