Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd December 2004
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 7 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 5 red and n blue counters. The probability of taking a red is 5/9. Work out n.
- 3Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Surds3 marks
Rationalise the denominator of 21/sqrt(3), giving your answer in its simplest form.
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 0, 7, 16, 27. Work out the second difference, and the coefficient of n^2.
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