Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th December 2010
- 1Surds3 marks
Rationalise the denominator of 27/sqrt(3), giving your answer in its simplest form.
- 2Completing the Square3 marks
Write x^2 - 8x - 6 in the form (x + a)^2 + b.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 18. Work out y when x = 16.
- 4The Cosine Rule3 marks
A triangle has sides 17 cm, 11 cm and 11 cm. Work out the angle opposite the 17 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 2/5. Work out n.
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