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 1151: 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 1152: 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 1153: Seven years ago, the age of a father was three times than that of his son, but in six years time the age of the son will be half that of his father, representing the present ages of the father and so by x and y, respectively, the two equations relating x and y are Options:
  A) 3y - x = 0; 2y - x = 0
  B) 3y - x = 14; x - 2y = 6
  C) 3y - x =7; x - 2y = 6
  D) 3y - x = 14; y - 2x = 6
  E) x + 3y = 7; x = 2y = 12
  Show Answer
  The correct answer is B .
• Question 1154: A bag contains 5 blacks balls and 3 red balls. Two balls are picked at random without replacement. What is the probability that a black and red balls are picked? Options:
  A) 15/28
  B) 13/28
  C) 5/14
  D) 3/14
  Show Answer
  The correct answer is A .
• Question 1155:

  

  Triangle SPT is the solution of the linear inequalities

  Options:
  A) 2y - x - 2 $\le$ 0, y + 2x + 2 $\ge$ 0, x $\ge$ 0
  B) 2y - x - 2 $\ge$ 0, y + 2x + 2 $\le$ 0, -2 $\ge$ x $\ge$ -1
  C) -2 $\ge$ x $\ge$ 2, y $\le$ 0, y + 2x + 2 $\ge$ 0, x $\ge$ 0
  D) 2y - x - 2 $\ge$ 0, y + 2x + 2 $\ge$ 0, y $\le$ 0, x $\ge$ 0
  Show Answer
  The correct answer is C .
• Question 1156:

  

  If PST is a straight line and PQ = QS = SR in the diagram, find y.

  Options:
  A) 24${}^{\circ }$
  B) 48${}^{\circ }$
  C) 72${}^{\circ }$
  D) 84${}^{\circ }$
  Show Answer
  The correct answer is A .
• Question 1157: Two distinct sectors i the same circle substend 100^o and 30^o respectively at the centre of the circle. Their corresponding arcs are in ratio Options:
  A) 10:3
  B) 1:100
  C) 3:1
  D) 5:2
  Show Answer
  The correct answer is A .
• Question 1158: The solutions of x² - 2x - 1 = 0 are the points of intersection of two graphs. if one of the graphs is y = 2 + x - x², find the second graph Options:
  A) y = 1 - x
  B) y = 1 + x
  C) y = x - 1
  D) y = 3x + 3
  Show Answer
  The correct answer is A .
• Question 1159:

  

  In the diagram above are two concentric circles of radii r and R respectively with center O. If r = ²/₃R, express the area of the shaded portion in terms of π and R

  Options:
  A) ²¹/₂₅πR²
  B) ⁹/₂₅πR²
  C) ²¹/₂₃πR²
  D) ⁵/₉πR²
  Show Answer
  The correct answer is D .
• Question 1160: 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 .