Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th September 2009
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 8 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/7. Work out n.
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Surds3 marks
Expand and simplify (2 + sqrt(5))(2 - sqrt(5)).
- 5Quadratic Inequalities3 marks
Solve x^2 + 7x + 12 > 0.
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