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 1191: If 5, 8, 6 and 2 occur with frequencies 3, 2, 4 and 1 respectively. Find the product of the modal and the median number Options:
  A) 36
  B) 48
  C) 30
  D) 40
  Show Answer
  The correct answer is A .
• Question 1192: If the surface area of a sphere increased by 44%, find the percentage increase in diameter Options:
  A) 44
  B) 30
  C) 22
  D) 20
  Show Answer
  The correct answer is D .
• Question 1193: 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 1194: 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 1195: Two triangles have the same areas if Options:
  A) two sides in one triangle are equal to two sides in the other
  B) three sides in one triangle are equal to three sides in the other
  C) two angles in the triangle are equal to two angles in the other
  D) three angles in one triangle are equal to three angles in the other
  E) one side and the opposite angle in one triangle are equal to one side and the opposite angle in the other
  Show Answer
  The correct answer is D .
• Question 1196: What will be the value of k so that the quadratic equation kx² - 4x + 1 = 0 has two equal roots? Options:
  A) 2
  B) 3
  C) 4
  D) 8
  E) $\frac{1}{4}$
  Show Answer
  The correct answer is C .
• Question 1197: A student blows a balloon and its volume increases at a rate of $\pi$(20 - t²)cm³S^-1 after t seconds. If the initial volume is 0 cm³, find the volume of the balloon after 2 seconds Options:
  A) 37.00$\pi$
  B) 37.33$\pi$
  C) 40.00$\pi$
  D) 42.67$\pi$
  Show Answer
  The correct answer is B .
• Question 1198:

  A train moves from P to Q at an average speed of 90km/h and immediately returns from Q to P through the same route at an average speed of 45km/h. Find the average speed for the entire journey

  Options:
  A) 55.00km/h
  B) 60.00km/h
  C) 67.50km/h
  D) 75.00km/h
  Show Answer
  The correct answer is B .
• Question 1199: Evaluate $\frac{8^{\frac{1}{3}}\times 5^{\frac{2}{3}}}{{10}^{\frac{2}{3}}}$ = $\frac{8^{\frac{1}{3}}\times 5^{\frac{2}{3}}}{{10}^{\frac{2}{3}}}$ Options:
  A) $\frac{2}{5}$
  B) $\frac{5}{3}$
  C) 3$\sqrt{5}$
  D) 3$\sqrt{2}$
  Show Answer
  The correct answer is D .
• Question 1200: The chances of Usman and Dele passing a Mathematics test are 12 and 13 respectively. What is the probability that neither of them passes the test? Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{4}{15}$
  D) $\frac{1}{5}$
  E) $\frac{2}{15}$
  Show Answer
  The correct answer is C .