Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th September 2010
- 1Conditional Probability3 marks
A bag holds 5 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 3, 0.5, 2. Which class contains the median?
- 3Bounds3 marks
A car covers 140 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.
- 4Transforming Graphs y=f(x)3 marks
The point (-2, 6) lies on y = f(x). Write down its image on y = -f(x).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 15. Work out y when x = 49.
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