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 421: A school boy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank 60^o. Calculate the height of the water tank. Options:
  A) 60m
  B) 30 $\sqrt{3}$m
  C) 20 $\sqrt{3}$m
  D) 10 $\sqrt{3}$m
  Show Answer
  The correct answer is B .
• Question 422: Find the value of x if $[1÷{64}^{(x+2)}]=[4^{(x-3)}÷{16}^x]$ Options:
  A) $\frac{3}{2}$
  B) $\frac{2}{3}$
  C) $\frac{1}{3}$
  D) $-\frac{3}{2}$
  Show Answer
  The correct answer is D .
• Question 423: In how many ways can a committee of 2 women and 3 men be chosen from 6 men and 5 women? Options:
  A) 100
  B) 200
  C) 30
  D) 50
  Show Answer
  The correct answer is B .
• Question 424:

  p = $\left|\begin{array}{ccc}x& 3& 0\\ 2& y& 3\\ 4& 2& 4\end{array}\right|$

  q = $\left|\begin{array}{ccc}x& 2& z\\ 3& y& 2\\ 0& 3& z\end{array}\right|$ Where p^T is the transpose p calculate /p^T/ when x = 0, y = 1 and z = 2

  Options:
  A) 48
  B) 24
  C) -24
  D) -48
  Show Answer
  The correct answer is B .
• Question 425: ($\frac{x^a}{x^b}$)^{a + b} by ($\frac{x^{a+b}}{x^{a-b}}$)^{$\frac{a^2}{b}$} Options:
  A) x^-a2
  B) x^b2
  C) x^{a2 - b2}
  D) $\frac{1}{x^{a2+b2}}$
  E) x^{b2 - a2}
  Show Answer
  The correct answer is D .
• Question 426:

  A binary operation on the set of real numbers excluding -1 is such that sor all m, n $\epsilon$ R, m $\mathrm{\Delta }$ n = m + n + mn. Find the identity element of the operation.

  Options:
  A) 1
  B) -$\frac{1}{2}$
  C) -1
  D) 0
  Show Answer
  The correct answer is D .
• Question 427:

  

  From the venn diagram above, the complement of the set P$\cap$Q is given by

  Options:
  A) {a, b, d, e}
  B) {b, d}
  C) {a, e}
  D) {c}
  Show Answer
  The correct answer is D .
• Question 428: Simplify $\sqrt{27}$ + $\frac{3}{\sqrt{3}}$ Options:
  A) 4$\sqrt{3}$
  B) $\frac{4}{\sqrt{3}}$
  C) 3$\sqrt{3}$
  D) $\frac{\sqrt{3}}{4}$
  Show Answer
  The correct answer is A .
• Question 429: The mean of 2 - 4, 4 + t, 3 - 2t and t - 1 is Options:
  A) t
  B) -t
  C) 2
  D) -2
  Show Answer
  The correct answer is C .
• Question 430:

  Measurements of the diameters, in centimeters, in centimeters, of 20 copper spheres are distributed as shown below:

  $\begin{array}{ccc}\text{Class boundary in cm}& \text{frequency}& \\ 3.35-3.45& 3\\ 3.45-3.55& 6\\ 3.55-3.65& 7\\ 3.65-3.75& 4\end{array}$

  What is the mean diameter of the copper spheres?

  Options:
  A) 3.40cm
  B) 3.58cm
  C) 3.56cm
  D) 3.62cm
  Show Answer
  The correct answer is C .