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 691: What is the circumference of latitude 0^oS if R is the radius of the earth? Options:
  A) R cos$\theta$
  B) 2$\pi$ R cos $\theta$
  C) R sin $\theta$
  D) 2$\pi$ R sin $\theta$
  Show Answer
  The correct answer is B .
• Question 692: Find the sum to infinity of the series
  $\frac{1}{4}$, $\frac{1}{8}$, $\frac{1}{16}$,.......... Options:
  A) $\frac{1}{2}$
  B) $\frac{3}{5}$
  C) $\frac{-1}{5}$
  D) $\frac{73}{12}$
  Show Answer
  The correct answer is A .
• Question 693: A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60${}^{\circ }$, find the width of the river. Options:
  A) 100m
  B) 75√3 m
  C) 100√3m
  D) 200√3m
  Show Answer
  The correct answer is C .
• Question 694: If $\frac{9^{2x-1}}{{27}^{x+1}}=1$find the value of x. Options:
  A) 8
  B) 5
  C) 3
  D) 2
  Show Answer
  The correct answer is B .
• Question 695:

  PQRS is a cyclic quadrilateral with PQ as diameter of the circle. If < PQS = 15^o, find < QRS

  Options:
  A) 75^o
  B) 37$\frac{1}{2}$^o
  C) 127$\frac{1}{2}$^o
  D) 105^o
  Show Answer
  The correct answer is D .
• Question 696: Factorize completely (4x + 3y)² - (3x - 2y)² Options:
  A) (x + 5y)(7x + y)
  B) (x + 5y)(7x - y)
  C) (x - 5y)(7x + y)
  D) (x - 5y)(7x -y)
  Show Answer
  The correct answer is A .
• Question 697: 7 pupils of average age 12 years leave a class of 25 pupils of average age 14 years. If 6 new pupils of average age of 11 years join the class, what is the average age of the pupils now in the class? Options:
  A) 13 years
  B) 12 years 7$\frac{1}{2}$ months
  C) 13 years 5 months
  D) 13 years 10 months
  E) 11 years
  Show Answer
  The correct answer is D .
• Question 698: A ship H leaves a port P and sails 30 km due south. Then it sails 50km due west. What is the bearing of H from P Options:
  A) 20^o 34'
  B) 243^o 26'
  C) 116^o 34'
  D) 63^o 26'
  E) 240^o 56'
  Show Answer
  The correct answer is B .
• Question 699: A cone is formed by bending a sector of a circle having an angle of 210^o. Find the radius of the base of the cone if the diameter of the circle is 12cm. Options:
  A) 12cm
  B) 7.00cm
  C) 1.75cm
  D) 21cm
  E) 3.50cm
  Show Answer
  The correct answer is E .
• Question 700:

  

  FG is a given straight line and H is a fixed point. The construction marks shown in the diagram indicate the

  Options:
  A) perpendicular bisector of the line
  B) perpendicular bisector of th eline JK
  C) perpendicular bisector of the line HI
  D) perpendicular from H to the line FG
  Show Answer
  The correct answer is D .