Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd August 2007
- 1Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 21/55. Work out r.
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 14/sqrt(2), giving your answer in its simplest form.
- 4The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 17, 34, 59, 92, ...
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 15. Work out y when x = 4.
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