Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th June 2004
- 1Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. Work out r.
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?
- 3Bounds3 marks
A car covers 390 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 4Inverse and Composite Functions3 marks
f(x) = 5x - 10. 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 = 32. Work out y when x = 4.
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