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 491: 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 492: If $\sqrt{3^x}$ = $\sqrt{9}$ then the value of x is: Options:
  A) $\frac{3}{4}$
  B) $\frac{4}{3}$
  C) $\frac{1}{3}$
  D) $\frac{2}{3}$
  E) $\frac{1}{2}$
  Show Answer
  The correct answer is E .
• Question 493: Find the integral values of x and y satisfying the inequality 3y + 5x $\le$ 15, given that y > 0, y < 3 and x > 0. Options:
  A) (1,1), (1,2), (1,3)
  B) (1,1), (2,1), (1,3)
  C) (1,1), (3,1), (2,2)
  D) (1,1), (1,2), (2,1)
  Show Answer
  The correct answer is D .
• Question 494: If U = (s, p, i, e, n, d, o, u, r), X = (s, p, e, n, d) Y = (s, e, n, o, u), Z = (p, n, o, u, r) find X ∩ Y ∪ Z Options:
  A) (p, o, u, r)
  B) (s, p, d, r)
  C) (p, n, d)
  D) (n, d, u)
  Show Answer
  The correct answer is C .
• Question 495: If y = x sin x, Find $\frac{d^{2}y}{d^{2}x}$ Options:
  A) 2 cosx - x - x sinx
  B) sinx + x cosx
  C) sinx - x cosx
  D) x sinx - 2 cosx
  Show Answer
  The correct answer is A .
• Question 496: If x is jointly proportional to the cube of y and the fourth power of z. In what ratio is x increased or decreased when y is halved and z is doubled? Options:
  A) 4:1 increase
  B) 2:1 increase
  C) 1:1 no change
  D) 1:4 decrease
  E) 3:4 decrease
  Show Answer
  The correct answer is B .
• Question 497:

  Given $\sin 58°=\cos p°$, find p.

  Options:
  A) 48°
  B) 58°
  C) 32°
  D) 52°
  Show Answer
  The correct answer is C .
• Question 498: Evaluate $\frac{6.3\times {10}^5}{81\times {10}^3}$ to 3 significant fiqures Options:
  A) 77.80
  B) 778.0
  C) 7.870
  D) 8.770
  E) 88.70
  Show Answer
  The correct answer is A .
• Question 499: Simplify f^{$\frac{1}{2}$}g²h^{$\frac{1}{2}$} $÷$ f^{$\frac{5}{2}$}g^oh^{$\frac{7}{3}$} Options:
  A) ($\frac{g}{fh}$)²
  B) f²g²h²
  C) $\frac{5}{4}$g^oh$\frac{7}{9}$
  D) $\frac{g^2}{f^5{h}^7}$
  E) $\frac{1}{f^2{h}^2}$
  Show Answer
  The correct answer is A .
• Question 500: Evaluate $\left|\begin{array}{ccc}2& 0& 5\\ 4& 6& 3\\ 8& 9& 1\end{array}\right|$ Options:
  A) 5y - 2x -18 = 0
  B) 102
  C) -102
  D) -42
  Show Answer
  The correct answer is C .