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 791: In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither? Options:
  A) 1
  B) 2
  C) 3
  D) 4
  Show Answer
  The correct answer is A .
• Question 792: Simplify 27${}^{-\frac{1}{3}}$ $\times$ 64${}^{-\frac{1}{3}}$ $\times$ 4${}^{\frac{1}{3}}$ Options:
  A) 48
  B) 12
  C) $\frac{4}{3}$
  D) $\frac{1}{12}$
  E) $\frac{1}{48}$
  Show Answer
  The correct answer is D .
• Question 793: 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 794:

  The angle of elevation and depression of the top and bottom of another building, measured from the top of a 24 m tall building, is 30° and 60°, respectively. Determine the second building's height.

  Options:
  A) 24 m
  B) 32√3 m
  C) 24√3
  D) 32 m
  Show Answer
  The correct answer is D .
• Question 795: Simplify $\frac{lo{g}_{10}8}{lo{g}_{10}4}$ Options:
  A) log10²
  B) log10⁴
  C) $\frac{3}{2}$
  D) 2
  E) None of the above
  Show Answer
  The correct answer is C .
• Question 796: 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 797: If three angles of a quadrilateral are (3y - x - z)^o, 3x^o, (2z - 2y - x)^o find the fourth angle in terms of x, y and z Options:
  A) (360 - x- y - z)^o
  B) (360 + x + y - z)^o
  C) (180 - x + y + z)^o
  D) (180 - x + y + z)^o
  Show Answer
  The correct answer is A .
• Question 798: If sin $\theta$ = cos $\theta$, find $\theta$ between 0^o and 360^o Options:
  A) 45^o, 225^o
  B) 135^o, 315^o
  C) 45^o, 315^o
  D) 135^o, 225^o
  Show Answer
  The correct answer is C .
• Question 799: PQRS is a cyclic quadrilateral. If ∠QPS = 75^o, what is the size of ∠QRS? Options:
  A) 180^o
  B) 150^o
  C) 105^o
  D) 75^o
  Show Answer
  The correct answer is C .
• Question 800: If the 7th term of an AP is twice the third term and the sum of the first four terms is 42, find the common difference. Options:
  A) 6
  B) 3
  C) 2
  D) 1
  Show Answer
  The correct answer is B .