Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th September 2014
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 7 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 9 red and 3 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 1.5. How many more values are in the wider class?
- 4Surds3 marks
Simplify sqrt(8) + sqrt(8), giving your answer in the form a sqrt(b).
- 5Quadratic Inequalities3 marks
Solve x^2 - 2x - 15 > 0.
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