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Further Mathematics Past Questions


Question 41:


If \((2x^{2} - x - 3)\) is a factor of \(f(x) = 2x^{3} - 5x^{2} - x + 6\), find the other factor

A. (x - 2)
B. (x - 1)
C. (x + 1)
D. (x + \(\frac{3}{2}\))


Question 42:


If P = \({n^{2} + 1: n = 0,2,3}\) and Q = \({n + 1: n = 2,3,5}\), find P\(\cap\) Q.

A. {5, 10}
B. {4, 6}
C. {1, 3}
D. { }


Question 43:


Face 1 2 3 4 5 6
Frequency 12 18 y 30 2y 45


Given the table above as the results of tossing a fair die 150 times. Find the probability of obtaining a 5.

A. \(\frac{1}{10}\)
B. \(\frac{1}{6}\)
C. \(\frac{1}{5}\)
D. \(\frac{3}{10}\)


Question 44:


Face 1 2 3 4 5 6
Frequency 12 18 y 30 2y 45


Given the table above as the result of tossing a fair die 150 times, find the mode.

A. 3
B. 4
C. 5
D. 6


Question 45:


Given that a = 5i + 4j and b = 3i + 7j, evaluate (3a - 8b).

A. 9i + 44j
B. -9i + 44j
C. -9i - 44j
D. 9i - 44j






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