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 141: The sine, cosine and tangent of 210^o are respectively Options:
  A) $\frac{1}{2}$, $\frac{\sqrt{3}}{2}$, $\frac{\sqrt{3}}{2}$
  B) $\frac{1}{2}$, $\frac{\sqrt{3}}{2}$, $\frac{\sqrt{3}}{3}$
  C) $\frac{1}{2}$, $\frac{\sqrt{3}}{2}$, $\frac{\sqrt{3}}{2}$
  D) $\frac{-1}{2}$, $\frac{\sqrt{-3}}{2}$, $\frac{\sqrt{3}}{3}$
  Show Answer
  The correct answer is D .
• Question 142: Three teachers shared a packet of chalk. The first teacher got 2/5 of the chalk and the second teacher received 2/15 of the remainder. What fraction the the third teacher receive? Options:
  A) 8/15
  B) 11/25
  C) 12/25
  D) 13/25
  Show Answer
  The correct answer is D .
• Question 143: The mean of seven numbers is 96. If an eighth number is added, the mean becomes 112. Find the eighth number. Options:
  A) 126
  B) 180
  C) 216
  D) 224
  Show Answer
  The correct answer is D .
• Question 144:

  

  In the figure, a solid consists of a hemisphere surmounted by a right circular cone, with radius 3.0cm and height 6.0cm. Find the volume of the solid

  Options:
  A) 36$\pi$cm ³
  B) 54$\pi$cm ²
  C) 18$\pi$cm ²
  D) 108$\pi$cm ²
  Show Answer
  The correct answer is A .
• Question 145: Find the derivative of $y=\frac{x^7-x^5}{x^4}$ Options:
  A) x(x²-1)
  B) 3x(x²-1)
  C) 3x²-1
  D) 7x⁶-5x⁴
  Show Answer
  The correct answer is C .
• Question 146: Solve the equations
  m² + n² = 29
  m + n = 7 Options:
  A) (2, 3) and ( 3, 5)
  B) (2, 5) and (5, 2)
  C) (5, 2) and ( 5, 3)
  D) (5, 3) and (3, 5)
  Show Answer
  The correct answer is B .
• Question 147: Two distinct sectors i the same circle substend 100^o and 30^o respectively at the centre of the circle. Their corresponding arcs are in ratio Options:
  A) 10:3
  B) 1:100
  C) 3:1
  D) 5:2
  Show Answer
  The correct answer is A .
• Question 148: If the mean of five consecutive integers is 30, find the largest of the numbers Options:
  A) 28
  B) 30
  C) 32
  D) 34
  Show Answer
  The correct answer is C .
• Question 149: Solve for x and y in the equations below
  x² - y² = 4
  x + y = 2 Options:
  A) x = 0, y = -2
  B) x = 0, y = 2
  C) x = 2, y = 0
  D) x = -2, y = 0
  Show Answer
  The correct answer is C .
• Question 150:

  

  The venn diagram above shows the numbers of students offering music and history in a class of 80 students. If a student is picked at random from the class, what is the probability that he offers Music only?

  Options:
  A) 0.38
  B) 0.13
  C) 0.50
  D) 0.25
  Show Answer
  The correct answer is D .