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 271: The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64 cm long, find the length of pendulum whose period is 9 sec Options:
  A) 96 cm
  B) 324 cm
  C) 36 cm
  D) 144 cm
  Show Answer
  The correct answer is B .
• Question 272: 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 273:

  

  In the diagram PQ is parallel to RS. What is the value of $\alpha +\beta +\gamma$

  Options:
  A) 180${}^{\circ }$
  B) 90${}^{\circ }$
  C) 360${}^{\circ }$
  D) 200${}^{\circ }$
  Show Answer
  The correct answer is C .
• Question 274:

  A crate of soft drinks contains 10 bottle of Coca-Cola 8 of Fanta and 6 of Sprite. If one bottle is selected at random, whatis the probability that it is Not a Coca-Cola bottle?

  Options:
  A) $\frac{5}{12}$
  B) $\frac{1}{3}$
  C) $\frac{3}{4}$
  D) $\frac{7}{12}$
  Show Answer
  The correct answer is D .
• Question 275: An arc subtends an angle of 30^o at the centre of a circle radius 12cm. Calculate the length of the arc. Options:
  A) 6$\pi$cm
  B) 2$\pi$cm
  C) 3$\pi$cm
  D) 9$\pi$cm
  Show Answer
  The correct answer is B .
• Question 276: 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 277:

  Evaluate 5${}^{-3}$ log${}^2$ $\times$ 2 ${}^{2\log 3}$

  Options:
  A) 8
  B) $\frac{1}{8}$
  C) 1$\frac{1}{8}$
  D) $\frac{2}{5}$
  Show Answer
  The correct answer is B .
• Question 278: The seconds term of a geometric series is 4 while the fourth term is 16. Find the sum of the first five terms Options:
  A) 60
  B) 62
  C) 54
  D) 64
  Show Answer
  The correct answer is B .
• Question 279: The binary operation $\oplus$ is defined by x $\ast$ y = xy - y - x for all real values x and y. If x $\ast$ 3 = 2$\ast$, find x Options:
  A) -1
  B) 4
  C) 1
  D) 5
  Show Answer
  The correct answer is C .
• Question 280: If ($\frac{2}{3}$)m ($\frac{3}{4}$)n = $\frac{252}{729}$, find the values of m and n Options:
  A) m = 4, n = 2
  B) m = -4, n = -2
  C) m = -4, n =2
  D) m = 4, n = -2
  E) m = -2, n = 4
  Show Answer
  The correct answer is D .