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 1: Finds a positive value of p if the expression 2x² - px + p leaves a remainder 6 when divided by x - p and q Options:
  A) 1
  B) 2
  C) 3
  D) 4
  Show Answer
  The correct answer is B .
• Question 2: Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14) Options:
  A) 17.1cm²
  B) 27.2cm²
  C) 47.1cm²
  D) 37.3cm²
  Show Answer
  The correct answer is C .
• Question 3:

  Find the probability that a number selected at random from 40 to 50 is a prime.

  Options:
  A) $\frac{3}{11}$
  B) $\frac{5}{11}$
  C) $\frac{3}{11}$
  D) $\frac{4}{11}$
  Show Answer
  The correct answer is C .
• Question 4: If x = $\left(\begin{array}{cc}1& 2\\ 0& 3\end{array}\right)$ and y = $\left(\begin{array}{cc}2& 1\\ 4& 3\end{array}\right)$. Find xy. Options:
  A) $\left(\begin{array}{cc}10& 7\\ 12& 9\end{array}\right)$
  B) $\left(\begin{array}{cc}2& 7\\ 4& 17\end{array}\right)$
  C) $\left(\begin{array}{cc}10& 4\\ 4& 6\end{array}\right)$
  D) $\left(\begin{array}{cc}4& 3\\ 10& 9\end{array}\right)$
  Show Answer
  The correct answer is A .
• Question 5: The difference between 4$\frac{5}{7}$ and 2$\frac{1}{4}$ greater by Options:
  A) $\frac{23}{28}$
  B) $\frac{24}{28}$
  C) $\frac{50}{56}$
  D) $\frac{27}{28}$
  E) $\frac{48}{56}$
  Show Answer
  The correct answer is C .
• Question 6: Simplify ($\frac{1}{\sqrt{5}+\sqrt{3}}-\frac{1}{\sqrt{5}-\sqrt{3}}$ x $\frac{1}{\sqrt{3}}$) Options:
  A) $\frac{\sqrt{3}}{\sqrt{5}}$
  B) $\frac{2\sqrt{3}}{7}$
  C) -2
  D) -1
  Show Answer
  The correct answer is B .
• Question 7: Simplify $\frac{\sqrt{1+x}+\sqrt{x}}{\sqrt{1+x}-\sqrt{x}}$ Options:
  A) -2x - 2$\sqrt{x(1+x)}$
  B) 1 + 2x + 2$\sqrt{x(1+x)}$
  C) $\sqrt{x(1+x)}$
  D) 1 + 2x - 2$\sqrt{x(1+x)}$
  Show Answer
  The correct answer is B .
• Question 8:

  Given matrix M = $\left|\begin{array}{ccc}-2& 0& 4\\ 0& -1& 6\\ 5& 6& 3\end{array}\right|$, find $M^T+2M$

  Options:
  A) $\left|\begin{array}{ccc}-4& 2& 1\\ 6& 0& 5\\ 0& 6& 2\end{array}\right|$
  B) $\left|\begin{array}{ccc}-6& 0& 13\\ 0& -3& 18\\ 14& 18& 9\end{array}\right|$
  C) $\left|\begin{array}{ccc}5& 2& 6\\ 0& 1& 1\\ 3& 4& -7\end{array}\right|$
  D) $\left|\begin{array}{ccc}-4& 0& 8\\ 0& -2& -16\\ 10& 12& 6\end{array}\right|$
  Show Answer
  The correct answer is B .
• Question 9: If y = x(x4 + x + 1), evaluate ∫${}_0^1$ ydx Options:
  A) $\frac{11}{12}$
  B) $\frac{11}{16}$
  C) $\frac{5}{6}$
  D) zero
  Show Answer
  The correct answer is D .
• Question 10: 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 .