Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd October 2012
- 1Conditional Probability3 marks
A bag holds 4 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 2, 3, 1, 0.5. Which class contains the median?
- 3Surds3 marks
Expand and simplify (4 + sqrt(2))(4 - sqrt(2)).
- 4Algebraic Fractions3 marks
Write 2/(x + 1) + 3/(x - 5) as a single fraction.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 75. Work out y when x = 5.
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