Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th February 2007
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 4 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 3 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 3Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Surds3 marks
Expand and simplify (8 + sqrt(7))(8 - sqrt(7)).
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -2, 4, 14, 28. Work out the second difference, and the coefficient of n^2.
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