Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Conditional Probability3 marks
A bag holds 6 red, 3 blue and 5 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
Expand and simplify (2 + sqrt(3))(2 - sqrt(3)).
- 4Factorising Harder Quadratics3 marks
Solve 3x^2 - 16x + 16 = 0.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 36. Work out y when x = 3.
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