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 411: If sec² $\theta$ + tan² $\theta$ = 3, then the angle $\theta$ is equal to Options:
  A) 30${}^{\circ }$
  B) 45${}^{\circ }$
  C) 60${}^{\circ }$
  D) 90${}^{\circ }$
  E) 105${}^{\circ }$
  Show Answer
  The correct answer is B .
• Question 412: If tan α = $\frac{1}{2}$ and tan β = $\frac{1}{3}$ and both α and β are acute, find tan (α + β). Options:
  A) 0.015
  B) 1
  C) 10
  D) 39.81
  E) 45
  Show Answer
  The correct answer is B .
• Question 413: What is the common ratio of the G.P. $(\sqrt{10}+\sqrt{5})+(\sqrt{10}+2\sqrt{5})+...$? Options:
  A) $\sqrt{2}$
  B) $\sqrt{5}$
  C) 3
  D) 5
  Show Answer
  The correct answer is A .
• Question 414:

  Determine the maximum value of y=3x${}^2$ + 5x - 3

  Options:
  A) 6
  B) 0
  C) 2
  D) No correct option
  Show Answer
  The correct answer is D .
• Question 415: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 416: For what of n is ⁿ⁺¹C₃ = 4(ⁿC₃)? Options:
  A) 6
  B) 5
  C) 4
  D) 3
  Show Answer
  The correct answer is D .
• Question 417: If ^dy/_dx = x + cos x, find y Options:
  A) x² - sin x + c
  B) x² + sin x + c
  C) ^x2/₂ - sin x + c
  D) ^x2/₂ + sin x + c
  Show Answer
  The correct answer is D .
• Question 418: Simplify (√0.7 + √70)² Options:
  A) 84.7
  B) 70.7
  C) 217.7
  D) 168.7
  Show Answer
  The correct answer is A .
• Question 419: Find the distance between two towns p(45^o N, 30^oW) and Q(15^oS, 30^oW) if the radius of the earth is 7000km. [$\pi =\frac{22}{7}$] Options:
  A) $\frac{1100}{3}$km
  B) $\frac{2200}{3}$km
  C) $\frac{22000}{3}$km
  D) $\frac{1100}{3}$km
  Show Answer
  The correct answer is C .
• Question 420: The mean of seven numbers is 10. If six of the numbers are 2, 4, 8, 14, 16 and 18, find the mode. Options:
  A) 6
  B) 8
  C) 14
  D) 2
  Show Answer
  The correct answer is B .