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 901: In $\mathrm{\Delta }$XYZ, XY = 3cm, XZ = 5cm and YZ = 7cm. If the bisector of XYZ meets XZ at W, what is the length of XW? Options:
  A) 1.5cm
  B) 25cm
  C) 3cm
  D) 4cm
  E) None of the above
  Show Answer
  The correct answer is A .
• Question 902:

  Find the range of these fractions:

  1/6, 1/3, 3/2, 2/3, 8/9 and 4/3.

  Options:
  A) 3/4
  B) 5/6
  C) 7/6
  D) 4/3
  Show Answer
  The correct answer is D .
• Question 903: Find the minimum value of the function y = x(1+x) Options:
  A) -¹/₄
  B) -¹/₂
  C) ¹/₄
  D) ¹/₂
  Show Answer
  The correct answer is A .
• Question 904: In how many ways can 9 people be seated if 3 chairs are available Options:
  A) 720
  B) 504
  C) 336
  D) 210
  Show Answer
  The correct answer is B .
• Question 905:

  If w varies inversely as $\frac{ur}{u+r}$ and is equal to 8 when u = 2 and r = 6, find a relationship between u, v, w.

  Options:
  A) urw = 16(u + v)
  B) 16ur = 3w(u + v)
  C) urw = 12(u + v)
  D) 12urw = u + v
  Show Answer
  The correct answer is C .
• Question 906: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 907: the derivative of cosec x is Options:
  A) tan x cosec x
  B) -cot x cosec x
  C) tan x sec x
  D) -cot x sec x
  Show Answer
  The correct answer is B .
• Question 908:

  Find the equation of a line perpendicular to the line 4y = 7x + 3 which passes through (-3, 1)

  Options:
  A) 7y + 4x + 5 = 0
  B) 7y - 4x - 5 = 0
  C) 3y - 5x + 2 = 0
  D) 3y + 5x - 2 = 0
  Show Answer
  The correct answer is A .
• Question 909:

  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 .
• Question 910:

  

  In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume of the solid.

  Options:
  A) 180 πcm³
  B) 162 πcm³
  C) 216 πcm³
  D) 198 πcm³
  Show Answer
  The correct answer is D .