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 2251: 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 2252: If (g(y)) = $\frac{y-3}{11}$ + $\frac{11}{y^2-9}$. what is g(y + 3)? Options:
  A) $\frac{y}{11}+\frac{11}{y(y+6)}$
  B) $\frac{y}{11}+\frac{11}{y(y+3)}$
  C) $\frac{y+30}{11}+\frac{11}{y(y+3)}$
  D) $\frac{y+3}{11}+\frac{11}{y(y-6)}$
  Show Answer
  The correct answer is A .
• Question 2253:

  The ages of students in a small primary school were recorded in the table below.

  Age	5 - 6	7 - 8	9 -10
  Frequency	29	40	38

  
  Estimate the mean

  Options:
  A) 7.7
  B) 7.5
  C) 7.8
  D) 7.6
  Show Answer
  The correct answer is A .
• Question 2254: a binary operation $\oplus$ o the set of rational numbers is defined as x $\oplus$ y = $\frac{x^2-y^2}{2xy}$. Find -5 $\oplus$ 3 Options:
  A) $\frac{8}{15}$
  B) -$\frac{17}{15}$
  C) $\frac{17}{15}$
  D) $\frac{8}{-15}$
  Show Answer
  The correct answer is D .
• Question 2255:

  A ship sets sail from port A (86${}^o$N, 56${}^o$W) for port B (86${}^o$N, 64${}^o$W), which is close by. Find the distance the ship covered from port A to port B, correct to the nearest km.

  [Take $\pi$= 3.142 and R = 6370 km]

  Options:
  A) 62 km
  B) 97 km
  C) 389 km
  D) 931 km
  Show Answer
  The correct answer is A .
• Question 2256: Solve for a positive number x such that 2(x³ - x² - 2x) = 1 Options:
  A) 4
  B) 3
  C) 2
  D) 1
  Show Answer
  The correct answer is C .
• Question 2257: Simplify $\sqrt{160r^2}$ + $\sqrt{71r^4}$ + $\sqrt{100r^2}$ Options:
  A) 9r²
  B) 12$\sqrt{3r}$
  C) 13r
  D) $\sqrt{13r}$
  Show Answer
  The correct answer is C .
• Question 2258:

  

  In $△$XYZ, determine the cosine of angle Z.

  Options:
  A) $\frac{3}{39}$
  B) $\frac{29}{36}$
  C) $\frac{14}{5}$
  D) $\frac{7}{5}$
  Show Answer
  The correct answer is B .
• Question 2259: Find the value of sin 45^o - cos 30^o Options:
  A) $\frac{2+\sqrt{6}}{4}$
  B) $\frac{\sqrt{2}+\sqrt{3}}{4}$
  C) $\frac{\sqrt{2}+\sqrt{3}}{6}$
  D) $\frac{\sqrt{2}-\sqrt{3}}{2}$
  Show Answer
  The correct answer is D .
• Question 2260: A regular hexagon is constructed inside a circle of diameter 12cm. The area of the hexagon is Options:
  A) 36$\pi$cm²
  B) 54$\sqrt{3}$cm²
  C) $\sqrt{3}$cm²
  D) $\frac{1}{x-1}$
  Show Answer
  The correct answer is B .