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Mathematics JAMB Past Questions

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1416

A steel ball of radius 1 cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder?

  • A. \(\frac{44}{3}\)\(\pi\)cm3
  • B. 12\(\pi\)cm3
  • C. \(\frac{38}{3}\)\(\pi\)cm3
  • D. \(\frac{40}{3}\)\(\pi\)cm3
  • E. \(\frac{32}{33}\)\(\pi\)cm3
View Answer & Discuss (2) JAMB 1979
1417
Simplify \(\frac{x^2 + y^2 + xy}{x + y}\) - \(\frac{x^2 + y^2}{x - y}\)
  • A. \(\frac{x^2 + y^2} {(x - y)^2}\)
  • B. \(\frac{2y^3} {y^2 - x^2}\)
  • C. \(\frac{3x^2 + y^2} {(2x - y)^2}\)
  • D. \(\frac{x^2 + y^2} {(x^2 - y)}\)
View Answer & Discuss (2) JAMB 1979
1418
A ladder resting on a vertical wall makes an angles whose tangent is 2.4 with the ground. If the distance between the foot of the ladder and the wall is 50cm, What is the length of the ladder?
  • A. 1m
  • B. 1.1m
  • C. 1.2m
  • D. 0.9m
  • E. 1.3m
View Answer & Discuss (10) JAMB 1979
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1419

Simplify 2\(\frac{5}{12}\) - 1\(\frac{7}{8}\) x \(\frac{6}{5}\)

  • A. \(\frac{1}{6}\)
  • B. \(\frac{13}{20}\)
  • C. \(\frac{11}{30}\)
  • D. \(\frac{9}{4}\)
  • E. \(\frac{5}{3}\)
View Answer & Discuss (5) JAMB 1979
1420
One of the following statements is wrong. Which is it?
  • A. If a triangle is equiangular then it is also equilateral
  • B. If a triangle is equilateral then it is also then it is also equiangular
  • C. If two triangles are similar then they are also congurent
  • D. The sum of the interior angles of any triangle is 180 degrees
View Answer & Discuss (1) JAMB 1979
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