Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th March 2010
- 1Surds3 marks
Simplify sqrt(32) + sqrt(8), giving your answer in the form a sqrt(b).
- 2Proof2 marks
In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 27. Work out y when x = 36.
- 4The Cosine Rule3 marks
A triangle has sides of 12 cm and 8 cm with an angle of 30° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 5 red, 3 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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