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Further Mathematics Past Questions and Answers

Further Mathematics Past Questions


Question 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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