Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th January 2014
- 1Conditional Probability3 marks
A bag holds 4 red and 4 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
Simplify sqrt(20) + sqrt(45), giving your answer in the form a sqrt(b).
- 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 38 m/s to rest in 4 seconds. Work out its deceleration.
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