Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th November 2007
- 1Surds3 marks
Simplify sqrt(48) + sqrt(108), giving your answer in the form a sqrt(b).
- 2Quadratic Inequalities3 marks
Solve x^2 - x - 12 > 0.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 42. Work out y when x = 9.
- 4The Cosine Rule3 marks
A triangle has sides of 12 cm and 6 cm with an angle of 69° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 6 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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