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 11:

  

  In the figure above, KL//NM, LN bisects < KNM. If angles KLN is 54${}^{\circ }$ and angle MKN is 35${}^{\circ }$, calculate the size of angle KMN.

  Options:
  A) 91${}^{\circ }$
  B) 89${}^{\circ }$
  C) 37${}^{\circ }$
  D) 19${}^{\circ }$
  Show Answer
  The correct answer is C .
• Question 12:

  The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given.

  Mark	0	1	2	3	4	5
  Frequency	1	2	7	5	4	3

  What is the median mark?

  Options:
  A) 1
  B) 2
  C) 3
  D) 4
  Show Answer
  The correct answer is C .
• Question 13: Find the range of 4,9,6,3,2,8,10 and 11 Options:
  A) 11
  B) 9
  C) 8
  D) 4
  Show Answer
  The correct answer is B .
• Question 14:

  

  In the diagram above; O is the centre of the circle and |BD| = |DC|. If ∠DCB = 35^o, find ∠BAO.

  Options:
  A) 20^o
  B) 25^o
  C) 30^o
  D) 35^o
  E) 40^o
  Show Answer
  The correct answer is A .
• Question 15: A binary operation $\oplus$ is defines on the set of all positive integers by a $\oplus$ b = ab for all positive integers a, b. Which of the following properties does NOT hold? Options:
  A) closure
  B) identity
  C) positive
  D) inverse
  Show Answer
  The correct answer is D .
• Question 16: Solve the simultaneous linear equations: 2x + 5y = 11, 7x + 4y = 2 Options:
  A) x = -8, y = 1
  B) x = -2, y = 4
  C) x = $\frac{-34}{27}$, y = $\frac{73}{27}$
  D) x = 7, y = -9
  Show Answer
  The correct answer is C .
• Question 17: 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 18: A man drove for 4 hours at a certain speed, he then doubled his speed and drove for another 3 hours. Although he covered 600 kilometers. At what speed did he drive for the last 3 hours? Options:
  A) 120km/hr
  B) 60km/hr
  C) 670km/hr
  D) 40km/hr
  Show Answer
  The correct answer is B .
• Question 19: Evaluate ${\int }_{\frac{-\pi }{2}}^{\frac{\pi }{2}}cosxdx$ Options:
  A) zero
  B) 1
  C) 2
  D) 3
  Show Answer
  The correct answer is C .
• Question 20: If (x - 2) and (x + 1) are factors of the expression x³ + px² + qx + 1, what is the sum of p and q Options:
  A) 9
  B) -3
  C) 3
  D) $\frac{17}{3}$
  E) $\frac{2}{3}$
  Show Answer
  The correct answer is B .