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Mathematics 1981 JAMB Past Questions

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31
The area of a circular plate is one-sixteenth the surface area of a ball of a ball, If the area of the plate is given as P cm2, then the radius of the ball is
  • A. \(\frac{2P}{\pi}\)
  • B. \(\frac{P}{\sqrt{\pi}}\)
  • C. \(\frac{P}{\sqrt{2\pi}}\)
  • D. 2\(\frac{P}{\pi}\)
View Answer & Discuss (4) JAMB 1981
32

Show that \(\frac{\sin 2x}{1 + \cos x}\) + \(\frac{sin2 x}{1 - cos x}\) is

  • A. sin x
  • B. cos2x
  • C. 2
  • D. 3
View Answer & Discuss JAMB 1981
33
The first term of an Arithmetic progression is 3 and the fifth term is 9. Find the number of terms in the progression if the sum is 81
  • A. 12
  • B. 27
  • C. 9
  • D. 4
  • E. 36
View Answer & Discuss (2) JAMB 1981
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34
Simplify T = \(\frac{4R_2}{R_1^{-1} + R_2^{-1} + 4R_3^{-1}}\)
  • A. \(\frac{4R_1 \times R_2 R_3}{R_2R_3 + R_1R_3 + 4R_1 R_2}\)
  • B. \(\frac{R_1 R_2 R_3}{R_2R_3 + R_1R_2 + 4R_1 R_2}\)
  • C. \(\frac{16R_1 R_2 R_3}{R_2R_3 + R_1R_2 + R_1 R_2}\)
  • D. \(\frac{4R_1 R_2 R_3}{4R_2R_3 + R_1R_2 + 4R_1 R_2}\)
View Answer & Discuss (2) JAMB 1981
35

If b = a + cp and r = ab + \(\frac{1}{2}\)cp2, express b\(^2\) in terms of a, c, r.

  • A. b2 = aV + 2cr
  • B. b2 = ar + 2c2r
  • C. b2 = a2 = \(\frac{1}{2}\) cr2
  • D. b2 = \(\frac{1}{2}\)ar2 + c
  • E. b2 = 2cr - a2
View Answer & Discuss (3) JAMB 1981
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