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 91: The sum of four numbers is 1214₅. What is the average expressed in base five? Options:
  A) 114
  B) 141
  C) 401
  D) 411
  Show Answer
  The correct answer is B .
• Question 92: Find the value of k if $\frac{k}{\sqrt{3}+\sqrt{2}}$ = k$\sqrt{3-2}$ Options:
  A) 3
  B) 2
  C) $\sqrt{3}$
  D) $\sqrt{2}$
  Show Answer
  The correct answer is D .
• Question 93: Simplify log₁₀1.5 + 3 log₁₀2 − log₁₀0.3 Options:
  A) log₁₀4
  B) log₁₀40
  C) log₁₀-40
  D) log₁₀4^-
  Show Answer
  The correct answer is B .
• Question 94: If cos$\theta$ = $\frac{a}{b}$, find 1 + tan²$\theta$ Options:
  A) $\frac{b^2}{a^2}$
  B) $\frac{a^2}{b^2}$
  C) $\frac{a^2+b^2}{b^2-a^2}$
  D) $\frac{2a^2+b^2}{a^2+b^2}$
  Show Answer
  The correct answer is A .
• Question 95:

  Given $\sin 58°=\cos p°$, find p.

  Options:
  A) 48°
  B) 58°
  C) 32°
  D) 52°
  Show Answer
  The correct answer is C .
• Question 96: If x + 1 is a factor of x³ + 3x² + kx + 4, find the value of k Options:
  A) 6
  B) -6
  C) 8
  D) -8
  Show Answer
  The correct answer is A .
• Question 97: Make y the subject of the formula Z = x² + $\frac{1}{y^3}$ Options:
  A) y = $\frac{1}{(z-x^2{)}^3}$
  B) y = $\frac{1}{(z+x^2)\frac{1}{3}}$
  C) y = $\frac{1}{(z{x}^2)\frac{1}{3}}$
  D) y = $3\sqrt{z-x^2}$
  Show Answer
  The correct answer is D .
• Question 98:

  Find the distance between the points ($\frac{1}{2}$, -$\frac{1}{2}$).

  Options:
  A) 1
  B) 0
  C) √3
  D) √2
  Show Answer
  The correct answer is D .
• Question 99: A triangle has angles 30${}^{\circ }$, 15${}^{\circ }$ and 135${}^{\circ }$. The side opposite to the angle 30${}^{\circ }$ is length 6cm. The side opposite to the angle 135${}^{\circ }$ is equal to Options:
  A) 12cm
  B) 6cm
  C) 6$\sqrt{2}$cm
  D) 12$\sqrt{2}$cm
  Show Answer
  The correct answer is C .
• Question 100: $\left(\begin{array}{cc}-2& 1\\ 2& 3\end{array}\right)$ + $\left(\begin{array}{cc}p& q\\ r& s\end{array}\right)$ = $\left(\begin{array}{cc}1& 0\\ 0& 1\end{array}\right)$. What is the value of r? Options:
  A) -$\frac{1}{8}$
  B) $\frac{3}{8}$
  C) $\frac{5}{8}$
  D) $\frac{1}{4}$
  Show Answer
  The correct answer is D .