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 2761: The nth term of a sequence is given 3^{1 - n} , find the sum of the first terms of the sequence. Options:
  A) $\frac{13}{9}$
  B) 1
  C) $\frac{1}{3}$
  D) $\frac{1}{9}$
  Show Answer
  The correct answer is A .
• Question 2762:

  factorize m${}^3$ - m${}^2$ + 2m - 2

  Options:
  A) (m² + 1)(m - 2)
  B) (m - 1)(m + 1)(m + 2)
  C) (m - 2)(m + 1)(m - 1)
  D) (m² + 2)(m - 1)
  Show Answer
  The correct answer is D .
• Question 2763: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 2764: For the set of numbers 2, 3, 5, 6, 7, 7, 8 Options:
  A) The median is greater than the mode
  B) the mean is greater than the mode
  C) the mean is greater than the median
  D) the median is equal to the mean
  E) the mean is less than the median
  Show Answer
  The correct answer is E .
• Question 2765: A force of 5 units acts on a particle in the direction to the east and another force of 4 units acts on the particle in the direction north-east. The resultants of the two forces is Options:
  A) $\sqrt{3}$ units
  B) 3 units
  C) $\sqrt{41+20\sqrt{2}}$ units
  D) $\sqrt{41-20\sqrt{2}}$ units
  Show Answer
  The correct answer is C .
• Question 2766: The difference between the length and width of a rectangle is 6cm and the area is 135cm². What is the length? Options:
  A) 25cm
  B) 18cm
  C) 15cm
  D) 24cm
  E) 27cm
  Show Answer
  The correct answer is C .
• Question 2767: If log₃x² = -8, what is x? Options:
  A) $\frac{1}{3}$
  B) $\frac{1}{9}$
  C) $\frac{1}{27}$
  D) $\frac{1}{81}$
  Show Answer
  The correct answer is D .
• Question 2768: A cylinder of height h and radius r is open at one end. Its surface area is Options:
  A) 2$\pi$rh
  B) $\pi$r²h
  C) 2$\pi$rh + $\pi$r²
  D) 2$\pi$rh + 2$\pi$r²
  Show Answer
  The correct answer is C .
• Question 2769: If tan θ = 4/3, calculate sin²θ - cos²θ. Options:
  A) 16/25
  B) 24/25
  C) 7/25
  D) 9/25
  Show Answer
  The correct answer is C .
• Question 2770: The distance travelled by a particle from a fixed point is given as s = (t³ - t² - t + 5)cm. Find the minimum distance that the particle can cover from the fixed point. Options:
  A) 2.3 cm
  B) 4.0 cm
  C) 5.2 cm
  D) 6.0 cm
  Show Answer
  The correct answer is C .