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 1341: Factory P produces 20,000 bags of cement per day while factory Q produces 15,000 bags per day. If P reduces production by 5% and Q increases production by 5%, determine the effective loss in the number of bags produced per day by the two factories Options:
  A) 250
  B) 750
  C) 1000
  D) 1250
  Show Answer
  The correct answer is A .
• Question 1342: Differentiate $\frac{x}{cosx}$ with respect to x Options:
  A) 1 + x sec x tan x
  B) 1 + sec² x
  C) cos x + x tan x
  D) x sec x tan x + secx
  Show Answer
  The correct answer is D .
• Question 1343: Find the equation of the locus of a point P(x,y) which is equidistant from Q(0,0) and R(2,1). Options:
  A) 4x + 2y = 5
  B) 4x - 2y = 5
  C) 2x + 2y = 5
  D) 2x + y = 5
  Show Answer
  The correct answer is A .
• Question 1344: Differentiate (cos θ - sin θ)² Options:
  A) -2 cos 2θ
  B) -2 sin2θ
  C) 1 - 2 cos 2θ
  D) 1 - 2 sin 2θ
  Show Answer
  The correct answer is A .
• Question 1345: The H.C.F. of a²bx + ab²x and a²b - b² is Options:
  A) b
  B) a + b
  C) b(a $÷$ b)
  D) abx(a² - b²)
  Show Answer
  The correct answer is B .
• Question 1346: The value of $(0.303{)}^3-(0.02{)}^3$ is Options:
  A) 0.019
  B) 0.0019
  C) 0.00019
  D) 0.000019
  E) 0.0278
  Show Answer
  The correct answer is E .
• Question 1347: A student has 5 courses to take from Mathematics and physics. There are 4 courses in Mathematics and 3 in Physics which he can choose his courses so that he takes exactly two courses in Physics? Options:
  A) 48
  B) 12
  C) 10
  D) 7
  Show Answer
  The correct answer is B .
• Question 1348: Factorize completely 81a⁴ - 16b⁴ Options:
  A) (3a + 2b)(2a - 3b)(9a² + 4b²)
  B) (3a - 2b)(2a - 3b)(4a² - 9b²)
  C) (3a - 2b)(3a - 2b)(9a² - 4b²)
  D) (6a - 2b)(8a - 3b)(4a³ - 9b²)
  Show Answer
  The correct answer is C .
• Question 1349:

  Simplify $(\sqrt[3]{64a^3}{)}^{-1}$

  Options:
  A) 4a
  B) 1/8a
  C) 8a
  D) 1/4a
  Show Answer
  The correct answer is D .
• Question 1350: x is directly proportional to y and inversely proportional to z. If x = 9 when y = 24 and z = 8, what is the value of x when y = 5 and z = 6? Options:
  A) $\frac{5}{6}$
  B) 11
  C) 3$\frac{3}{5}$
  D) 2$\frac{1}{2}$
  E) 1$\frac{1}{5}$
  Show Answer
  The correct answer is D .