Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd June 2001
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 4 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/5. Work out n.
- 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
Rationalise the denominator of 27/sqrt(3), giving your answer in its simplest form.
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (8x(n) + 5) with x(0) = 4. Work out x(1) to 3 decimal places.
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