Further Mathematics Past QuestionsQuestion 11:Find the stationary point of the curve \(y = 3x^{2} - 2x^{3}\). A. (1, 0) B. (-1, 0) C. (1, 1) D. (-1, -1) Question 12:Evaluate \(\int_{\frac{1}{2}}^{1} \frac{x^{3} - 4}{x^{3}} \mathrm {d} x\). A. -5.5 B. -2.0 C. 2.0 D. 5.5 Question 13:Calculate the standard deviation of 30, 29, 25, 28, 32 and 24. A. 2.0 B. 2.8 C. 3.0 D. 3.2 Question 14:Evaluate \(\int_{-1}^{1} (x + 1)^{2}\mathrm {d} x\). A. \(\frac{8}{3}\) B. \(\frac{7}{3}\) C. \(\frac{5}{3}\) D. 2 Question 15:Out of 70 schools, 42 of them can be attended by boys and 35 can be attended by girls. If a pupil is selected at random from these schools, find the probability that he/ she is from a mixed school. A. \(\frac{1}{11}\) B. \(\frac{1}{10}\) C. \(\frac{1}{6}\) D. \(\frac{1}{5}\) |
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