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 1341:

  

  In the diagram, angle QPR = 90${}^{\circ }$, angle PSR = 90${}^{\circ }$ and PR = 5 units. Find the length of QS.

  Options:
  A) 5 tan 25${}^{\circ }$ sin 65${}^{\circ }$
  B) 5 cos 25${}^{\circ }$ sin 65${}^{\circ }$
  C) 5 tan 25${}^{\circ }$ cos 65${}^{\circ }$
  D) cos 25${}^{\circ }$ cos 65${}^{\circ }$
  E) 5 cosec 25${}^{\circ }$
  Show Answer
  The correct answer is C .
• Question 1342: The variance of the scores 1, 2, 3, 4, 5 is Options:
  A) 1.25
  B) 1.40
  C) 2.05
  D) 3.00
  Show Answer
  The correct answer is C .
• Question 1343:

  Given that $\theta$ is an acute angle and sin $\theta$ = $\frac{m}{n}$, find cos $\theta$

  Options:
  A) $\frac{\sqrt{n^2-m^2}}{m}$
  B) $\frac{\sqrt{(n+m)(n-m)}}{n}$
  C) $\frac{m}{\sqrt{n^2-m^2}}$
  D) $\sqrt{\frac{n}{n^2-m^2}}$
  Show Answer
  The correct answer is B .
• Question 1344: Simplify $\frac{(2m-u{)}^2-(m-2u{)}^2}{5m^2-5u^2}$ Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{2m-u}{5m+u}$
  D) $\frac{m-2u}{m+5u}$
  Show Answer
  The correct answer is A .
• Question 1345:

  

  In the cyclic quadrilateral above . Find < PRO

  Options:
  A) 70^o
  B) 20^o
  C) 50^o
  D) 30^o
  Show Answer
  The correct answer is D .
• Question 1346: Two numbers are removed at random from the numbers 1, 2, 3 and 4. What is the probability that the sum of the numbers removed is even? Options:
  A) $\frac{2}{3}$
  B) $\frac{2}{15}$
  C) $\frac{1}{2}$
  D) $\frac{1}{4}$
  Show Answer
  The correct answer is C .
• Question 1347: Convert 72₆ to a number in base three Options:
  A) 2211
  B) 2121
  C) 1212
  D) 1122
  Show Answer
  The correct answer is D .
• Question 1348:

  Find the area of a regular hexagon inscribed in a circle of radius 8cm

  Options:
  A) 16$\sqrt{3}$ cm²
  B) 96$\sqrt{3}$ cm²
  C) 192$\sqrt{3}$ cm²
  D) 16$\sqrt{3}$ cm²
  E) 33cm²
  Show Answer
  The correct answer is B .
• Question 1349: Simplify 213₄ x 23₄ Options:
  A) 10311₄
  B) 10321₄
  C) 12231₄
  D) 13211₄
  Show Answer
  The correct answer is C .
• Question 1350:

  The angles of a quadrilateral are 5x-30, 4x+60, 60-x and 3x+61.find the smallest of these angles​

  Options:
  A) 5x - 30
  B) 4x + 60
  C) 60 - x
  D) 3x + 61
  Show Answer
  The correct answer is C .