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 1451: Let p be a probability function on set S, where S = (a₁, a₂, a₃, a₄). Find P(a₁) if P(a₂) = $\frac{1}{3}$, p(a₃) = $\frac{1}{6}$ and p(a₄) = $\frac{1}{5}$ Options:
  A) $\frac{7}{3}$
  B) $\frac{2}{3}$
  C) $\frac{1}{3}$
  D) $\frac{3}{10}$
  Show Answer
  The correct answer is D .
• Question 1452: A steel ball of radius 1 cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder? Options:
  A) $\frac{44}{3}$$\pi$cm³
  B) 12$\pi$cm³
  C) $\frac{38}{3}$$\pi$cm³
  D) $\frac{40}{3}$$\pi$cm³
  E) $\frac{32}{33}$$\pi$cm³
  Show Answer
  The correct answer is A .
• Question 1453: The square base of a pyramid of side 3cm has height 8cm. If the pyramid is cut into two parts by a plane parallel to the base midway between the base and the vertex, the volumes of the two sections are Options:
  A) (21cm³, 3cm³)
  B) (24cm³, 3cm³)
  C) (24cm³, 21cm³)
  D) (72cm³, 9cm³)
  E) (63cm³, 9cm³)
  Show Answer
  The correct answer is B .
• Question 1454: Simplify $\frac{1-x^2}{x-x^2}$, where x $\ne$ 0 Options:
  A) $\frac{1}{x}$
  B) $\frac{1-x}{x}$
  C) $\frac{1+x}{x}$
  D) $\frac{1}{x-1}$
  E) $\frac{-x-1}{1}$
  Show Answer
  The correct answer is C .
• Question 1455: If f(x - 2) = 4x² + x + 7, find f(1) Options:
  A) 12
  B) 27
  C) 7
  D) 46
  E) 17
  Show Answer
  The correct answer is D .
• Question 1456: The midpoint of P(x, y) and Q(8, 6). Find x and y. midpoint = (5, 8) Options:
  A) (2, 10)
  B) (2, 8)
  C) (2, 12)
  D) (2, 6)
  Show Answer
  The correct answer is A .
• Question 1457: The cost of production of an article is made up as follows: Labour ₦70, Power ₦15, Materials ₦30, Miscellaneous ₦5. Find the angle of the sector representing Labour in a pie chart Options:
  A) 210^o
  B) 105^o
  C) 105^o
  D) 175^o
  E) 90^o
  Show Answer
  The correct answer is A .
• Question 1458: If p : q = $\frac{2}{3}$ : $\frac{5}{6}$ and q : r = $\frac{3}{4}$ : $\frac{1}{2}$, find p : q : r Options:
  A) 12 : 15 : 10
  B) 12 : 15 : 16
  C) 10 : 15 : 24
  D) 9 : 10 : 15
  Show Answer
  The correct answer is A .
• Question 1459: What is the solution of $\frac{x-5}{x+3}<-1$? Options:
  A) -3 < x < 1
  B) x 1
  C) -3 < x < 5
  D) x 5
  Show Answer
  The correct answer is A .
• Question 1460: Find the mean of 10, 8, 5, 11, 12, 9, 6, 3, 15, and 23. Options:
  A) 11.2
  B) 10
  C) 10.2
  D) 11.3
  Show Answer
  The correct answer is C .