Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd March 2007
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 6 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 2/3. Work out n.
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Surds3 marks
Rationalise the denominator of 22/sqrt(2), giving your answer in its simplest form.
- 5Algebraic Fractions3 marks
Simplify (x^2 - 2x - 48)/(x + 6).
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