Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th July 2002
- 1Conditional Probability3 marks
A bag holds 3 red and 11 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 60 < x <= 65 has a frequency density of 0.4. How many values are in that class?
- 3Surds3 marks
Simplify sqrt(12) + sqrt(75), giving your answer in the form a sqrt(b).
- 4Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 2) with x(0) = 1. Work out x(1) to 3 decimal places.
- 5Velocity Time Graphs2 marks
A train slows steadily from 37 m/s to rest in 4 seconds. Work out its deceleration.
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