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 2171: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .
• Question 2172: 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 2173: A polynomial in x whose zeros are -2, -1 and 3 is Options:
  A) x³ - 7x + 6
  B) x³ + 7x - 6
  C) x³ + 7x + 6
  D) x³ - 7x - 6
  Show Answer
  The correct answer is D .
• Question 2174: The gradient of the straight line joining the points P(5, -7) and Q(-2, -3) is Options:
  A) $\frac{1}{2}$
  B) $\frac{2}{5}$
  C) $-\frac{4}{7}$
  D) $-\frac{2}{3}$
  Show Answer
  The correct answer is C .
• Question 2175: If 3 gallons of spirit containing 20% water are added to 5 gallons of another spirit containing 15% water, what percentage of the mixture is water? Options:
  A) 2$\frac{4}{5}$%
  B) 16$\frac{7}{8}$%
  C) 18$\frac{1}{8}$%
  D) 18$\frac{7}{8}$%
  Show Answer
  The correct answer is B .
• Question 2176: If $m\ast n=(\frac{m}{n}-\frac{n}{m}$) for m, n belong to R, evaluate -3*4 Options:
  A) $\frac{-25}{12}$
  B) $\frac{-7}{12}$
  C) $\frac{7}{12}$
  D) $\frac{25}{12}$
  Show Answer
  The correct answer is C .
• Question 2177:

  

  In the figure, If PT is parallel to RS, PQ = PT, and angle SQT = 90${}^{\circ }$, find x.

  Options:
  A) 35${}^{\circ }$
  B) 50${}^{\circ }$
  C) 55${}^{\circ }$
  D) 70${}^{\circ }$
  E) 80${}^{\circ }$
  Show Answer
  The correct answer is D .
• Question 2178: If {(a²b^-3c)^3/4/a^-1b⁴c⁵} = a^pb^qc^r; what is the value of p+2q? Options:
  A) (5/2)
  B) -(5/4)
  C) -(25/4)
  D) -10
  Show Answer
  The correct answer is D .
• Question 2179: A side of a rhombus is 2cm in length. An angle of the rhombus is 60^o. What is the length of the diagonal facing this angle? Options:
  A) 2cm
  B) 8cm
  C) 4cm
  D) 2$\sqrt{3}$cm
  E) 16cm
  Show Answer
  The correct answer is D .
• Question 2180:

  If (x - a) is a factor of bx - ax + x², find the other factor.

  Options:
  A) (x + b)
  B) (x - b)
  C) (a + b)
  D) (a - b)
  Show Answer
  The correct answer is A .