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 1531: Find the non-zero positive value of x which satisfies the equation $\left|\begin{array}{ccc}x& 1& 0\\ 1& x& x\\ 0& 1& x\end{array}\right|$ = 0 Options:
  A) 2
  B) 4
  C) √3
  D) √2
  E) 1
  Show Answer
  The correct answer is A .
• Question 1532: A man kept 6 black, 5 brown and 7 purple shirts in a drawer. What is the probability of his picking a purple shirt with his eyes closed? Options:
  A) $\frac{1}{7}$
  B) $\frac{11}{18}$
  C) $\frac{7}{18}$
  D) $\frac{7}{11}$
  Show Answer
  The correct answer is C .
• Question 1533: Make y the subject of the formula Z = x² + $\frac{1}{y^3}$ Options:
  A) y = $\frac{1}{(z-x^2{)}^3}$
  B) y = $\frac{1}{(z+x^2)\frac{1}{3}}$
  C) y = $\frac{1}{(z{x}^2)\frac{1}{3}}$
  D) y = $3\sqrt{z-x^2}$
  Show Answer
  The correct answer is D .
• Question 1534: If r varies inversely as the square root of s and t, how does s vary with r and t? Options:
  A) s varies inversely as r and t²
  B) s varies inverely as r² and t
  C) s varies directly as r² and t²
  D) s varies directly as r and t
  Show Answer
  The correct answer is B .
• Question 1535: 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 1536:

  i. S∩T∩W = S
  ii. S∪T∪W = W
  ii. T∩W = S

  If S$\subset$T$\subset$W. Which of the above statements are true?

  Options:
  A) i and ii
  B) i and iii
  C) ii and iii
  D) i, ii and iii
  Show Answer
  The correct answer is B .
• Question 1537: If cos²$\theta$ + $\frac{1}{8}$ = sin²$\theta$, find tan$\theta$ Options:
  A) 3
  B) $\frac{3\sqrt{7}}{7}$
  C) 3$\sqrt{7}$
  D) $\sqrt{7}$
  Show Answer
  The correct answer is B .
• Question 1538: Find the sum of the first twenty terms of the progression log a, log a², log a³..... Options:
  A) log a²⁰
  B) log a²¹
  C) log a²⁰⁰
  D) log a²¹⁰
  Show Answer
  The correct answer is D .
• Question 1539:

  The simple interest on ₦8550 for 3 years at x% per annum is ₦4890. Calculate the value of x to the nearest whole number.

  Options:
  A) 19%
  B) 20%
  C) 25%
  D) 16.3%
  Show Answer
  The correct answer is A .
• Question 1540: If b = a + cp and r = ab + $\frac{1}{2}$cp², express b² in terms of a, c, r. Options:
  A) b² = aV + 2cr
  B) b² = ar + 2c²r
  C) b² = a² = $\frac{1}{2}$ cr²
  D) b² = $\frac{1}{2}$ar² + c
  E) b² = 2cr - a²
  Show Answer
  The correct answer is E .