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 151: If y = x cosx, find $\frac{dy}{dx}$. Options:
  A) cos x - x sinx
  B) sinx - x cosx
  C) sin x + x cosx
  D) cosx + x sin x
  Show Answer
  The correct answer is A .
• Question 152: Calculate the length of an arc of a circle of diameter 14cm, which subtends an angle of 90^o at the centre of the circle Options:
  A) 14$\pi$ cm
  B) 7$\pi$ cm
  C) 5$\pi$ cm
  D) 4$\pi$ cm
  Show Answer
  The correct answer is D .
• Question 153: What factor is common to all the expressions x² - x, 2x² + x - 1 and x² - 1? Options:
  A) x
  B) x + 1
  C) x - 1
  D) No common factor
  E) (2x - 1)
  Show Answer
  The correct answer is D .
• Question 154: Rationalize $\frac{5\sqrt{7}-7\sqrt{5}}{\sqrt{7}-\sqrt{5}}$ Options:
  A) -2 \sqrt{35}\)
  B) 4\sqrt{7}\) - 6$\sqrt{5}$
  C) -$\sqrt{35}$
  D) 4\sqrt{7}\) - 8$\sqrt{5}$
  E) $\sqrt{35}$
  Show Answer
  The correct answer is C .
• Question 155: The 4th term of an A.P. is 13 while the 10th term is 31. Find the 21st term. Options:
  A) 175
  B) 85
  C) 64
  D) 45
  Show Answer
  The correct answer is C .
• Question 156:

  

  The angles marked in the figure are measured in degrees. Find x.

  Options:
  A) 45${}^{\circ }$
  B) 90${}^{\circ }$
  C) 60${}^{\circ }$
  D) 15${}^{\circ }$
  E) 30${}^{\circ }$
  Show Answer
  The correct answer is E .
• Question 157:

  Divide 1101001${}_{two}$ by 101${}_{two}$

  Options:
  A) 11101${}_{two}$
  B) 111${}_{two}$
  C) 10111${}_{two}$
  D) 10101${}_{two}$
  Show Answer
  The correct answer is D .
• Question 158: Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60^o. Options:
  A) (12 + 4$\pi$)cm
  B) (24 + 4$\pi$)cm
  C) (12 + 6$\pi$)cm
  D) (24 + 6$\pi$)cm
  Show Answer
  The correct answer is B .
• Question 159: The factors of 9 - (x² - 3x - 1)² are Options:
  A) -(x - 4)(x + 1) (x - 1)(x - 2)
  B) (x - 4)(x - 2) (x - 1)(x + 1)
  C) -(x - 2)(x + 1) (x - 2) (x - 1)
  D) (x - 2)(x + 2) (x - 1)(x + 1)
  Show Answer
  The correct answer is A .
• Question 160: Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 10, 9, 7, 10, 6, 5 Options:
  A) 16
  B) 14
  C) 12
  D) 10
  Show Answer
  The correct answer is A .