Mathematics Exam Past Questions and Answers | JAMB, WAEC and NECO

Mathematics looks at measurement, relationships, and properties of numbers and groups using numbers and symbols. Important topics in math include arithmetic, algebra, geometry, and calculus.

• Question 1901: A chord of circle of radius 7cm is 5cm from the centre of the maximum possible area of the square? Options:
  A) 4√6 cm
  B) 3√6 cm
  C) 6√6 cm
  D) 2√6 cm
  Show Answer
  The correct answer is A .
• Question 1902: P and Q are fixed points and X is a variable point which moves so that angle PXO = 45^o. What is the locus of x? Options:
  A) A pair of straight lines parallel to PQ
  B) The perpendicular bisector of PQ
  C) An arc of a circle passing through P and Q
  D) A circle with diameter PQ
  E) The bisector of angle PXQ
  Show Answer
  The correct answer is A .
• Question 1903:

  The locus of pointsequidistant from a fixed point.

  Options:
  A) circle
  B) perpendicular lines
  C) straight line
  D) bisector
  Show Answer
  The correct answer is A .
• Question 1904:

  

  In the diagram, a cylinder is surmounted by a hemispherical bowl. Calculate the volume of the solid

  Options:
  A) 198$\pi c{m}^3$
  B) 180$\pi c{m}^3$
  C) 162$\pi c{m}^3$
  D) 216$\pi c{m}^3$
  Show Answer
  The correct answer is A .
• Question 1905:

  if y = 23${}_{five}$ + 101${}_{three}$ find y leaving your answer in base two

  Options:
  A) 1110
  B) 10111
  C) 11101
  D) 111100
  Show Answer
  The correct answer is B .
• Question 1906: Find the value of ${\int }_0^{\pi }\frac{co{s}^2\theta -1}{si{n}^2\theta }d\theta$ Options:
  A) π
  B) π/2
  C) -π/2
  D) -π
  Show Answer
  The correct answer is D .
• Question 1907:

  In triangle FGB, < G = 90°, < H = 60°, while in triangle XYZ, < X = 60° and < Y = 30°. Form XYZ write down the ratio equal to $\frac{FG}{FH}$

  Options:
  A) $\frac{YX}{ZX}$
  B) $\frac{YX}{YZ}$
  C) $\frac{ZX}{YZ}$
  D) $\frac{YZ}{XY}$
  Show Answer
  The correct answer is D .
• Question 1908: Evaluate $\frac{\frac{1}{10}\times \frac{2}{3}+\frac{1}{4}}{\frac{\frac{1}{2}}{\frac{3}{5}}-\frac{1}{4}}$ Options:
  A) $\frac{7}{12}$
  B) $\frac{19}{35}$
  C) $\frac{2}{25}$
  D) $\frac{19}{60}$
  Show Answer
  The correct answer is B .
• Question 1909: Three consecutive terms of a geometric progression are given as n-2, n and n=3. Find the common ratio Options:
  A) 1/4
  B) 1/2
  C) 2/3
  D) 3/2
  Show Answer
  The correct answer is D .
• Question 1910:

  The angle of elevation and depression of the top and bottom of another building, measured from the top of a 24 m tall building, is 30° and 60°, respectively. Determine the second building's height.

  Options:
  A) 24 m
  B) 32√3 m
  C) 24√3
  D) 32 m
  Show Answer
  The correct answer is D .