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 2261: 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 2262: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D .
• Question 2263: If sin θ = 4/5 where 0° ∠ θ ∠ 900, what is the value of cos θ + tan θ? Options:
  A) $\frac{14}{15}$
  B) $\frac{15}{29}$
  C) $\frac{13}{8}$
  D) $\frac{144}{15}$
  E) $\frac{24}{5}$
  Show Answer
  The correct answer is D .
• Question 2264: A hollow right prism of equilateral triangular base of side 4cm is filled with water up to a certain height. If a sphere of radius $\frac{1}{2}$cm is immersed in the water, then the rise of water is Options:
  A) 1cm
  B) $\sqrt{\frac{3\pi }{24}}$
  C) $\frac{\pi }{24\sqrt{3}}$
  D) 24$\sqrt{3}$
  Show Answer
  The correct answer is C .
• Question 2265: Evaluate $\frac{(0.5625{)}^2-(0.4375{)}^2}{0.04}$ Options:
  A) 0.131
  B) 3.11
  C) 3.12
  D) 3.13
  Show Answer
  The correct answer is D .
• Question 2266: The vectors a and b are given in terms of two perpendicular units vectors i and j on a plane by a = 2i - 3j, b = -i + 2j. Find the magnitude of the vector a + 3b Options:
  A) 2
  B) 4
  C) $\sqrt{10}$
  D) 35
  E) 2.2
  Show Answer
  The correct answer is C .
• Question 2267: Two perfect dice are thrown together, Determine the probability of obtaining a total score of 8 Options:
  A) $\frac{1}{12}$
  B) $\frac{5}{36}$
  C) $\frac{1}{6}$
  D) $\frac{7}{36}$
  Show Answer
  The correct answer is B .
• Question 2268: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 2269:

  A crate of soft drinks contains 10 bottle of Coca-Cola 8 of Fanta and 6 of Sprite. If one bottle is selected at random, whatis the probability that it is Not a Coca-Cola bottle?

  Options:
  A) $\frac{5}{12}$
  B) $\frac{1}{3}$
  C) $\frac{3}{4}$
  D) $\frac{7}{12}$
  Show Answer
  The correct answer is D .
• Question 2270:

  Which of the following values of the variable x, (a)x = 0, (b)x = -3, (c)x = 9, satisfy the inequalities 0 < $\frac{x+3}{x-1}$ < 2?

  Options:
  A) (a), (b), (c)
  B) (c)
  C) None of the choices
  D) All of the above
  Show Answer
  The correct answer is C .