Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th February 2015
- 1Conditional Probability3 marks
A bag holds 10 red and 4 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 10-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?
- 3Surds3 marks
Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
- 4Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 5) with x(0) = 2. Work out x(1) to 3 decimal places.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 25. Work out y when x = 5.
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