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Further Mathematics Past Questions and Answers

Further Mathematics Past Questions


Question 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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