Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th April 2000
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 3 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/13. Work out n.
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Surds3 marks
Rationalise the denominator of 70/sqrt(7), giving your answer in its simplest form.
- 5Inverse and Composite Functions3 marks
f(x) = 7x - 3. Work out the inverse function f^-1(x).
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