Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th June 1997
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 14 cm by 7 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 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 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Surds3 marks
Simplify sqrt(80) + sqrt(245), giving your answer in the form a sqrt(b).
- 5Proof2 marks
In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
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