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 1: If x = 3 - $\sqrt{3}$, find x² + $\frac{36}{x^2}$ Options:
  A) 9
  B) 18
  C) 24
  D) 27
  Show Answer
  The correct answer is C .
• Question 2: A man is paid r naira per hour for normal work and double rate for overtime. if he does a 35-hour week which includes q hours of overtime, what is his weekly earning in naira? Options:
  A) r(35 + q)
  B) q(35r - q)
  C) q(35 + r)
  D) r(35 + 2q)
  Show Answer
  The correct answer is D .
• Question 3: If tan $\theta$ = $\frac{5}{4}$ find sin²$\theta$ - cos²$\theta$ Options:
  A) $\frac{9}{41}$
  B) $\frac{5}{4}$
  C) 1
  D) $\frac{9}{1}$
  Show Answer
  The correct answer is A .
• Question 4: Given that 3x - 5y - 3 = 0, 2y - 6x + 5 = 0 the value of (x, y) is Options:
  A) ($\frac{-1}{8},\frac{19}{24}$)
  B) 8, $\frac{24}{19}$
  C) -8, $\frac{24}{19}$
  D) ($\frac{19}{24},\frac{-1}{8}$)
  Show Answer
  The correct answer is D .
• Question 5: If 2x + 3y = 1 and x - 2y = 11, find (x + y) Options:
  A) 5
  B) -3
  C) 8
  D) 2
  E) -2
  Show Answer
  The correct answer is D .
• Question 6:

  The difference between an exterior angle of (n - 1) sided regular polygon and an exterior angle of (n + 2) sided regular polygon is 6${}^o$, then the value of "n" is

  Options:
  A) 11
  B) 13
  C) 12
  D) 14
  Show Answer
  The correct answer is B .
• Question 7: Find y, if $\sqrt{12}-\sqrt{147}$ + y$\sqrt{3}$ = 0 Options:
  A) 3
  B) 7
  C) 1
  D) 5
  Show Answer
  The correct answer is D .
• Question 8: If e^x = 1 + $\frac{x}{2}$ + $\frac{x^2}{1.2}$ + $\frac{x^3}{1.2.3}$ + .....Find $\frac{1}{e^x}$ Options:
  A) 1 - $\frac{x}{2}$ + $\frac{x^2}{{1.2}^3}$ + $\frac{x^3}{2^4.3}$ + .........
  B) 1 - $\frac{x}{2}$ + $\frac{x^2}{{1.2}^3}$ + $\frac{x^4}{2.4.3}$ + ..
  C) 1 + $\frac{x}{2}$ + $\frac{x^2}{1.2}$ + $\frac{x^3}{1.2.3}$ + $\frac{x^4}{1.23.4}$ + .........
  D) 1 - x + $\frac{x^2}{{1.2}^3}$ + $\frac{x^3}{2^4.3}$ + .........
  E) 1 + $\frac{x}{2}$ + $\frac{x^2}{{1.2}^3}$ + $\frac{x^4}{1.2.6}$ + .........
  Show Answer
  The correct answer is C .
• Question 9: A binary operation $\mathrm{\Delta }$ is defined is defined by a $\mathrm{\Delta }$ b = a + b + 1 for any real numbers a and b. Find the inverse of the real number 7 under the operation $\mathrm{\Delta }$, if the identify element is -1 Options:
  A) -1
  B) 5
  C) -7
  D) -9
  E) 9
  Show Answer
  The correct answer is D .
• Question 10: If x = $\left(\begin{array}{cc}1& 2\\ 0& 3\end{array}\right)$ and y = $\left(\begin{array}{cc}2& 1\\ 4& 3\end{array}\right)$. Find xy. Options:
  A) $\left(\begin{array}{cc}10& 7\\ 12& 9\end{array}\right)$
  B) $\left(\begin{array}{cc}2& 7\\ 4& 17\end{array}\right)$
  C) $\left(\begin{array}{cc}10& 4\\ 4& 6\end{array}\right)$
  D) $\left(\begin{array}{cc}4& 3\\ 10& 9\end{array}\right)$
  Show Answer
  The correct answer is A .