Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th November 1998
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 13 cm by 12 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 7/12. Work out n.
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Surds3 marks
Simplify sqrt(20) + sqrt(80), giving your answer in the form a sqrt(b).
- 5Algebraic Fractions3 marks
Simplify (x^2 - 7x + 10)/(x - 2).
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