Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th December 2007
- 1Conditional Probability3 marks
A bag holds 7 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
- 3Surds3 marks
Expand and simplify (6 + sqrt(6))(6 - sqrt(6)).
- 4Completing the Square3 marks
Write x^2 + 14x + 3 in the form (x + a)^2 + b.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 16.
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