Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th February 2005
- 1Conditional Probability3 marks
A bag holds 3 red, 6 blue and 3 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 <= 30 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)).
- 4Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
- 5Velocity Time Graphs2 marks
A train slows steadily from 28 m/s to rest in 4 seconds. Work out its deceleration.
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