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 1981: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .
• Question 1982:

  p = $\left|\begin{array}{ccc}x& 3& 0\\ 2& y& 3\\ 4& 2& 4\end{array}\right|$

  q = $\left|\begin{array}{ccc}x& 2& z\\ 3& y& 2\\ 0& 3& z\end{array}\right|$ Where p^T is the transpose p calculate /p^T/ when x = 0, y = 1 and z = 2

  Options:
  A) 48
  B) 24
  C) -24
  D) -48
  Show Answer
  The correct answer is B .
• Question 1983: If 7 and 189 are the first and fourth terms of a geometric progression respectively find the sum for the first
  three terms of the progression Options:
  A) 182
  B) 180
  C) 91
  D) 63
  E) 28
  Show Answer
  The correct answer is C .
• Question 1984: The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone Options:
  A) 7cm
  B) 22cm
  C) 28cm
  D) 49cm
  E) 154cm
  Show Answer
  The correct answer is C .
• Question 1985: A man invested ₦5,000 for 9 months at 4%. What is the simple interest? Options:
  A) ₦150
  B) ₦220
  C) ₦130
  D) ₦250
  Show Answer
  The correct answer is A .
• Question 1986: If the quadratic function 3x² - 7x + R is a perfect square, find R Options:
  A) $\frac{49}{24}$
  B) $\frac{49}{12}$
  C) $\frac{49}{13}$
  D) $\frac{49}{3}$
  E) $\frac{49}{36}$
  Show Answer
  The correct answer is B .
• Question 1987: A cliff on the bank of a river is 300 meters high. If the angle of depression of a point on the opposite side of the river is 60^o, find the width of the river. Options:
  A) 75√3m
  B) 100√3m
  C) 200√3m
  D) 100m
  Show Answer
  The correct answer is B .
• Question 1988: Find all real numbers x which satisfy the inequality $\frac{1}{3}$(x + 1) - 1 > $\frac{1}{5}$(x + 4)
  Options:
  A) x < 11
  B) x < -1
  C) x > 6
  D) x > 11
  Show Answer
  The correct answer is D .
• Question 1989: Rationalize the denominator of the given expression $\frac{\sqrt{1+a}-\sqrt{a}}{1+a+\sqrt{a}}$ Options:
  A) 1 + 2a - 2$\sqrt{a(1+a)}$
  B) $\sqrt{1(1+a)}$
  C) 2a - 2$\sqrt{a(1+a)}$
  D) 1 + 2a - 2$\sqrt{a+b}$
  Show Answer
  The correct answer is A .
• Question 1990: Find the point (x, y) on the Euclidean plane where the curve y = 2x² - 2x + 3 has 2 as gradient Options:
  A) (1, 3)
  B) (2, 7)
  C) (0, 3)
  D) (3, 15)
  Show Answer
  The correct answer is A .