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 51: Evaluate ($\frac{1}{343}$)${}^{\frac{1}{3}}$ + (64)${}^{-\frac{1}{3}}$ - $\frac{4}{9}$${}^{-\frac{1}{2}}$ Options:
  A) -$\frac{17}{36}$
  B) -$\frac{3}{28}$
  C) $\frac{13}{28}$
  D) $\frac{17}{36}$
  E) $\frac{1}{4}$
  Show Answer
  The correct answer is B .
• Question 52: From the kip of a storey-buliding, the angle of depression of a mango on a tree 20 m away from the base of the storey-building is 68°. if the mango is 4.5 m above the ground, what is the height of the storey-building to the nearest metre? Options:
  A) 55m
  B) 54m
  C) 50m
  D) 49m
  E) 45m
  Show Answer
  The correct answer is B .
• Question 53: Find the value of t if the standard deviation of 2t, 3t, 4t, 5t, and 6t is √2 Options:
  A) 1
  B) 2
  C) 3
  D) 4
  Show Answer
  The correct answer is A .
• Question 54: Obi borrows ₦10.00 at 2% per month simple interest and repays ₦8.00 after 4 months, how much does he still owe? Options:
  A) ₦10.80
  B) ₦10.65
  C) ₦2.80
  D) ₦2.67
  Show Answer
  The correct answer is C .
• Question 55:

  

  Find the length XY in the triangle above.

  Options:
  A) √7 m
  B) √6 m
  C) √5 m
  D) √3 m
  Show Answer
  The correct answer is A .
• Question 56:

  Find the 19th term of the A.P. $\frac{5}{6}$, $\frac{8}{6}$, $\frac{11}{6}$.................

  Options:
  A) 7$\frac{1}{2}$
  B) 9
  C) 9$\frac{1}{2}$
  D) 9$\frac{5}{6}$
  E) 10
  Show Answer
  The correct answer is D .
• Question 57: If 3x - $\frac{1}{4}$^{-$\frac{1}{2}$} > $\frac{1}{4}$ - x, then the interval of values of x is
  Options:
  A) x > $\frac{1}{3}$
  B) x < $\frac{1}{3}$
  C) x < $\frac{1}{4}$
  D) x < $\frac{9}{16}$
  E) x > $\frac{9}{16}$
  Show Answer
  The correct answer is E .
• Question 58: The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone Options:
  A) 7cm
  B) 22cm
  C) 28cm
  D) 49cm
  E) 154cm
  Show Answer
  The correct answer is C .
• Question 59: A cliff on the bank of a river is 300 meters high. If the angle of depression of a point on the opposite side of the river is 60^o, find the width of the river. Options:
  A) 75√3m
  B) 100√3m
  C) 200√3m
  D) 100m
  Show Answer
  The correct answer is B .
• Question 60:

  The locus of a point which moves so that it is equidistant from two intersecting straight lines is the

  Options:
  A) bisector of the two lines
  B) line parallel to the two lines
  C) angle bisector of the two lines
  D) perpendicular bisector of the two lines
  Show Answer
  The correct answer is A .