Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st August 2015
- 1Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 3, 0.5. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 77/sqrt(11), giving your answer in its simplest form.
- 4Inverse and Composite Functions3 marks
f(x) = 7x - 4. Work out the inverse function f^-1(x).
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 3.
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