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 1441: An arc of a circle of radius 6cm is 8cm long. Find the area of the sector Options:
  A) 5$\frac{1}{3}$cm²
  B) 24cm²
  C) 36cm²
  D) 84cm²
  Show Answer
  The correct answer is B .
• Question 1442: What is the probability that a number chosen at random from the intergers between 1 and 10 inclusive is either a prime or a multiple of 3? Options:
  A) $\frac{7}{10}$
  B) $\frac{3}{5}$
  C) $\frac{4}{5}$
  D) $\frac{3}{10}$
  Show Answer
  The correct answer is B .
• Question 1443:

  If x = {n²+1:n is a positive integer and 1 $\le$ n $\le$ 5}, y = {5n:n is a positive integer and 1 $\le$ n $\le$ 5}, find x $\cap$ y.

  Options:
  A) {5,10}
  B) {5, 10, 15}
  C) {2, 5, 10}
  D) {5, 10, 15, 20}
  Show Answer
  The correct answer is A .
• Question 1444: A bowl is designed by revolving completely the area enclosed by y = x² - 1, y = 3 and x ≥ 0 around the axis. What is the volume of this bowl? Options:
  A) 7π cubic units
  B) 15π/2 cubic units
  C) 8π cubic units
  D) 17π/2 cubic units
  Show Answer
  The correct answer is B .
• Question 1445:
  

  Find the volume of the cylinder above
  [Take $\pi {=}^{22}{/}_7$]

  Options:
  A) 9,856 cm${}^3$
  B) 14,784 cm${}^3$
  C) 4,928 cm${}^3$
  D) 19,712 cm${}^3$
  Show Answer
  The correct answer is B .
• Question 1446:

  If the binary operation $\ast$ is defined by m $\ast$ n = mn + m + n for any real number m and n, find the identity of the elements under this operation

  Options:
  A) e = 1
  B) e = -1
  C) e = -2
  D) e = 0
  Show Answer
  The correct answer is D .
• Question 1447: if P = {x : x is odd, $-1<x\le 20$} and Q is {y:y is prime, $-2<y\le 25$, find P $\cap$ Q. Options:
  A) {3,5,7,11,17,19}
  B) {3,5,11,13,17,19}
  C) {3,5,7,11,13,17,19}
  D) {2,3,5,7,11,13,17,19}
  Show Answer
  The correct answer is C .
• Question 1448: If the population of a town was 240,000 in January 1998 and it increased by 2% each year, what would be the population of the town in January, 2000? Options:
  A) 480,000
  B) 249,696
  C) 249,600
  D) 244,800
  Show Answer
  The correct answer is B .
• Question 1449: Factorize completely (x² + x)² - (2x + 2)² Options:
  A) (x + 1)(x + 2)(x - 2)
  B) (x + 1) 2(x + 2) (x - 2)
  C) (x + 1)² (x + 2)²
  D) (x + 1)² (x + 2)(x - 2)
  Show Answer
  The correct answer is D .
• Question 1450:

  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 .