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Mathematics Past Questions


Question 161:


If \(\frac{2 \sqrt{3} - \sqrt{2}}{\sqrt{3} + 2 \sqrt{2}} = m + n\sqrt{6}\),

find the values of m and n respectively

A. 1, - 2
B. - 2, n = 1
C. \(\frac{-2}{5}\), 1
D. \(\frac{2}{3}\)


Question 162:


Simplify (3√64a3)\(^{−1}\)

A. 4a
B. \(\frac{1}{8a}\)
C. 8a
D. \(\frac{1}{4a}\)


Question 163:


Find the gradient of the line joining the points (3, 2) and (1, 4)

A. 3/2
B. 2/1
C. -1
D. 3/2


Question 164:


The operation * on the set R of real number is defined by x * y = 3x + 2y − 1, find 3* − 1

A. 9
B. - 9
C. 6
D. - 6


Question 165:


Find \(\int (x^{2} + 3x-5)dx\)

A. \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) - 5x + k
B. \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) + 5x + k
C. \(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) - 5x + k
D. \(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) + 5x + k






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