Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th September 2009
- 1Conditional Probability3 marks
A bag holds 3 red, 7 blue and 5 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 0 < x <= 20 has a frequency density of 0.4. How many values are in that class?
- 3Surds3 marks
Expand and simplify (4 + sqrt(5))(4 - sqrt(5)).
- 4Proof2 marks
In an algebraic proof, how would you write a multiple of 8 in terms of an integer n?
- 5Velocity Time Graphs2 marks
A train slows steadily from 35 m/s to rest in 4 seconds. Work out its deceleration.
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