Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th September 2000
- 1Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 21/sqrt(3), giving your answer in its simplest form.
- 4The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 11, 23, 41. 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 = 10. Work out y when x = 4.
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