Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Conditional Probability3 marks
A bag holds 5 red, 7 blue and 2 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 1, 0.5, 3, 2. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(72) + sqrt(8), giving your answer in the form a sqrt(b).
- 4Quadratic Inequalities3 marks
Solve x^2 + 13x + 40 > 0.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 32. Work out y when x = 4.
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