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 371: Simplify $\frac{2\sqrt{2}-\sqrt{3}}{\sqrt{2}+\sqrt{3}}$ Options:
  A) 3$\sqrt{6}-7$
  B) 3$\sqrt{6}-7$
  C) 3$\sqrt{6}-1$
  D) 3$\sqrt{6}+1$
  Show Answer
  The correct answer is A .
• Question 372:

  

  In the venn diagram, the shaded region is

  Options:
  A) (P $\cap$ Q) $\cup$ R
  B) (P $\cap$ Q) $\cap$ R
  C) (P $\cap$ Q¹) $\cap$ R
  D) (P $\cap$ Q¹) $\cup$ R
  Show Answer
  The correct answer is C .
• Question 373: Find the inverse of p under the binary operation * defined by p*q = p + q - pq, where p and q are real numbers and zero is the identity Options:
  A) p
  B) p -1
  C) p/(p-1)
  D) p/(p+1)
  Show Answer
  The correct answer is C .
• Question 374: In xyz, y = z = 30^o ans XZ = 3cm. Find YZ Options:
  A) $\frac{\sqrt{3}}{2}$ cm
  B) 3$\frac{\sqrt{3}}{2}$ cm
  C) 3$\sqrt{3}$ cm
  D) 2$\sqrt{3}$ cm
  Show Answer
  The correct answer is C .
• Question 375: Evaluate [$\frac{1}{0.03}$ $÷$ $\frac{1}{0.024}$]^-1 correct to 2 decimal places Options:
  A) 3.76
  B) 1.25
  C) 0.94
  D) 0.75
  Show Answer
  The correct answer is B .
• Question 376: The sine, cosine and tangent of 210^o are respectively Options:
  A) $\frac{1}{2}$, $\frac{\sqrt{3}}{2}$, $\frac{\sqrt{3}}{2}$
  B) $\frac{1}{2}$, $\frac{\sqrt{3}}{2}$, $\frac{\sqrt{3}}{3}$
  C) $\frac{1}{2}$, $\frac{\sqrt{3}}{2}$, $\frac{\sqrt{3}}{2}$
  D) $\frac{-1}{2}$, $\frac{\sqrt{-3}}{2}$, $\frac{\sqrt{3}}{3}$
  Show Answer
  The correct answer is D .
• Question 377:

  Solve for k in the equation ${\frac{1}{8}}^{k+2}$ = 1

  Options:
  A) 2
  B) -4
  C) -2
  D) 4
  Show Answer
  The correct answer is C .
• Question 378: Simplify $\frac{x}{x+y}$ + $\frac{y}{x-y}$ - $\frac{x^2}{x^2-y^2}$ Options:
  A) $\frac{x}{x^2-y^2}$
  B) $\frac{y^2}{x^2-y^2}$
  C) $\frac{x^2}{x^2-y^2}$
  D) $\frac{y}{x^2-y^2}$
  Show Answer
  The correct answer is B .
• Question 379: If $\frac{3e+f}{3f-e}$ = $\frac{2}{5}$, find the value of $\frac{e+3f}{f-3e}$ Options:
  A) $\frac{5}{2}$
  B) 1
  C) $\frac{26}{7}$
  D) $\frac{1}{3}$
  Show Answer
  The correct answer is C .
• Question 380: Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60^o. Options:
  A) (12 + 4$\pi$)cm
  B) (24 + 4$\pi$)cm
  C) (12 + 6$\pi$)cm
  D) (24 + 6$\pi$)cm
  Show Answer
  The correct answer is B .