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 1321:

  If $\sin x=\frac{4}{5}$, find $\frac{1+{\cot }^{2}x}{{\csc }^{2}x-1}$.

  Options:
  A) $\frac{13}{2}$
  B) $\frac{25}{9}$
  C) $\frac{3}{13}$
  D) $\frac{4}{11}$
  Show Answer
  The correct answer is B .
• Question 1322: Simplify $\frac{x}{x+y}$ + $\frac{y}{x-y}$ - $\frac{x^2}{x^2-y^2}$ Options:
  A) $\frac{x}{x^2-y^2}$
  B) $\frac{y^2}{x^2-y^2}$
  C) $\frac{x^2}{x^2-y^2}$
  D) $\frac{y}{x^2-y^2}$
  Show Answer
  The correct answer is B .
• Question 1323: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 1324: In a geometric progression, the first term is 153 and the sixth term is $\frac{17}{27}$. The sum of the first four terms is Options:
  A) $\frac{860}{3}$
  B) $\frac{680}{3}$
  C) $\frac{608}{3}$
  D) $\frac{680}{3}$
  Show Answer
  The correct answer is B .
• Question 1325:

  

  The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 1 years old?

  Options:
  A) ²⁷/₄₀
  B) ¹⁷/₂₀
  C) ³/₃₀
  D) ³³/₄₀
  Show Answer
  The correct answer is B .
• Question 1326:

  A sector of a circle has an area of 55 cm². If the radius of the circle is 10 cm, calculate the angle of the sector. [π = 22/7]

  Options:
  A) 45${}^{\circ }$
  B) 63${}^{\circ }$
  C) 75${}^{\circ }$
  D) 90${}^{\circ }$
  Show Answer
  The correct answer is B .
• Question 1327: Solve the following equation equation for x² + $\frac{2x}{r^2}$ + $\frac{1}{r^4}$ = 0 Options:
  A) r²
  B) $\frac{1}{r^4}$
  C) -$\frac{1}{r^2}$
  D) 1 - r
  Show Answer
  The correct answer is C .
• Question 1328:

  Given that I₃ is a unit matrix of order 3, find |I₃|

  Options:
  A) -1
  B) 0
  C) 1
  D) 2
  Show Answer
  The correct answer is C .
• Question 1329:

  Find the derivativeof the function y = 2x${}^2$(2x - 1) at the point x = -1?

  Options:
  A) 18
  B) 16
  C) -4
  D) -6
  Show Answer
  The correct answer is B .
• Question 1330:

  

  In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume of the solid.

  Options:
  A) 180 πcm³
  B) 162 πcm³
  C) 216 πcm³
  D) 198 πcm³
  Show Answer
  The correct answer is D .