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 1251: simplify ${16}^{\frac{-1}{2}}\times 4^{\frac{-1}{2}}\times {27}^{\frac{1}{3}}$ Options:
  A) ³/₈
  B) ²/₃
  C) ³/₄
  D) ³/₂
  Show Answer
  The correct answer is A .
• Question 1252:

  $\begin{array}{cccccccc}\text{Marks}& 2& 3& 4& 5& 6& 7& 8\\ \text{No. of students}& 3& 1& 5& 2& 4& 2& 3\end{array}$

  From the table above, if the pass mark is 5, how many students failed the test?

  Options:
  A) 6
  B) 2
  C) 9
  D) 7
  Show Answer
  The correct answer is C .
• Question 1253: If y = x sin x, Find $\frac{d^{2}y}{d^{2}x}$ Options:
  A) 2 cosx - x - x sinx
  B) sinx + x cosx
  C) sinx - x cosx
  D) x sinx - 2 cosx
  Show Answer
  The correct answer is A .
• Question 1254:

  A sector of a circle has an area of 55 cm². If the radius of the circle is 10 cm, calculate the angle of the sector. [π = 22/7]

  Options:
  A) 45${}^{\circ }$
  B) 63${}^{\circ }$
  C) 75${}^{\circ }$
  D) 90${}^{\circ }$
  Show Answer
  The correct answer is B .
• Question 1255: If x varies inversely as the cube root of y and x = 1 when y = 8, find y when x = 3 Options:
  A) $\frac{1}{3}$
  B) $\frac{2}{3}$
  C) $\frac{8}{27}$
  D) $\frac{4}{9}$
  Show Answer
  The correct answer is C .
• Question 1256: Find the equation of the perpendicular at the point (4,3) to the line y + 2x = 5 Options:
  A) 2y - x = 4
  B) y + 2x = 3
  C) y + 2x = 5
  D) 2y - x = 2
  Show Answer
  The correct answer is D .
• Question 1257: Given that ${10}^x=0.2$ and ${\log }_{10}2=0.3010$, find x. Options:
  A) -1.3010
  B) -0.6990
  C) 0.6990
  D) 1.310
  E) 0.02
  Show Answer
  The correct answer is B .
• Question 1258: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D .
• Question 1259: The sum of four numbers is 1214₅. What is the average expressed in base five? Options:
  A) 114
  B) 141
  C) 401
  D) 411
  Show Answer
  The correct answer is B .
• Question 1260:

  y varies partly as the square of x and partly as the inverse of the square root of x. Write down the expression for y if y = 2 when x = 1 and y = 6 when x = 4.

  Options:
  A) y = $\frac{10x^2}{31}+\frac{52}{31\sqrt{x}}$
  B) y = x² + $\frac{1}{\sqrt{x}}$
  C) y = x² + $\frac{1}{x}$
  D) y = $\frac{x^2}{31}+\frac{1}{31\sqrt{x}}$
  Show Answer
  The correct answer is A .