Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Conditional Probability3 marks
A bag holds 5 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 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
Expand and simplify (6 + sqrt(3))(6 - sqrt(3)).
- 4Quadratic Inequalities3 marks
Solve x^2 + 8x + 12 > 0.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 45. Work out y when x = 81.
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