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:
  

  Which inequality describes the graph above?

  Options:
  A) $4y+5x\ge 20$
  B) $5y+4x\le 20$
  C) $4y+5x\le 20$
  D) $5y+4x\ge 20$
  Show Answer
  The correct answer is B .
• Question 2: Simplify $\frac{x(x+1{)}^{\frac{1}{2}}-(x+1{)}^{\frac{1}{2}}}{(x+1{)}^{\frac{1}{2}}}$ Options:
  A) $\frac{-1}{x+1}$
  B) $\frac{1}{x+1}$
  C) $\frac{1}{x}$
  D) $\frac{1}{x-1}$
  Show Answer
  The correct answer is A .
• Question 3: If x = $\left|\begin{array}{ccc}1& 0& 1\\ 2& -1& 0\\ -1& 0& 1\end{array}\right|$ and y = $\left|\begin{array}{ccc}-1& 1& 2\\ 0& -1& -1\\ 2& 0& 1\end{array}\right|$
  find 2x - y Options:
  A) $\left|\begin{array}{ccc}3& -1& 0\\ 4& -3& -1\\ -4& 1& 1\end{array}\right|$
  B) $\left|\begin{array}{ccc}3& -1& 0\\ 4& -1& 1\\ -4& 1& 1\end{array}\right|$
  C) $\left|\begin{array}{ccc}3& -1& 0\\ 4& -3& 1\\ -4& 1& 1\end{array}\right|$
  D) $\left|\begin{array}{ccc}3& -1& 0\\ 4& 1& 1\\ -4& -1& 1\end{array}\right|$
  Show Answer
  The correct answer is B .
• Question 4: Evaluate ${\int }_1^2$(6x² - 2x)dx Options:
  A) 16
  B) 13
  C) 12
  D) 11
  Show Answer
  The correct answer is D .
• Question 5: The letters of the word MATRICULATION are cut and put into a box. One letter is drawn at random from the box. Find the probability of drawing a vowel Options:
  A) $\frac{7}{13}$
  B) $\frac{5}{13}$
  C) $\frac{6}{13}$
  D) $\frac{8}{13}$
  E) $\frac{4}{13}$
  Show Answer
  The correct answer is C .
• Question 6:

  Given $\sin 58°=\cos p°$, find p.

  Options:
  A) 48°
  B) 58°
  C) 32°
  D) 52°
  Show Answer
  The correct answer is C .
• Question 7:

  Given that S and T are sets of real numbers such that S = {x : 0 $\le$ x $\le$ 5} and T = {x :− 2 < x < 3} Find S $\cup$ T

  Options:
  A) −3 < x < $\le$3
  B) −2< x < $\le$5
  C) 2< x < $\ge$ −5
  D) −1< x $\ge$ $\le$2
  Show Answer
  The correct answer is B .
• Question 8:

  The result of rolling a fair die 150 times is as summarized in the table given.

  $\begin{array}{ccccccc}\text{Number}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 12& 18& x& 30& 2x& 45\end{array}$

  What is the probability of obtaining a 5?

  Options:
  A) $\frac{3}{10}$
  B) $\frac{1}{5}$
  C) $\frac{1}{6}$
  D) $\frac{1}{10}$
  Show Answer
  The correct answer is B .
• Question 9: 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 10: 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 .