Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th October 2001
- 1Surds3 marks
Rationalise the denominator of 36/sqrt(3), giving your answer in its simplest form.
- 2Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 10x + 8.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 30. Work out y when x = 25.
- 4The Cosine Rule3 marks
A triangle has sides 12 cm, 6 cm and 14 cm. Work out the angle opposite the 12 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 4/11. Work out n.
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