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 1381:

  Given matrix M = $\left|\begin{array}{ccc}-2& 0& 4\\ 0& -1& 6\\ 5& 6& 3\end{array}\right|$, find $M^T+2M$

  Options:
  A) $\left|\begin{array}{ccc}-4& 2& 1\\ 6& 0& 5\\ 0& 6& 2\end{array}\right|$
  B) $\left|\begin{array}{ccc}-6& 0& 13\\ 0& -3& 18\\ 14& 18& 9\end{array}\right|$
  C) $\left|\begin{array}{ccc}5& 2& 6\\ 0& 1& 1\\ 3& 4& -7\end{array}\right|$
  D) $\left|\begin{array}{ccc}-4& 0& 8\\ 0& -2& -16\\ 10& 12& 6\end{array}\right|$
  Show Answer
  The correct answer is B .
• Question 1382: For what values of x is the curve y = $\frac{x^2+3}{x+4}$ decreasing?
  Options:
  A) -3 < x $\le$ 0
  B) -3 $\ge$ x < 0
  C) 0 < x < 3
  D) 0 $\le$ x $\le$ 3
  Show Answer
  The correct answer is D .
• Question 1383:

  A binary operation * is defined by a*b = ab+a+b for any real number a and b. if the identity element is zero, find the inverse of 2 under this operation.

  Options:
  A) 2/3
  B) 1/2
  C) -1/2
  D) -2/3
  Show Answer
  The correct answer is D .
• Question 1384:

  Factorize 4a${}^2$ - 9b${}^2$

  Options:
  A) (2a-3b) (2a+3b)
  B) (2a-b) (2a+3b)
  C) (2a-3b) (a+3b)
  D) (a-3b) (a+3b)
  Show Answer
  The correct answer is A .
• Question 1385: If y = x sin x, find $\frac{\delta y}{\delta x}$ Options:
  A) sin x - cos x
  B) cos x - x sin x
  C) cos x + x sin x
  D) sin x + x cos x
  Show Answer
  The correct answer is D .
• Question 1386: 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 1387: Find all values of x satisfying the inequality -11 $\le$ 4 - 3x $\le$ 28
  Options:
  A) -5 $\le$ x v 8
  B) 5 $\le$ x $\le$ 8
  C) -8 $\le$ x $\le$ 5
  D) -5 < x $\le$ 8
  Show Answer
  The correct answer is C .
• Question 1388: Find the tangent to the acute angle between the lines 2x+y = 3 and 3x-2y = 5. Options:
  A) -7/4
  B) 7/8
  C) 7/4
  D) 7/2
  Show Answer
  The correct answer is C .
• Question 1389: Add the same number to the numerator and denominator of $\frac{3}{18}$. If the resulting fraction is $\frac{1}{2}$, then the number added is Options:
  A) 13
  B) 14
  C) 15
  D) 12
  E) 11
  Show Answer
  The correct answer is D .
• Question 1390: The expression x³ - 4x² + cx + d is such that x + 1 is its factor, and its value is 1 when x is -2. Find c and d. Options:
  A) c = 4 and d = -9
  B) c = -4 and d = 9
  C) c = -20 and d = -15
  D) c = 20 and d = -15
  E) c = -20 and d = 15
  Show Answer
  The correct answer is C .