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 2101: If x = $\left|\begin{array}{ccc}1& 0& 1\\ 2& -1& 0\\ -1& 0& 1\end{array}\right|$ and y = $\left|\begin{array}{ccc}-1& 1& 2\\ 0& -1& -1\\ 2& 0& 1\end{array}\right|$
  find 2x - y Options:
  A) $\left|\begin{array}{ccc}3& -1& 0\\ 4& -3& -1\\ -4& 1& 1\end{array}\right|$
  B) $\left|\begin{array}{ccc}3& -1& 0\\ 4& -1& 1\\ -4& 1& 1\end{array}\right|$
  C) $\left|\begin{array}{ccc}3& -1& 0\\ 4& -3& 1\\ -4& 1& 1\end{array}\right|$
  D) $\left|\begin{array}{ccc}3& -1& 0\\ 4& 1& 1\\ -4& -1& 1\end{array}\right|$
  Show Answer
  The correct answer is B .
• Question 2102: Three consecutive terms of a geometric progression are given as n-2, n and n=3. Find the common ratio Options:
  A) 1/4
  B) 1/2
  C) 2/3
  D) 3/2
  Show Answer
  The correct answer is D .
• Question 2103:

  find the range of values of values of r which satisfies the following inequality, where a, b and c are positive $\frac{r}{a}$ + $\frac{r}{b}$ + $\frac{r}{c}$ > 1

  Options:
  A) r > $\frac{abc}{bc+ac+ab}$
  B) r < abc
  C) r > $\frac{1}{a}$ + $\frac{1}{b}$ + $\frac{1}{c}$
  D) r < $\frac{1}{abc}$
  Show Answer
  The correct answer is A .
• Question 2104:

  Each of the base angles of an isosceles triangle is 59^o, and the vertices of the triangle lie on a circle. Determine the angle at which the base of the triangle subtends at the centre of the circle.

  Options:
  A) 124^o
  B) 16^o
  C) 64^o
  D) 58^o
  Show Answer
  The correct answer is A .
• Question 2105: x is directly proportional to y and inversely proportional to z. If x = 9 when y = 24 and z = 8, what is the value of x when y = 5 and z = 6? Options:
  A) $\frac{5}{6}$
  B) 11
  C) 3$\frac{3}{5}$
  D) 2$\frac{1}{2}$
  E) 1$\frac{1}{5}$
  Show Answer
  The correct answer is D .
• Question 2106: The graph of the function y = x² + 4 and a straight line PQ are drawn to solve the equation x² - 3x + 2 = 0. What is the equation of PQ? Options:
  A) y = 3x - 2
  B) y = 3x + 2
  C) y = 3x - 4
  D) y = 3x + 4
  Show Answer
  The correct answer is B .
• Question 2107: Factorize 2t² + t - 15 Options:
  A) (2t - 3)(t + 5)
  B) (t + 3)(2t - 5)
  C) (t + 3)(t - 5)
  D) (2t + 3)(t - 5)
  Show Answer
  The correct answer is B .
• Question 2108: An amount of money is shared among P,Q and R such that for every 3P gets, Q gets 2 and for every 1Q gets, R gets 4. Find P: Q : R Options:
  A) 3 : 1 : 4
  B) 3 : 2 : 1
  C) 3 : 2 : 4
  D) 3 : 3 : 4
  E) 3 : 2 : 8
  Show Answer
  The correct answer is E .
• Question 2109: The first term of a geometric progression is twice its common ratio. Find the sum of the first two terms of the G.P if its sum to infinity is 8. Options:
  A) 8/5
  B) 8/3
  C) 72/25
  D) 56/9
  Show Answer
  The correct answer is C .
• Question 2110: Solve the inequality 2 - x > x².
  Options:
  A) x < -2 or x > 1
  B) x > 2 or x< -1
  C) -1 < x < 2
  D) -2 < x < 1
  Show Answer
  The correct answer is D .