Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th August 2008
- 1Conditional Probability3 marks
A bag holds 3 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 2Histograms3 marks
On a histogram the bar for 60 < x <= 65 has a frequency density of 1.2. How many values are in that class?
- 3Surds3 marks
Rationalise the denominator of 30/sqrt(3), giving your answer in its simplest form.
- 4Algebraic Fractions3 marks
Write 3/(x + 2) + 4/(x - 6) as a single fraction.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.
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