Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st January 2014
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 7 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 6 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 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Surds3 marks
Expand and simplify (5 + sqrt(6))(5 - sqrt(6)).
- 5The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 7, 15, 27, 43, ...
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