Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd January 2012
- 1Conditional Probability3 marks
A bag holds 6 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 0.4. How many values are in that class?
- 3Surds3 marks
Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).
- 4Inverse and Composite Functions3 marks
f(x) = 4x - 11. Work out the inverse function f^-1(x).
- 5Velocity Time Graphs2 marks
A train slows steadily from 35 m/s to rest in 8 seconds. Work out its deceleration.
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