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 51: Find the range of the value of x satisfying the inequalities 5 + x $\le$ 8 and 13 + x $\ge$ 7 Options:
  A) -3 $\le$ x $\le$ 3
  B) 3 $\le$ x $\le$ 6
  C) -6 $\le$ x $\le$ 3
  D) -6 $\le$ x $\le$ -3
  Show Answer
  The correct answer is C .
• Question 52: Multiply (3x + 5y + 4z) by (2x - 3y + z) Options:
  A) 6x² + xy - 15y² + 4z² + 11xz - 7yz
  B) 6x² + 3xy - 15y² + 4z²
  C) 6x² + 3xy - y² + 4z²
  D) 6x² + 3xy - 15y + z²
  Show Answer
  The correct answer is A .
• Question 53: If x varies inversely as y, and y varies directly as the square root of z, and z varies directly $\frac{1}{w^2}$ write down in words how x varies with w Options:
  A) x varies inversely as w²
  B) x varies directly as w²
  C) x varies directly as w
  D) x varies inversely as w
  E) x varies directly as square root of w
  Show Answer
  The correct answer is B .
• Question 54: The ratio of the areas of similar triangles is necessarily equal to Options:
  A) the ratio of the corresponding sides
  B) the ratio of the squares on corresponsing sides
  C) the ratio of the corresponding heights of the triangles
  D) half the ratio of the corresponding heights of the triangles
  E) the ratio of the corresponding bases to the heights of the triangles
  Show Answer
  The correct answer is C .
• Question 55: If (IPO3)4 = 115₁₀ find P Options:
  A) o
  B) 1
  C) 2
  D) 3
  Show Answer
  The correct answer is D .
• Question 56: A man with an annual salary of ₦2000, has allowances of ₦600. If Income Tax is 5%, how much tax does he pay each year? Options:
  A) 15
  B) 20
  C) 30
  D) 25
  Show Answer
  The correct answer is C .
• Question 57: If tan θ = 4/3, calculate sin²θ - cos²θ. Options:
  A) 16/25
  B) 24/25
  C) 7/25
  D) 9/25
  Show Answer
  The correct answer is C .
• Question 58: If $\left|\begin{array}{cc}x& 3\\ 2& 7\end{array}\right|$ = 15, find the value of x Options:
  A) 4
  B) 5
  C) 2
  D) 3
  Show Answer
  The correct answer is D .
• Question 59:

  Solve for k in the equation ${\frac{1}{8}}^{k+2}$ = 1

  Options:
  A) 2
  B) -4
  C) -2
  D) 4
  Show Answer
  The correct answer is C .
• Question 60: 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 .