Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th September 2017
- 1Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/12. Work out r.
- 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?
- 3Bounds3 marks
A car covers 540 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 4Inverse and Composite Functions3 marks
f(x) = 3x + 7 and g(x) = 3x - 7. Work out fg(5).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 5.
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