Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th October 2003
- 1Surds3 marks
Expand and simplify (8 + sqrt(10))(8 - sqrt(10)).
- 2Rearranging Harder Formulae3 marks
Make x the subject of 2x + 4 = y(x + 4).
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 108. Work out y when x = 6.
- 4The Cosine Rule3 marks
A triangle has sides of 16 cm and 9 cm with an angle of 55° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 6 red, 3 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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