Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th March 2012
- 1Conditional Probability3 marks
A bag holds 5 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
On a histogram the bar for 30 < x <= 40 has a frequency density of 3.5. How many values are in that class?
- 3Surds3 marks
Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).
- 4Rearranging Harder Formulae3 marks
Make x the subject of 4x + 2 = y(x + 2).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.
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