Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th April 2016
- 1Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 0.5, 2, 3. Which class contains the median?
- 3Bounds3 marks
x = 174 and y = 153, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Inverse and Composite Functions3 marks
f(x) = 5x - 8 and g(x) = 3x - 7. Work out fg(4).
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 36. Work out y when x = 6.
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