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 291:

  In triangle FGB, < G = 90°, < H = 60°, while in triangle XYZ, < X = 60° and < Y = 30°. Form XYZ write down the ratio equal to $\frac{FG}{FH}$

  Options:
  A) $\frac{YX}{ZX}$
  B) $\frac{YX}{YZ}$
  C) $\frac{ZX}{YZ}$
  D) $\frac{YZ}{XY}$
  Show Answer
  The correct answer is D .
• Question 292: A tax player is allowed $\frac{1}{8}$th of his income tax-free, and pays 20% on the remainder. If he pays ₦490.00 tax, what is his income? Options:
  A) ₦560.00
  B) ₦2,450.00
  C) ₦2,800.00
  D) ₦3,920.00
  Show Answer
  The correct answer is C .
• Question 293: Simplify cos² x (sec²x + sec² x tan²x) Options:
  A) tan x
  B) tanx secx
  C) $\frac{1+ta{n}^{2}x}{se{c}^{2}x}$
  D) cosec²x
  Show Answer
  The correct answer is C .
• Question 294: A straight line makes an angle of 30° with the positive x-axis and cuts the y-axis at y = 5. Find the equation of the straight line. Options:
  A) y = (x/10) + 5
  B) y = x + 5
  C) √3y = - x + 5√3
  D) √3y = x + 5√3
  Show Answer
  The correct answer is D .
• Question 295:

  Given that $\theta$ is an acute angle and sin $\theta$ = $\frac{m}{n}$, find cos $\theta$

  Options:
  A) $\frac{\sqrt{n^2-m^2}}{m}$
  B) $\frac{\sqrt{(n+m)(n-m)}}{n}$
  C) $\frac{m}{\sqrt{n^2-m^2}}$
  D) $\sqrt{\frac{n}{n^2-m^2}}$
  Show Answer
  The correct answer is B .
• Question 296: What is the value of sin(-690)? Options:
  A) $\frac{\sqrt{3}}{2}$
  B) -$\frac{\sqrt{3}}{2}$
  C) $\frac{-1}{2}$
  D) $\frac{1}{2}$
  Show Answer
  The correct answer is D .
• Question 297: The sum of the first three terms of a geometric progression is half its sum to infinity. Find the positive common ratio of the progression. Options:
  A) $\frac{1}{4}$
  B) $\sqrt{\frac{3}{2}}$
  C) $\frac{1}{\sqrt{3}}$
  D) $\frac{1}{\sqrt{2}}$
  Show Answer
  The correct answer is B .
• Question 298:

  Evaluate 5${}^{-3}$ log${}^2$ $\times$ 2 ${}^{2\log 3}$

  Options:
  A) 8
  B) $\frac{1}{8}$
  C) 1$\frac{1}{8}$
  D) $\frac{2}{5}$
  Show Answer
  The correct answer is B .
• Question 299: Musa borrows ₦10.00 at 2% per month simple interest and repays ₦8.00 after 4 months. How much does he still owe Options:
  A) ₦10.80
  B) ₦10.67
  C) ₦2.80
  D) ₦2.67
  Show Answer
  The correct answer is C .
• Question 300: A world congress of mathematicians were held in Nice in 1970 with 800 people participating. There were 300 from Europe, 200 from America, 150 from Asia, 45 from Africa and 105 from Australia. Representing the above on a pie chart, the angle of the sector representing the participant is Options:
  A) 150^o
  B) 67$\frac{1}{2}$^o
  C) 67^o
  D) 135^o
  E) 68^o
  Show Answer
  The correct answer is B .