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 111: A man is standing in the corridor of a 10-storey building and looking down at a tall tree in front of the building. He sees the top of the tree at angle of depression of 30^o. If the tree is 200m tall and the man's eyes are 300m above the ground, calculate the angle of depression of the foot tree as seen by the man Options:
  A) 30^o
  B) 60^o
  C) 45^o
  D) 25^o
  Show Answer
  The correct answer is B .
• Question 112: A man bought a second-hand photocopying machine for N34,000. He serviced is at a cost od N2,000 and then sold it i profit of 15%. What was the selling price? Options:
  A) N37,550
  B) N40,400
  C) N41,400
  D) N42,400
  Show Answer
  The correct answer is C .
• Question 113: Solve the system of equations: $2^{x+y}=32,3^{3y-x}=27$ Options:
  A) (3, 2)
  B) (-3, 2)
  C) (3, -2)
  D) (-3, -2)
  E) (2, 2)
  Show Answer
  The correct answer is A .
• Question 114: Solve x² − 2x − 3 = 0 Options:
  A) x = 2 or 1
  B) x = 3 or -1
  C) x = 1 or 0
  D) x = 1 or 2
  Show Answer
  The correct answer is B .
• Question 115:
  

  Calculate, correct to three significant figures, the length AB in the diagram above.

  Options:
  A) 36.4 cm
  B) 36.1 cm
  C) 36.2 cm
  D) 36.3 cm
  Show Answer
  The correct answer is C .
• Question 116: The midpoint of the segment of the line y = 4x + 3 which lies between the x-ax 1 is and the y-ax 1 is Options:
  A) ($\frac{3}{2}$, $\frac{3}{2}$)
  B) ($\frac{2}{3}$, $\frac{3}{2}$)
  C) ($\frac{3}{8}$, $\frac{3}{2}$)
  D) (-$\frac{3}{8}$, $\frac{3}{2}$)
  Show Answer
  The correct answer is D .
• Question 117:

  Evaluate ${\int }_0^{1}4x-6\sqrt[3]{x^2}dx$

  Options:
  A) - $\frac{5}{8}$
  B) - $\frac{8}{5}$
  C) $\frac{8}{5}$
  D) $\frac{5}{8}$
  Show Answer
  The correct answer is B .
• Question 118: Evaluate (2.813 x 10^-3 x 1.063) (5.637 x 10^-2) Options:
  A) 0.056
  B) 0.055
  C) 0.054
  D) 0.54
  Show Answer
  The correct answer is B .
• Question 119: A stone Q is tied to a point P vertically above Q by an inelastic string of length 2 meters. How high does the stone rise when the string is inclined at an angle 60^o to the vertical? Options:
  A) It does not rise
  B) 2$\sqrt{3}$ meters
  C) 3 meters
  D) 1 meters
  E) 3
  Show Answer
  The correct answer is D .
• Question 120: If $x–1$ and $x+1$ are both factors of the equation $x^3+p{x}^2+qx+6=0$, evaluate $p$ and $q$ Options:
  A) 6, -1
  B) 6, 1
  C) 1, -1
  D) 6, -6
  E) -6, -1
  Show Answer
  The correct answer is E .