Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th February 2004
- 1Conditional Probability3 marks
A bag holds 6 red, 5 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 20 < x <= 40 has a frequency density of 1.5. How many values are in that class?
- 3Bounds3 marks
A car covers 370 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 4Proof2 marks
In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
- 5Velocity Time Graphs2 marks
A train slows steadily from 36 m/s to rest in 5 seconds. Work out its deceleration.
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