Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th November 2000
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 4 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 7 red and 5 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 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Surds3 marks
Simplify sqrt(27) + sqrt(27), giving your answer in the form a sqrt(b).
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (7x(n) + 5) with x(0) = 3. Work out x(1) to 3 decimal places.
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