Jamb Mathematics 1997 Past Questions and Answers

Question 31:

• JAMB 1997

The angle of elevation of a building from a measuring instrument placed on the ground is 30^o. If the building is 40m high, how far is the instrument from the foot of the building?

A. \(\frac{20}{√3}\)m
B. \(\frac{40}{√3}\)m
C. 20√3m
D. 40√3m

Question 32:

• JAMB 1997

In a triangle XYZ, if < ZYZ is 60, XY = 3cm and YZ = 4cm, calculate the length of the sides XZ.

A. √23cm
B. √13cm
C. 2√5cm
D. 2√3cm

Question 33:

• JAMB 1997

Differentiate \(\frac{6x^3 - 5x^2 + 1}{3x^2}\) with respect to x

A. \(\frac{2 + 2}{3x^3}\)
B. 2 + \(\frac{1}{6x}\)
C. 2 - \(\frac{2}{3x^3}\)
D. \(\frac{1}{5}\)

Question 34:

• JAMB 1997

\(\frac{d}{dx}\) cos(3x\(^2\) - 2x) is equal to

A. -sin(6x - 2)
B. -sin(3x² - 2x)dx
C. (6x - 2) sin(3x² - 2x)
D. -(6x - 2)sin(3x² - 2x)

Question 35:

• JAMB 1997

Integrate \(\frac{1}{x}\) + cos x with respect to x

A. -\(\frac{1}{x^2}\) + sin x + k
B. X + sin x - k
C. X - sin x + k
D. -\(\frac{1}{x^2}\) - sin x + k