Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th November 2011
- 1Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(32) + sqrt(50), giving your answer in the form a sqrt(b).
- 4The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 17, 35, 61, 95. 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 = 15. Work out y when x = 49.
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