Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd October 2009
- 1Surds3 marks
Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 13, 25, 41, 61. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 12. Work out y when x = 2.
- 4The Cosine Rule3 marks
A triangle has sides 5 cm, 9 cm and 9 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/3. Work out n.
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