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 81: If y = x sinx, find dy/dx when x = π/2. Options:
  A) -π/2
  B) -1
  C) 1
  D) π/2
  Show Answer
  The correct answer is C .
• Question 82: Integrate $\frac{1-x}{x^3}$ with respect to x Options:
  A) $\frac{x-x^2}{x^4}$ + k
  B) $\frac{4}{x^4}-\frac{3+k}{x^3}$
  C) $\frac{1}{x}-\frac{1}{2x^2}$ + k
  D) $\frac{1}{3x^2}-\frac{1}{2x}$ + k
  Show Answer
  The correct answer is C .
• Question 83: The mean of 2 - 4, 4 + t, 3 - 2t and t - 1 is Options:
  A) t
  B) -t
  C) 2
  D) -2
  Show Answer
  The correct answer is C .
• Question 84: A basket contains 9 apples, 8 bananas and 7 oranges. A fruit is picked from the basket, find the probability that it is neither an apple nor an orange. Options:
  A) $\frac{3}{8}$
  B) $\frac{1}{3}$
  C) $\frac{7}{24}$
  D) $\frac{2}{3}$
  Show Answer
  The correct answer is B .
• Question 85: $\left|\begin{array}{ccc}-2& 1& 1\\ 2& 1& k\\ 1& 3& -1\end{array}\right|$ = 23 Options:
  A) 1
  B) 2
  C) 3
  D) 4
  Show Answer
  The correct answer is B .
• Question 86:

  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 w km 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 87: The gradient of a line joining (x,4) and (1,2) is $\frac{1}{2}$. Find the value of x Options:
  A) 5
  B) 3
  C) -3
  D) -5
  Show Answer
  The correct answer is A .
• Question 88: Find the value of $\left|\begin{array}{ccc}0& 3& 2\\ 1& 7& 8\\ 0& 5& 4\end{array}\right|$ Options:
  A) 12
  B) 10
  C) -1
  D) -2
  Show Answer
  The correct answer is D .
• Question 89: Five people are to be arranged in a row for a group photograph. How many arrangements are the if a married couple in the group insist on sitting next to each other? Options:
  A) 48
  B) 24
  C) 20
  D) 10
  Show Answer
  The correct answer is C .
• Question 90: The nth term of a sequence is given 3^{1 - n} , find the sum of the first terms of the sequence. Options:
  A) $\frac{13}{9}$
  B) 1
  C) $\frac{1}{3}$
  D) $\frac{1}{9}$
  Show Answer
  The correct answer is A .