Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th October 2008
- 1Surds3 marks
Rationalise the denominator of 15/sqrt(3), giving your answer in its simplest form.
- 2Proof2 marks
In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 5.
- 4The Cosine Rule3 marks
A triangle has sides of 9 cm and 9 cm with an angle of 38° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 3 red, 6 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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