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 2501:

  Tossing a coin and rolling a die are two separate events. What is the probability of obtaining a tail on the coin and an even number on the die?

  Options:
  A) $\frac{1}{16}$
  B) $\frac{1}{6}$
  C) $\frac{1}{4}$
  D) $\frac{3}{8}$
  Show Answer
  The correct answer is C .
• Question 2502: A binary operation * is defined on the set of positive integers is such x*y = 2x-3y+2 for all positive integers x and y. The binary operation is Options:
  A) commutative and close on the set of positive integers
  B) neither commutative nor closed on the set of ppositive integers
  C) commutative but not closed on the set of positive integers
  D) not cummutative but closed on the set of positive integers
  Show Answer
  The correct answer is B .
• Question 2503: 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 2504:

  Score (x)	0	1	2	3	4	5	6
  Freq (f)	5	7	3	7	11	6	7

  Find the variance

  Options:
  A) 3.42
  B) 4.69
  C) 4.85
  D) 3.72
  Show Answer
  The correct answer is D .
• Question 2505: A trader realizes 10x - x² naira profit from the sale of x bags on corn. How many bags will give him the desired profit? Options:
  A) 4
  B) 5
  C) 6
  D) 7
  Show Answer
  The correct answer is B .
• Question 2506:

  Mr Adu spends his annual salary on food(f), rent(r), car maintenance, gifts(g), savings(s) and some miscellaneous (m) as indicate in the table below:

  F	R	C	G	S	M
  28%	15%	20%	14%	10%	13%

  If the above information is represented on a pie chart. What angle represents his spending on food?

  Options:
  A) 108.5
  B) 100.8
  C) 98.8
  D) 120.5
  Show Answer
  The correct answer is B .
• Question 2507: Find the distance between two towns p(45^o N, 30^oW) and Q(15^oS, 30^oW) if the radius of the earth is 7000km. [$\pi =\frac{22}{7}$] Options:
  A) $\frac{1100}{3}$km
  B) $\frac{2200}{3}$km
  C) $\frac{22000}{3}$km
  D) $\frac{1100}{3}$km
  Show Answer
  The correct answer is C .
• Question 2508:

  If sin $\theta$ = $\frac{x}{y}$ and 0^o < 90^o, then find $\frac{1}{tan\theta }$.

  Options:
  A) $\frac{x}{\sqrt{y^2-x^2}}$
  B) $\frac{y}{x}$
  C) $\frac{\sqrt{y^2+x^2}}{y^2-x^2}$
  D) $\frac{y^2-x^2}{x}$
  Show Answer
  The correct answer is D .
• Question 2509: Solve the system of equation 2^{x + y} = 32, 3^{3y - x} = 27 Options:
  A) (3, 2)
  B) (-3, 2)
  C) (3, -2)
  D) (-3, -2)
  E) (2, 2)
  Show Answer
  The correct answer is A .
• Question 2510: If p : q = $\frac{2}{3}$ : $\frac{5}{6}$ and q : r = $\frac{3}{4}$ : $\frac{1}{2}$, find p : q : r Options:
  A) 12 : 15 : 10
  B) 12 : 15 : 16
  C) 10 : 15 : 24
  D) 9 : 10 : 15
  Show Answer
  The correct answer is A .