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 1171:

  $\begin{array}{cccc}\text{Age in years}& 10& 11& 12\\ \text{No. of pupils}& 6& 27& 7\end{array}$

  The table above shows the number of pupil in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?

  Options:
  A) $\frac{27}{40}$
  B) $\frac{3}{30}$
  C) $\frac{17}{20}$
  D) $\frac{33}{40}$
  Show Answer
  The correct answer is C .
• Question 1172: Evaluate the integral ${\int }_{\frac{\pi }{12}}^{\frac{\pi }{4}}$ 2 cos 2x dx Options:
  A) -$\frac{1}{2}$
  B) -1
  C) $\frac{1}{2}$
  D) 1
  Show Answer
  The correct answer is C .
• Question 1173: Find the non-zero positive value of x which satisfies the equation $\left|\begin{array}{ccc}x& 1& 0\\ 1& x& x\\ 0& 1& x\end{array}\right|$ = 0 Options:
  A) 2
  B) 4
  C) √3
  D) √2
  E) 1
  Show Answer
  The correct answer is A .
• Question 1174: Simplify 4$\frac{3}{4}$ - 6$\frac{1}{4}$ Options:
  A) -7$\frac{7}{8}$
  B) $\frac{-2}{7}$
  C) $\frac{-10}{21}$
  D) $\frac{10}{21}$
  Show Answer
  The correct answer is B .
• Question 1175: 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 1176:

  If given two points A(3, 12) and B(5, 22) on a x-y plane. Find the equation of the straight line with intercept at 2.

  Options:
  A) y = 5x + 2
  B) y = 5x + 3
  C) y = 12x + 2
  D) y = 22x + 3
  Show Answer
  The correct answer is A .
• Question 1177: simplify $\frac{6^{2n+1}\times 9^n\times 4^{2n}}{{18}^n\times 2^n\times {12}^{2n}}$ Options:
  A) 3²ⁿ
  B) 3 x 2^{3n - 1}
  C) 2ⁿ
  D) 6
  E) 1
  Show Answer
  The correct answer is D .
• Question 1178: Integrate $\frac{x^2-\sqrt{x}}{x}$ with respect to x Options:
  A) $\frac{x^2}{2}-2\sqrt{x}+K$
  B) $\frac{2(x^2-x)}{3x}+K$
  C) $\frac{x^2}{2}-\sqrt{x}+K$
  D) $\frac{(x^2-x)}{3x}+K$
  Show Answer
  The correct answer is A .
• Question 1179:

  $\begin{array}{cccc}\text{Age in years}& 10& 11& 12\\ \text{Number of pupils}& 6& 27& 7\end{array}$

  The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?

  Options:
  A) $\frac{27}{40}$
  B) $\frac{17}{20}$
  C) $\frac{33}{40}$
  D) $\frac{3}{20}$
  Show Answer
  The correct answer is B .
• Question 1180:

  A binary operation $plus$ defined on the set of integers is such that m $plus$ n = n + mn for all integers m and n. Find the inverse of -5 under this operation, if the identity element is 0.

  Options:
  A) $\frac{-5}{4}$
  B) $\frac{-5}{6}$
  C) 0
  D) 5
  Show Answer
  The correct answer is D .