Further Mathematics Past QuestionsQuestion 1:Two functions f and g are defined on the set of real numbers by \(f : x \to x^{2} + 1\) and \(g : x \to x - 2\). Find f o g. A. \(x^{2} + 4x - 5\) B. \(x^{2} - 4x + 5\) C. \(x^{2} - 1\) D. \(x - 1\) Question 2:A car is moving at 120\(kmh^{-1}\). Find its speed in \(ms^{-1}\). A. 33.3\(ms^{-1}\) B. 66.6\(ms^{-1}\) C. 99.9\(ms^{-1}\) D. 120.0\(ms^{-1}\) Question 3:A particle starts from rest and moves through a distance \(S = 12t^{2} - 2t^{3}\) metres in time t seconds. Find its acceleration in 1 second. A. 24\(ms^{-2}\) B. 18\(ms^{-2}\) C. 12\(ms^{-2}\) D. 10\(ms^{-2}\) Question 4:Find the constant term in the binomial expansion \((2x^{2} + \frac{1}{x})^{9}\) A. 84 B. 168 C. 336 D. 672 Question 5:Find the angle between forces of magnitude 7N and 4N if their resultant has a magnitude of 9N. A. 39.45° B. 73.40° C. 75.34° D. 106.60° |
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