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 1991: An operation * is defined on the set of real numbers by a * b = ab + 2(a + b + 1). find the identity elements Options:
  A) 2
  B) 1
  C) -1
  D) -2
  Show Answer
  The correct answer is C .
• Question 1992: simplify $\frac{6^{2n+1}\times 9^n\times 4^{2n}}{{18}^n\times 2^n\times {12}^{2n}}$ Options:
  A) 3²ⁿ
  B) 3 x 2^{3n - 1}
  C) 2ⁿ
  D) 6
  E) 1
  Show Answer
  The correct answer is D .
• Question 1993: If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P $\cap$ Q Options:
  A) {3}
  B) {2,3}
  C) {2,3,5}
  D) {1,2}
  Show Answer
  The correct answer is B .
• Question 1994: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 1995: 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 1996:

  $\begin{array}{cccccc}\text{Age in years}& 13& 14& 15& 16& 17\\ \text{No. of students}& 3& 10& 30& 42& 15\end{array}$

  The frequency distribution above shows the ages of students in a secondary school. In a pie chart constructed to represent the data, the angles corresponding to the 15 years old is

  Options:
  A) 27^o
  B) 30^o
  C) 54^o
  D) 108^o
  Show Answer
  The correct answer is D .
• Question 1997: Find the slope of the curve y = 2x²n+ 5x - 3 at (1, 4). Options:
  A) 4
  B) 6
  C) 7
  D) 9
  Show Answer
  The correct answer is D .
• Question 1998: The first and last term of a linear sequence (AP) are 6 and 10 respectively. If the sum of the sequence is 40. Find the number of terms. Options:
  A) nth = 3
  B) nth = 4
  C) nth = 5
  D) nth = 6
  Show Answer
  The correct answer is C .
• Question 1999: Find the sum to infinity of the series
  $\frac{1}{4}$, $\frac{1}{8}$, $\frac{1}{16}$,.......... Options:
  A) $\frac{1}{2}$
  B) $\frac{3}{5}$
  C) $\frac{-1}{5}$
  D) $\frac{73}{12}$
  Show Answer
  The correct answer is A .
• Question 2000:

  A rectangle has one side that is 6 cm shorter than the other. The area of the rectangle will increase by 68 cm${}^2$ if we add 2 cm to each side of the rectangle. Find the length of the shorter side.

  Options:
  A) 15 cm
  B) 19 cm
  C) 13 cm
  D) 21 cm
  Show Answer
  The correct answer is C .