Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th August 2008
- 1Surds3 marks
Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.
- 2Inverse and Composite Functions3 marks
f(x) = 3x - 7 and g(x) = 6x + 3. Work out fg(4).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 10. Work out y when x = 64.
- 4The Cosine Rule3 marks
A triangle has sides 13 cm, 6 cm and 16 cm. Work out the angle opposite the 13 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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