Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th September 2003
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 4 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 8 red and 4 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 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 4Surds3 marks
Expand and simplify (3 + sqrt(7))(3 - sqrt(7)).
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 8) with x(0) = 2. Work out x(1) to 3 decimal places.
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