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 1041: The sum of the first n terms of an arithmetic progresssion is 252. If the first term is -16 and the last term is 72, find the number of terms in the series Options:
  A) 6
  B) 7
  C) 8
  D) 9
  Show Answer
  The correct answer is D .
• Question 1042: A farmer planted 5000 grains of maize and harvested 5000 cobs, each bearing 500 grains. What is the ratio of the number of grains sowed to the number harvested? Options:
  A) 1 : 250 000
  B) 1 : 25 000
  C) 1 : 500
  D) 1 : 5 000
  Show Answer
  The correct answer is C .
• Question 1043: Factorize 9p² - q² + 6qr - 9r² Options:
  A) (3p - 3q + r)(3p - q - 3r)
  B) (6p - 3q - 3r)(3p - q - 4r)
  C) (3p - q + 3r)(3p - q - 3r)
  D) (3q - p + 3r)(3q - p + 3r)
  Show Answer
  The correct answer is C .
• Question 1044:

  A surveyor walks 500m up a hill which slopes at an angle of 30${}^o$. Calculate the vertical height through which he rises

  Options:
  A) 252m
  B) 500m
  C) 250m
  D) 255m
  Show Answer
  The correct answer is C .
• Question 1045:
  

  Which inequality describes the graph above?

  Options:
  A) $4y+5x\ge 20$
  B) $5y+4x\le 20$
  C) $4y+5x\le 20$
  D) $5y+4x\ge 20$
  Show Answer
  The correct answer is B .
• Question 1046:

  Find the distance between the points (-2, -3) and (-2, 4).

  Options:
  A) 3.0m
  B) 2.4m
  C) 3.2m
  D) 7.0m
  Show Answer
  The correct answer is D .
• Question 1047:

  

  In the diagram, angle QPR = 90${}^{\circ }$, angle PSR = 90${}^{\circ }$ and PR = 5 units. Find the length of QS.

  Options:
  A) 5 tan 25${}^{\circ }$ sin 65${}^{\circ }$
  B) 5 cos 25${}^{\circ }$ sin 65${}^{\circ }$
  C) 5 tan 25${}^{\circ }$ cos 65${}^{\circ }$
  D) cos 25${}^{\circ }$ cos 65${}^{\circ }$
  E) 5 cosec 25${}^{\circ }$
  Show Answer
  The correct answer is C .
• Question 1048: Solve for the equation $\sqrt{x}$ - $\sqrt{(x-2)}$ - 1 = 0 Options:
  A) $\frac{3}{2}$
  B) $\frac{2}{3}$
  C) $\frac{4}{9}$
  D) $\frac{9}{4}$
  Show Answer
  The correct answer is D .
• Question 1049:

  If 2x${}^2$ + x - 3 divides x - 2, find the remainder.

  Options:
  A) 7
  B) 3
  C) 5
  D) 6
  Show Answer
  The correct answer is A .
• Question 1050: Factorize x² + 2a + ax + 2x Options:
  A) (x + 2a)(x + 1)
  B) (x + 2a)(x - 1)
  C) (x² - 1)(x - a)
  D) (x + 2)(x + a)
  Show Answer
  The correct answer is D .