Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th September 2014
- 1Conditional Probability3 marks
A bag holds 7 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 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
Rationalise the denominator of 30/sqrt(3), giving your answer in its simplest form.
- 4Algebraic Fractions3 marks
Simplify (x^2 - 3x - 28)/(x - 7).
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 27. Work out y when x = 3.
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