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 1711: If tan $\theta$ = $\frac{m^2-n^2}{2mn}$ find sec$\theta$ Options:
  A) $\frac{m^2+n^2}{(m^2-n^2)}$
  B) $\frac{m^2+n^2}{2mn}$
  C) $\frac{mn}{2(m^2+n^2)}$
  D) $\frac{m^2{n}^2}{2(m^2-n^2)}$
  Show Answer
  The correct answer is B .
• Question 1712: 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 1713: Simplify (216$\frac{1}{3}$)^-2 Options:
  A) $\frac{1}{36}$
  B) $\frac{1}{18}$
  C) $\frac{1}{13}$
  D) $\frac{1}{6}$
  E) $\frac{1}{3}$
  Show Answer
  The correct answer is A .
• Question 1714: If an investor invest ₦450,000 in a certain organization in order to yield X as a return of ₦25,000. Find the return on an investment of ₦700,000 by Y in the same organization. Options:
  A) ₦14,950.50K
  B) ₦25,150.30K
  C) ₦15,000.00K
  D) ₦38,888.90K
  Show Answer
  The correct answer is D .
• Question 1715: 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 1716: Find the value of P if the line joining (P, 4) and (6, -2) is perpendicular to the line joining (2, P) and (-1, 3). Options:
  A) 4
  B) 6
  C) 3
  D) zero
  Show Answer
  The correct answer is D .
• Question 1717:

  

  In the figure, PS = 7cm and RY = 9cm. IF the area of parallelogram PQRS is 56cm². Find the area of trapezium PQTS

  Options:
  A) 56cm²
  B) 112cm²
  C) 120cm²
  D) 176cm²
  Show Answer
  The correct answer is C .
• Question 1718:

  

  In the diagram, STUV is a straight line. < TSY = < UXY = 40^o and < VUW = 110^o. Calculate < TYW

  Options:
  A) 150^o
  B) 140^o
  C) 130^o
  D) 120^o
  Show Answer
  The correct answer is A .
• Question 1719: If log₅20 = x, find x Options:
  A) 1.761
  B) 1.354
  C) 1.861
  D) 2.549
  Show Answer
  The correct answer is C .
• Question 1720: The perpendicular bisector of a line XY is the locus of a point B. whose distance from Y is always twice its distance from X. C Options:
  A) whose distance from X is always twice its distance from Y
  B) whose distance from Y is always twice its distance from X.
  C) which moves on the line XY
  D) which is equidistant from the points X and y
  Show Answer
  The correct answer is D .