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 81: Find the value of α² + β² if α + β = 2 and the distance between points (1, α) and (β, 1)is 3 units Options:
  A) 14
  B) 3
  C) 5
  D) 11
  Show Answer
  The correct answer is D .
• Question 82: A straight line makes an angle of 30° with the positive x-axis and cuts the y-axis at y = 5. Find the equation of the straight line. Options:
  A) y = (x/10) + 5
  B) y = x + 5
  C) √3y = - x + 5√3
  D) √3y = x + 5√3
  Show Answer
  The correct answer is D .
• Question 83: In a town of 6250 inhabitants, there were 62 births during 1984. Find the percentage birth rate. Options:
  A) 3%
  B) 1.0%
  C) 2.5%
  D) 5.40%
  Show Answer
  The correct answer is B .
• Question 84: Find the value of X if $\frac{\sqrt{2}}{x+\sqrt{2}}=\frac{1}{x-\sqrt{2}}$ Options:
  A) 3√2+4
  B) 3√2-4
  C) 3-2√2
  D) 4+2√2
  Show Answer
  The correct answer is A .
• Question 85:

  

  In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume of the solid.

  Options:
  A) 180 πcm³
  B) 162 πcm³
  C) 216 πcm³
  D) 198 πcm³
  Show Answer
  The correct answer is D .
• Question 86: Find the integral values of x and y satisfying the inequality 3y + 5x $\le$ 15, given that y > 0, y < 3 and x > 0. Options:
  A) (1,1), (1,2), (1,3)
  B) (1,1), (2,1), (1,3)
  C) (1,1), (3,1), (2,2)
  D) (1,1), (1,2), (2,1)
  Show Answer
  The correct answer is D .
• Question 87:

  The table below gives the scores of a group of students in a Mathematical test.

  $\begin{array}{ccccccccc}Scores& 1& 2& 3& 4& 5& 6& 7& 8\\ Frequency& 2& 4& 7& 14& 12& 6& 4& 1\end{array}$

  If the mode in m and the number of students who scored 4 or less is s. What is (s, m)?

  Options:
  A) (27, 4)
  B) (14,4)
  C) (13,4)
  D) (4,4)
  Show Answer
  The correct answer is A .
• Question 88: Find the gradient of a line which is perpendicular to the line with the equation 3x + 2y + 1 = 0 Options:
  A) $\frac{2}{3}$
  B) -$\frac{2}{3}$
  C) -$\frac{3}{2}$
  D) $\frac{4}{3}$
  Show Answer
  The correct answer is C .
• Question 89:

  $\frac{d}{dx}[\log (4x^3-2x)]$ is equal to

  Options:
  A) $\frac{12x-2}{4x^2}$
  B) $\frac{43x^2-2x}{7x}$
  C) $\frac{4x^2-2}{7x+6}$
  D) $\frac{12x^2-2}{4x^3-2x}$
  Show Answer
  The correct answer is D .
• Question 90: If y = (1 - 2x)², find the value of dy/dx at x = -1 Options:
  A) 57
  B) 27
  C) -6
  D) -54
  Show Answer
  The correct answer is D .