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 221: If cos $\theta$ = $\frac{\sqrt{3}}{2}$ and $\theta$ is less than 90^o. Calculate cos$\frac{90-\theta }{si{n}^2\theta }$ Options:
  A) $\frac{4}{\sqrt{3}}$
  B) $\sqrt{\frac{3}{2}}$
  C) $\sqrt{\frac{76}{2}}$
  D) 4$\sqrt{\frac{76}{2}}$
  Show Answer
  The correct answer is A .
• Question 222: In a school, there are 35 students in class 2A and 40 in class 2B. The mean score for class 2 in an English Literature examination is 60.0 and that for 2B in the same paper is 52.5. Find, to one place of decimal, the mean for the combined classes Options:
  A) 2.5
  B) 56.0
  C) 56.2
  D) 56.3
  E) 6.5
  Show Answer
  The correct answer is B .
• Question 223: Simplify $\sqrt{48}$ - $\frac{9}{\sqrt{3}}$ + $\sqrt{75}$ Options:
  A) 5√3
  B) 6√3
  C) 8√3
  D) 18√3
  Show Answer
  The correct answer is B .
• Question 224: Four members of a social first eleven cricket team are also members of the first fourteen rugby team. How many boys play for at least one of the two teams? Options:
  A) 25
  B) 21
  C) 16
  D) 3
  Show Answer
  The correct answer is B .
• Question 225: If the sum of the 8th and 9th terms of an arithmetic progression is 72 and the 4th term is -6, find the common difference Options:
  A) 4
  B) 8
  C) 6$\frac{2}{3}$
  D) 9$\frac{1}{3}$
  Show Answer
  The correct answer is D .
• Question 226: For the set of numbers 2, 3, 5, 6, 7, 7, 8 Options:
  A) The median is greater than the mode
  B) the mean is greater than the mode
  C) the mean is greater than the median
  D) the median is equal to the mean
  E) the mean is less than the median
  Show Answer
  The correct answer is E .
• Question 227:

  

  In the fiqure where PQRTU is a circle, ISTI = IRSI and angle TSR = 52${}^{\circ }$. Find the angle marked m.

  Options:
  A) 128${}^{\circ }$
  B) 52${}^{\circ }$
  C) 104${}^{\circ }$
  D) 64${}^{\circ }$
  E) 116${}^{\circ }$
  Show Answer
  The correct answer is E .
• Question 228:

  The kinetic element with respect to the multiplication shown in the diagram below is

  $\begin{array}{ccccc}\oplus & p& p& r& s\\ p& r& p& r& p\\ q& p& q& r& s\\ r& r& r& r& r\\ s& q& s& r& q\end{array}$

  Options:
  A) p
  B) q
  C) r
  D) s
  Show Answer
  The correct answer is D .
• Question 229: A binary operation $\ast$ is defined on a set of real numbers by x $\ast$ y = x^y for all real values of x and y. If x $\ast$ 2 = x. Find the possible values of x Options:
  A) 0, 1
  B) 1, 2
  C) 2, 2
  D) 0, 2
  Show Answer
  The correct answer is A .
• Question 230: Let = $\left(\begin{array}{cc}1& 0\\ 0& 1\end{array}\right)$ p = $\left(\begin{array}{cc}2& 3\\ 4& 5\end{array}\right)$ Q = $\left(\begin{array}{cc}u& 4+u\\ -2v& v\end{array}\right)$ be 2 x 2 matrices such that PQ = 1. Find (u, v) Options:
  A) (-$\frac{5}{2}$ - 1)
  B) (-$\frac{5}{2}$ - $\frac{3}{2}$)
  C) (-$\frac{5}{6}$ - 1)
  D) ($\frac{5}{2}$ - $\frac{3}{2}$)
  Show Answer
  The correct answer is A .