Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th December 2012
- 1Surds3 marks
Expand and simplify (4 + sqrt(2))(4 - sqrt(2)).
- 2Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 18. Work out y when x = 3.
- 4The Cosine Rule3 marks
A triangle has sides of 14 cm and 11 cm with an angle of 145° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 4 red, 4 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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