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 11: The mean of seven numbers is 96. If an eighth number is added, the mean becomes 112. Find the eighth number. Options:
  A) 126
  B) 180
  C) 216
  D) 224
  Show Answer
  The correct answer is D .
• Question 12: A binary operation θ defined on the set of real number is such that xθy = xy/6 for all x, y ∈ R. Find the inverse of 20 under this operation when the identity element is 6 Options:
  A) ¹/₁₂
  B) ¹⁰/₃
  C) ¹/₂₀
  D) ⁹/₅
  Show Answer
  The correct answer is D .
• Question 13:

  If $\text{N}=\left(\begin{array}{ccc}3& 5& -4\\ 6& -3& -5\\ -2& 2& 1\end{array}\right)$, find |N|.

  Options:
  A) 65
  B) 23
  C) 17
  D) 91
  Show Answer
  The correct answer is C .
• Question 14: Find the size of each exterior angle of a regular octagon Options:
  A) 51${}^{\circ }$
  B) 45${}^{\circ }$
  C) 40${}^{\circ }$
  D) 36${}^{\circ }$
  Show Answer
  The correct answer is B .
• Question 15: Solve $\frac{1}{x+1}$ - $\frac{1}{x+3}$ = $\frac{1}{4}$ Options:
  A) x = -1 or 3
  B) x = 1 or 3
  C) x = 1 or -5
  D) x = -1 or 5
  E) x = -1 or -3
  Show Answer
  The correct answer is C .
• Question 16: Evaluate $\int \sin 2xdx$ Options:
  A) cos 2x + k
  B) $\frac{1}{2}$cos 2x + k
  C) $-\frac{1}{2}$cos 2x + k
  D) -cos 2x + k
  Show Answer
  The correct answer is C .
• Question 17:

  Evaluate $\int x^2\text{Sin}x\mathrm{\Delta }x$

  Options:
  A) −Cos x + 2xSin x + C
  B) −Cos x + 2
  C) x²Cos x + 2xSin x + 2Cos x+ C
  D) −x²Cos x + 2xSinx + 2Cos x + C
  Show Answer
  The correct answer is D .
• Question 18: The inverse of matrix N = $\left|\begin{array}{cc}2& 3\\ 1& 4\end{array}\right|$ is Options:
  A) $\frac{1}{5}$ $\left|\begin{array}{cc}2& 1\\ 3& 4\end{array}\right|$
  B) $\frac{1}{5}$ $\left|\begin{array}{cc}4& -3\\ -1& 2\end{array}\right|$
  C) $\frac{1}{5}$ $\left|\begin{array}{cc}2& -1\\ -3& 4\end{array}\right|$
  D) $\frac{1}{5}$ $\left|\begin{array}{cc}4& 3\\ 1& 2\end{array}\right|$
  Show Answer
  The correct answer is B .
• Question 19:

  Find the area and perimeter of a square whose length of diagonals is 20$\sqrt{2}$ cm.

  Options:
  A) 800 cm${}^2$, 80 cm
  B) 400 cm, 80 cm${}^2$
  C) 80 cm, 800 cm${}^2$
  D) 400 cm${}^2$, 80 cm
  Show Answer
  The correct answer is D .
• Question 20:

  Marks	1	2	3	4	5
  Frequency	2	2	8	4	4

  The table above show the marks obtained in a given test.

  Find the mean mark

  Options:
  A) 3.1
  B) 3.0
  C) 3.2
  D) 3.3
  Show Answer
  The correct answer is D .