Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st August 2001
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 3 cm by 5 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 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 4Surds3 marks
Expand and simplify (8 + sqrt(2))(8 - sqrt(2)).
- 5Algebraic Fractions3 marks
Simplify (x^2 + 15x + 56)/(x + 7).
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