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 1231: Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. Find the square of the mode. Options:
  A) 49
  B) 121
  C) 25
  D) 64
  Show Answer
  The correct answer is B .
• Question 1232: Add 1101₂,10111₂ and 111₂ Options:
  A) 111011₂
  B) 110110₂
  C) 101011₂
  D) 101010₂
  Show Answer
  The correct answer is C .
• Question 1233: If cos$\theta$ = $\frac{a}{b}$, find 1 + tan²$\theta$ Options:
  A) $\frac{b^2}{a^2}$
  B) $\frac{a^2}{b^2}$
  C) $\frac{a^2+b^2}{b^2-a^2}$
  D) $\frac{2a^2+b^2}{a^2+b^2}$
  Show Answer
  The correct answer is A .
• Question 1234: If log 10 to base 8 = X, evaluate log 5 to base 8 in terms of X. Options:
  A) $\frac{1}{2}$X
  B) X-$\frac{1}{4}$
  C) X-$\frac{1}{3}$
  D) X-$\frac{1}{2}$
  Show Answer
  The correct answer is C .
• Question 1235:

  If the simple interest on a sum of money invested at 3% per annum for 2$\frac{1}{2}$  years is ₦123, find the principal.

  Options:
  A) ₦676.50
  B) ₦820
  C) ₦1,640
  D) ₦4,920
  Show Answer
  The correct answer is C .
• Question 1236: Evaluate the integral ${\int }_{\frac{\pi }{12}}^{\frac{\pi }{4}}$ 2 cos 2x dx Options:
  A) -$\frac{1}{2}$
  B) -1
  C) $\frac{1}{2}$
  D) 1
  Show Answer
  The correct answer is C .
• Question 1237: Solve the equation cos x + sin x $\frac{1}{cosx-sinx}$ for values of such that 0 $\le$ x < 2$\pi$. Options:
  A) $\frac{\pi }{2}$, $\frac{3\pi }{2}$
  B) $\frac{\pi }{3}$, $\frac{2\pi }{3}$
  C) 0, $\frac{\pi }{3}$
  D) 0, $\pi$
  Show Answer
  The correct answer is D .
• Question 1238: Factorize 4x² - 9y² + 20x + 25 Options:
  A) (2x -3y + 5)(2x - 3y - 5)
  B) (2x - 3y)(2x + 3y)
  C) (2x - 3y +5)(2x + 3y + 5)
  D) (2x + 5)(2x - 9y +5)
  Show Answer
  The correct answer is C .
• Question 1239:

  

  Find the area of the shades segments in the figure.

  Options:
  A) $\sqrt{3}$
  B) 4 $\pi -\sqrt{3}$
  C) -$\frac{2}{3}\pi$
  D) $\frac{2\pi }{3}$ -3
  Show Answer
  The correct answer is D .
• Question 1240: PQR is the diagram of a semicircle RSP with centre at Q and radius of length 3.5cm. If QPT = 60^o. Find the perimeter of the figure PTRS. $\pi$ = $\frac{22}{7}$ Options:
  A) 25cm
  B) 18cm
  C) 36cm
  D) 29cm
  E) 25.5cm
  Show Answer
  The correct answer is A .