Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th August 2016
- 1Conditional Probability3 marks
A bag holds 7 red, 5 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 10 < x <= 30 has a frequency density of 0.4. How many values are in that class?
- 3Surds3 marks
Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).
- 4The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -1, 10, 29, 56. Work out the second difference, and the coefficient of n^2.
- 5Velocity Time Graphs2 marks
A train slows steadily from 29 m/s to rest in 5 seconds. Work out its deceleration.
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