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 421: 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 422: Two perpendicular lines PQ and QR intersect at (1, -1). If the equation of PQ is x - 2y + 4 = 0, find the equation of QR Options:
  A) x + 2y - 1= -0
  B) 2x + y - 3 = 0
  C) x - 2y - 3 = 0
  D) 2x + y - 1
  Show Answer
  The correct answer is D .
• Question 423: x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2? Options:
  A) 2.5
  B) 5
  C) 6.25
  D) 6.52
  E) 7.5
  Show Answer
  The correct answer is C .
• Question 424: Simplify $\frac{1}{\sqrt{3}+2}$ in the form $a+b\sqrt{3}$ Options:
  A) 2 -√3
  B) -2 - √3
  C) 2 + √3
  D) -2 + √3
  Show Answer
  The correct answer is A .
• Question 425: If the angles of quadrilateral are (P + 10)^o(2P - 30)^o(3P + 20)^o and 4p^o, find p Options:
  A) 63
  B) 40
  C) 36
  D) 28
  Show Answer
  The correct answer is C .
• Question 426:

  

  The cumulative frequency curve represents the ages of ages of students in a school. What age group do 70% of the students belongs?

  Options:
  A) 17.5 - 20.5
  B) 16.5 - 19.5
  C) 15.5 - 19.5
  D) 15.5 - 18.5
  Show Answer
  The correct answer is A .
• Question 427: Factorize 4x² - 9y² + 20x + 25 Options:
  A) (2x -3y + 5)(2x - 3y - 5)
  B) (2x - 3y)(2x + 3y)
  C) (2x - 3y +5)(2x + 3y + 5)
  D) (2x + 5)(2x - 9y +5)
  Show Answer
  The correct answer is C .
• Question 428: Two cars X and Y start at the same point and travel towards a point P which is 150km away. If the average speed of Y is 60km per hour and x arrives at P 25 minutes earlier than Y. What is the average speed of X? Options:
  A) 51$\frac{3}{7}$km per hour
  B) 72km per hour
  C) 37$\frac{1}{2}$ km per hour
  D) 66km per hour
  E) 75km per hour
  Show Answer
  The correct answer is B .
• Question 429: Find the mean deviation of 20, 25, 21, 27, 28, 29, to the nearest whole number Options:
  A) 2
  B) 3
  C) 4
  D) 5
  E) 6
  Show Answer
  The correct answer is B .
• Question 430: 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 .