Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th October 2011
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 5 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 5 red and 7 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 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Surds3 marks
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).
- 5Factorising Harder Quadratics3 marks
Solve 2x^2 - 7x - 4 = 0.
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