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 1191:

  

  PQRS is a cyclic quadrilateral which PQ = PS. PT is a tangent to the circle and PQ makes an angle of 50${}^{\circ }$ with the tangent as shown in the figure. What is the size of QRS?

  Options:
  A) 50${}^{\circ }$
  B) 40${}^{\circ }$
  C) 110v
  D) 80${}^{\circ }$
  E) 100${}^{\circ }$
  Show Answer
  The correct answer is E .
• Question 1192: An arc of a circle subtends an angle 70^o at the centre. If the radius of the circle is 6cm, calculate the area of the sector subtended by the given angle.($\pi$ = $\frac{22}{7}$) Options:
  A) 22cm²
  B) 44cm²
  C) 66cm²
  D) 88cm²
  Show Answer
  The correct answer is A .
• Question 1193: A school boy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank 60^o. Calculate the height of the water tank. Options:
  A) 60m
  B) 30 $\sqrt{3}$m
  C) 20 $\sqrt{3}$m
  D) 10 $\sqrt{3}$m
  Show Answer
  The correct answer is B .
• Question 1194: Find the value of x for which the function f(x) = 2x³ - x² - 4x + 4 has a maximum value Options:
  A) ²/₃
  B) 1
  C) - ²/₃
  D) - 1
  Show Answer
  The correct answer is B .
• Question 1195:

  Given that S and T are sets of real numbers such that S = {x : 0 $\le$ x $\le$ 5} and T = {x :− 2 < x < 3} Find S $\cup$ T

  Options:
  A) −3 < x < $\le$3
  B) −2< x < $\le$5
  C) 2< x < $\ge$ −5
  D) −1< x $\ge$ $\le$2
  Show Answer
  The correct answer is B .
• Question 1196: The midpoint of the segment of the line y = 4x + 3 which lies between the x-ax 1 is and the y-ax 1 is Options:
  A) ($\frac{3}{2}$, $\frac{3}{2}$)
  B) ($\frac{2}{3}$, $\frac{3}{2}$)
  C) ($\frac{3}{8}$, $\frac{3}{2}$)
  D) (-$\frac{3}{8}$, $\frac{3}{2}$)
  Show Answer
  The correct answer is D .
• Question 1197: Simplify $\frac{x^2+y^2+xy}{x+y}$ - $\frac{x^2+y^2}{x-y}$ Options:
  A) $\frac{x^2+y^2}{(x-y{)}^2}$
  B) $\frac{2y^3}{y^2-x^2}$
  C) $\frac{3x^2+y^2}{(2x-y{)}^2}$
  D) $\frac{x^2+y^2}{(x^2-y)}$
  Show Answer
  The correct answer is B .
• Question 1198: if (x - 1), (x + 1) and (x - 2) are factors of the polynomial ax³ + bx² + cx - 1, find a, b, c in that order. Options:
  A) -1/2, 1., 1/2
  B) 1/2, 1, 1/2
  C) 1/2, 1, -1/2
  D) 1/2, -1, 1/2
  Show Answer
  The correct answer is A .
• Question 1199: Find the variance of 2x, 2x-1 and 2x+1 Options:
  A) 2/3
  B) 2
  C) √(2/3)
  D) 1
  Show Answer
  The correct answer is A .
• Question 1200:

  

  In the diagram, XZ is the diameter of the circle XYZW, with centre O and radius $\frac{15}{2}$cm. If XY = 12cm, find the area of the triangle XYZ

  Options:
  A) 45cm³
  B) 27cm³
  C) 75cm³
  D) 54cm³
  Show Answer
  The correct answer is D .