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:

  Evaluate: ${\int }_0^z(sinx-cosx)dx$
  Where $z=\frac{\pi }{4}.(\pi =pi)$

  Options:
  A) $\sqrt{2+1}$
  B) $\sqrt{2}-1$
  C) $-\sqrt{2}-1$
  D) $1-\sqrt{2}$
  Show Answer
  The correct answer is B .
• Question 222: simplify $\frac{\frac{7}{9}-\frac{2}{3}}{\frac{1}{3}+\frac{\frac{2}{5}}{\frac{4}{5}}}$ Options:
  A) $\frac{11}{12}$
  B) $\frac{5}{6}$
  C) $\frac{1}{5}$
  D) $\frac{2}{15}$
  Show Answer
  The correct answer is D .
• Question 223: Make T the subject of the equation $\frac{av}{1-v}$ = $\sqrt{\frac{2v+T}{a+2T}}$ Options:
  A) T = $\frac{3av}{1-v}$
  B) T = $\frac{1+v}{2a^2{v}^3}$
  C) T = $\frac{2v(1-v{)}^3-a^4{v}^3}{2a^3{v}^3+(1-v{)}^2}$
  D) $\frac{2v(1-v{)}^3-a^4{v}^3}{2a^3{v}^3-(1-v{)}^3}$
  Show Answer
  The correct answer is D .
• Question 224: What is the probability that an integer x $(1\le x\le 25)$ chosen at random is divisible by both 2 and 3? Options:
  A) $\frac{1}{25}$
  B) $\frac{1}{5}$
  C) $\frac{4}{25}$
  D) $\frac{3}{4}$
  Show Answer
  The correct answer is C .
• Question 225: If f (x) = 3x - 2, P = $\left(\begin{array}{cc}2& 1\\ -1& 0\end{array}\right)$ and I is 2 X 2 identity matrix, evaluate f(P) Options:
  A) $\left(\begin{array}{cc}6& 3\\ -3& 0\end{array}\right)$
  B) $\left(\begin{array}{cc}2& 0\\ 0& 2\end{array}\right)$
  C) $\left(\begin{array}{cc}8& 3\\ -3& 2\end{array}\right)$
  D) $\left(\begin{array}{cc}4& 3\\ -3& -2\end{array}\right)$
  Show Answer
  The correct answer is D .
• Question 226: The nth term of a sequence is n² - 6n - 4. Find the sum of the 3rd and 4th terms. Options:
  A) 24
  B) 23
  C) -24
  D) -25
  Show Answer
  The correct answer is D .
• Question 227:

  If a fair coin is tossed 3 times, what is the probability of getting at least two heads?

  Options:
  A) $\frac{2}{3}$
  B) $\frac{4}{5}$
  C) $\frac{2}{5}$
  D) $\frac{1}{2}$
  Show Answer
  The correct answer is D .
• Question 228: x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2? Options:
  A) 2.5
  B) 5
  C) 6.25
  D) 6.52
  E) 7.5
  Show Answer
  The correct answer is C .
• Question 229: A chord drawn 5 cm away from the center of a circle of radius 13 cm. Calculate the length of the chord Options:
  A) 7cm
  B) 9cm
  C) 12cm
  D) 24cm
  Show Answer
  The correct answer is D .
• Question 230:

  

  From the cyclic quadrilateral above, find < TVS

  Options:
  A) 60^o
  B) 80^o
  C) 70^o
  D) 50^o
  Show Answer
  The correct answer is B .