Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th November 2002
- 1Conditional Probability3 marks
A bag holds 9 red and 3 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 20 < x <= 30 has a frequency density of 2.4. How many values are in that class?
- 3Surds3 marks
Rationalise the denominator of 30/sqrt(3), giving your answer in its simplest form.
- 4Proof3 marks
Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
- 5Velocity Time Graphs2 marks
A train slows steadily from 35 m/s to rest in 4 seconds. Work out its deceleration.
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