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 21: Given that for sets A and B, in a universal set E, A $\subseteq$ B then A $\cap$(A $\cap$ B)¹ is Options:
  A) A
  B) $\varphi$
  C) B
  D) E
  Show Answer
  The correct answer is B .
• Question 22: The amount A to which a principal P amounts at r% compound interest for n years is given by the formula A = P(1 + (r ÷ 100))n. Find A, if P = 126, r = 4 and n = 2. Options:
  A) ₦132.50K
  B) ₦136.30K
  C) ₦125.40K
  D) ₦257.42K
  Show Answer
  The correct answer is B .
• Question 23: Evaluate ∫2(2x-3)^2/3dx Options:
  A) 3/5(2x-3)^5/3 + k
  B) 6/5(2x-3)^5/3 + k
  C) 2x-3+k
  D) 2(2x-3)+k
  Show Answer
  The correct answer is A .
• Question 24:

  Simplify $\frac{3}{5}$ $÷$ ($\frac{2}{7}$ x $\frac{4}{3}$ $÷$ $\frac{4}{9}$)

  Options:
  A) $\frac{6}{7}$
  B) $\frac{4}{5}$
  C) $\frac{7}{10}$
  D) $\frac{21}{6}$
  Show Answer
  The correct answer is C .
• Question 25: 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 26:

  

  The diagram above is a circle with centre C. P, Q and S are points on the circumference. PS and SR are tangents to the circle. ∠PSR = 36${}^{\circ }$. Find ∠PQR

  Options:
  A) 72${}^{\circ }$
  B) 36${}^{\circ }$
  C) 144${}^{\circ }$
  D) 54${}^{\circ }$
  Show Answer
  The correct answer is A .
• Question 27: Simplify 4 - $\frac{1}{2-\sqrt{3}}$ Options:
  A) 2$\sqrt{3}$
  B) -2 - $\sqrt{3}$
  C) -2 + $\sqrt{3}$
  D) 2 - $\sqrt{3}$
  Show Answer
  The correct answer is D .
• Question 28: A binary operation ⊕ on real numbers is defined by x⊕y = xy + x + y for any two real numbers x and y. The value of (-³/₄)⊕6 is Options:
  A) ³/₄
  B) -⁹/₂
  C) ⁴⁵/₄
  D) -³/₄
  Show Answer
  The correct answer is A .
• Question 29: Find the principal which amounts to ₦5,500 at a simple interest in 5 years at 2% per annum. Options:
  A) ₦4,900
  B) ₦5,000
  C) ₦4,700
  D) ₦4,800
  Show Answer
  The correct answer is B .
• Question 30: Solve the inequality 2 - x > x².
  Options:
  A) x < -2 or x > 1
  B) x > 2 or x< -1
  C) -1 < x < 2
  D) -2 < x < 1
  Show Answer
  The correct answer is D .