Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th June 2014
- 1Conditional Probability3 marks
A bag holds 4 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 3, 2, 1, 0.5. Which class contains the median?
- 3Bounds3 marks
x = 162 and y = 49, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 75. Work out y when x = 5.
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