Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th July 2010
- 1Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/11. Work out r.
- 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 = 83 and y = 60, 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 the product of two consecutive integers in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 24. Work out y when x = 81.
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