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 1131: Simplify $\frac{(\surd 12-\surd 3)}{(\surd 12+\surd 3)}$ Options:
  A) zero
  B) 1/3
  C) 3/5
  D) 1
  Show Answer
  The correct answer is B .
• Question 1132:

  A sector of a circle has an area of 55 cm². If the radius of the circle is 10 cm, calculate the angle of the sector. [π = 22/7]

  Options:
  A) 45${}^{\circ }$
  B) 63${}^{\circ }$
  C) 75${}^{\circ }$
  D) 90${}^{\circ }$
  Show Answer
  The correct answer is B .
• Question 1133: x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2? Options:
  A) 2.5
  B) 5
  C) 6.25
  D) 6.52
  E) 7.5
  Show Answer
  The correct answer is C .
• Question 1134:

  Find the missing numerator $\frac{5}{x+1}$ - $\frac{3}{1-x}$ - $\frac{7x-1}{x^2-1}$ = x + 1

  Options:
  A) -1
  B) x - 1
  C) $\frac{3(1-5x)}{x-1}$
  D) $\frac{1}{(x+1)}$
  E) 3(1 - 5x)
  Show Answer
  The correct answer is D .
• Question 1135:

  

  The shaded area in the diagram above is represented by

  Options:
  A) {(x, y) : y + 3x < 6}
  B) {(x , y) : y + 3x < -6}
  C) {(x, y) : y - 3x < 6}
  D) {(x, y) : y - 3x < 6}
  E) {x, y) : y - 3x < -6}
  Show Answer
  The correct answer is A .
• Question 1136: A solid sphere of radius 4cm has a mass of 64kg. What will be the mass of a shell of the same metal whose internal and external radii are 2cm and 3cm respectively? Options:
  A) 5kg
  B) 16kg
  C) 19kg
  D) 6kg
  Show Answer
  The correct answer is A .
• Question 1137: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D .
• Question 1138: Find the value of x for which the function y = x³ - x has a minimum value. Options:
  A) $-\sqrt{3}$
  B) $-\sqrt{\frac{3}{3}}$
  C) $\sqrt{\frac{3}{3}}$
  D) $\sqrt{3}$
  Show Answer
  The correct answer is C .
• Question 1139: The difference between the length and width of a rectangle is 6cm and the area is 135cm${}^2$. What is the length? Options:
  A) 25cm
  B) 18cm
  C) 15cm
  D) 24cm
  E) 27cm
  Show Answer
  The correct answer is C .
• Question 1140: Convert 241 in base 5 to base 8, Options:
  A) 71₈
  B) 107₈
  C) 176₈
  D) 241₈
  Show Answer
  The correct answer is B .