Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th March 1999
- 1Conditional Probability3 marks
A bag holds 4 red, 7 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 40 < x <= 50 has a frequency density of 2.4. How many values are in that class?
- 3Surds3 marks
Rationalise the denominator of 15/sqrt(3), giving your answer in its simplest form.
- 4Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 7) with x(0) = 1. Work out x(1) to 3 decimal places.
- 5Velocity Time Graphs2 marks
A train slows steadily from 13 m/s to rest in 4 seconds. Work out its deceleration.
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