Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th October 1999
- 1Conditional Probability3 marks
A bag holds 4 red, 5 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 77/sqrt(11), giving your answer in its simplest form.
- 4The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 0, 3, 10, 21, ...
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 36.
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