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 41:

  A binary operation x is defined by a x b = a${}^b$. If a x 2 = 2 - a, find the possible values of a?

  Options:
  A) 1, -2
  B) 2, -1
  C) 2, -2
  D) 1, -1
  Show Answer
  The correct answer is A .
• Question 42:

  Evaluate 5${}^{-3}$ log${}^2$ $\times$ 2 ${}^{2\log 3}$

  Options:
  A) 8
  B) $\frac{1}{8}$
  C) 1$\frac{1}{8}$
  D) $\frac{2}{5}$
  Show Answer
  The correct answer is B .
• Question 43: If a u² - 3v² and b = 2uv + v² evaluate (2a - b)(a - b²), when u = 1 and v = -1 Options:
  A) 9
  B) 15
  C) 27
  D) 33
  Show Answer
  The correct answer is A .
• Question 44: Simplify 213₄ x 23₄ Options:
  A) 10311₄
  B) 10321₄
  C) 12231₄
  D) 13211₄
  Show Answer
  The correct answer is C .
• Question 45:

  

  From the venn diagram above, the complement of the set P$\cap$Q is given by

  Options:
  A) {a, b, d, e}
  B) {b, d}
  C) {a, e}
  D) {c}
  Show Answer
  The correct answer is D .
• Question 46:

  A car travels from calabar to Enugu, a distance of P km with an average speed of U km per hour and continues to benin, a distance of Q km, with an average speed of Wkm per hour. Find its average speed from Calabar to Benin

  Options:
  A) $\frac{(p+q)}{pw+qu}$
  B) $\frac{uw(p+q)}{pw+qu}$
  C) $\frac{uw(p+q)}{pw}$
  D) $\frac{uw}{pw+qu}$
  Show Answer
  The correct answer is B .
• Question 47: Find the equation of the set of points which are equidistant from the parallel lines x = 1 and x = 7 Options:
  A) y = 3
  B) x = 3
  C) x = 4
  D) y = 4
  Show Answer
  The correct answer is C .
• Question 48:

  

  Triangle SPT is the solution of the linear inequalities

  Options:
  A) 2y - x - 2 $\le$ 0, y + 2x + 2 $\ge$ 0, x $\ge$ 0
  B) 2y - x - 2 $\ge$ 0, y + 2x + 2 $\le$ 0, -2 $\ge$ x $\ge$ -1
  C) -2 $\ge$ x $\ge$ 2, y $\le$ 0, y + 2x + 2 $\ge$ 0, x $\ge$ 0
  D) 2y - x - 2 $\ge$ 0, y + 2x + 2 $\ge$ 0, y $\le$ 0, x $\ge$ 0
  Show Answer
  The correct answer is C .
• Question 49: Simplify 1 - ($\frac{1}{7}$ x 3 $\frac{1}{2}$) $÷$ $\frac{3}{4}$ Options:
  A) 2
  B) $\frac{1}{3}$
  C) 1
  D) $\frac{2}{3}$
  Show Answer
  The correct answer is B .
• Question 50: The probability that a student passes a physics test is $\frac{2}{3}$. If he takes three physics tests, what is the probability that he passes two of the tests? Options:
  A) $\frac{2}{27}$
  B) $\frac{3}{27}$
  C) $\frac{4}{27}$
  D) $\frac{5}{3}$
  Show Answer
  The correct answer is C .