Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th October 2012
- 1Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/55. Work out r.
- 2Histograms3 marks
On a histogram the bar for 30 < x <= 50 has a frequency density of 0.4. How many values are in that class?
- 3Surds3 marks
Rationalise the denominator of 20/sqrt(2), giving your answer in its simplest form.
- 4Algebraic Fractions3 marks
Simplify (x^2 + 4x - 5)/(x - 1).
- 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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