Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th October 2002
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 16. Work out y when x = 81.
- 2Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 12 cm and an area of 33.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 3Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. Work out r.
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 2, 0.5, 1. Which class contains the median?
- 5Surds3 marks
Expand and simplify (4 + sqrt(5))(4 - sqrt(5)).
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