Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th November 2001
- 1Conditional Probability3 marks
A bag holds 4 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 2Histograms3 marks
On a histogram the bar for 30 < x <= 40 has a frequency density of 1.5. How many values are in that class?
- 3Surds3 marks
Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
- 4Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 7 in terms of an integer n?
- 5Velocity Time Graphs2 marks
A train slows steadily from 38 m/s to rest in 10 seconds. Work out its deceleration.
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