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Further Mathematics Past Questions


Question 46:


A force (10i + 4j)N acts on a body of mass 2kg which is at rest. Find the velocity after 3 seconds.

A. \((\frac{5i}{3} + \frac{2j}{3})ms^{-1}\)
B. \((\frac{10i}{3} + \frac{4j}{3})ms^{-1}\)
C. \((5i + 2j)ms^{-1}\)
D. \((15i + 6j)ms^{-1}\)


Question 47:


Solve \(3^{2x} - 3^{x+2} = 3^{x+1} - 27\)

A. 1 or 0
B. 1 or 2
C. 1 or -2
D. -1 or 2


Question 48:


Differentiate \(\frac{5x^{3} + x^{2}}{x}, x\neq 0\) with respect to x.

A. 10x+1
B. 10x+2
C. X(15x+1)
D. X(15x+2)


Question 49:


A curve is given by \(y = 5 - x - 2x^{2}\). Find the equation of its line of symmetry.

A. \(x = \frac{-41}{8}\)
B. \(x = \frac{-1}{4}\)
C. \(x = \frac{1}{4}\)
D. \(x = \frac{41}{8}\)


Question 50:


In a class of 10 boys and 15 girls, the average score in a Biology test is 90. If the average score for the girls is x, find the average score for the boys in terms of x.

A. \(200 - \frac{2x}{3}\)
B. \(225 - \frac{3x}{2}\)
C. \(250 - 2x\)
D. \(250 - 3x\)






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