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Mathematics Past Questions

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2296

A square of cardboard is taped at the perimeter by a piece of ribbon 20cm long. What is the area of the board?

  • A. 20sq.cm
  • B. 100sq.cm
  • C. 25sq.cm
  • D. 16sq.cm
  • E. 36sq.cm
View Answer & Discuss (4) JAMB 1979
2297

Rationalize the denominator of the expression \(\frac{6 + 2\sqrt{5}}{4 - 3\sqrt{6}}\)

  • A. \(\frac{12+ 4\sqrt{5 + 7} 5 + 6\sqrt{3}}{39}\)
  • B. \(\frac{-(24 + 18\sqrt{6} + 8\sqrt{5} + 6\sqrt{30})}{38}\)
  • C. \(\frac{24 + 3\sqrt{6 + 8} 5 + 6\sqrt{30}}{19}\)
  • D. \(\frac{-15 + 3\sqrt{5 + 18} 5 + 6\sqrt{30}}{36}\)
  • E. \(\frac{-(12 + 4\sqrt{5} +9\sqrt{6} + 3\sqrt{30})}{19}\)
View Answer & Discuss (8) JAMB 1979
2298

Simplify \(\frac{5^x \times 25^{x - 1}}{125^{x + 1}}\)

  • A. 52x + 1
  • B. 5x + 1
  • C. 5-5
  • D. 52
  • E. 53
View Answer & Discuss (2) JAMB 1979
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2299

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
2300
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
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