Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd August 2002
- 1Conditional Probability3 marks
A bag holds 4 red, 6 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 0.4. How many values are in that class?
- 3Surds3 marks
Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
- 4The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 30, 61, 102. Work out the second difference, and the coefficient of n^2.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.
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