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 2421: Simplify $\frac{1}{\sqrt{3}+2}$ in the form $a+b\sqrt{3}$ Options:
  A) 2 -√3
  B) -2 - √3
  C) 2 + √3
  D) -2 + √3
  Show Answer
  The correct answer is A .
• Question 2422: Find the total area of the surface of a solid cylinder whose base radius is 4cm and height is 5cm Options:
  A) 56$\pi$ cm²
  B) 72$\pi$ cm²
  C) 96$\pi$ cm²
  D) 192$\pi$ cm²
  Show Answer
  The correct answer is B .
• Question 2423:

  At what value of x is the function y = x${}^2$ - 2x -3 minimum?

  Options:
  A) 1
  B) -1
  C) -4
  D) 4
  Show Answer
  The correct answer is A .
• Question 2424:

  ⊗	k	l	m
  k	l	m	k
  l	m	k	l
  m	k	l	m

  The identity element with respect to the multiplication shown in the table above is

  Options:
  A) o
  B) m
  C) l
  D) k
  Show Answer
  The correct answer is B .
• Question 2425: 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 2426:

  

  PQRST is a regular pentagon and PQVU is a rectangle with U and V lying on TS and SR respectively as shown in the diagram. Calculate TUP

  Options:
  A) 18${}^{\circ }$
  B) 54${}^{\circ }$
  C) 90${}^{\circ }$
  D) 108${}^{\circ }$
  Show Answer
  The correct answer is B .
• Question 2427: The 4th term of an A.P. is 13 while the 10th term is 31. Find the 21st term. Options:
  A) 175
  B) 85
  C) 64
  D) 45
  Show Answer
  The correct answer is C .
• Question 2428:

  If the volume of a frustrum is given as $V=\frac{\pi h}{3}(R^2+Rr+r^2)$, find $\frac{\mathrm{d}V}{\mathrm{d}R}$.

  Options:
  A) $\frac{\pi h}{3}(2R+r)$
  B) $2R+r+\frac{\pi h}{3}$
  C) $\frac{\pi h}{3}(2R^2+r+2r)$
  D) $\frac{2R^2}{3}\pi h$
  Show Answer
  The correct answer is A .
• Question 2429: An arc of circle of radius 2cm subtends an angle of 60^o at the centre. Find the area of the sector Options:
  A) $\frac{2\pi }{3}$cm²
  B) $\frac{\pi }{2}$cm²
  C) $\frac{\pi }{3}$cm²
  D) $\pi$cm²
  Show Answer
  The correct answer is A .
• Question 2430: If k + 1; 2k - 1, 3k + 1 are three consecutive terms of a geometric progression, find the possible values of the common ratio Options:
  A) 0, 8
  B) -1, $\frac{5}{3}$
  C) 2, 3
  D) 1, -1
  Show Answer
  The correct answer is B .