Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th January 2011
- 1Surds3 marks
Expand and simplify (7 + sqrt(11))(7 - sqrt(11)).
- 2Proof2 marks
In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 13 cm and 14 cm and an area of 45.50 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 36/55. Work out r.
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