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 721: A binary operation $\oplus$ is defines on the set of all positive integers by a $\oplus$ b = ab for all positive integers a, b. Which of the following properties does NOT hold? Options:
  A) closure
  B) identity
  C) positive
  D) inverse
  Show Answer
  The correct answer is D .
• Question 722: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 723: Simplify $\frac{9^{\frac{1}{3}}\times {27}^{-\frac{1}{3}}}{3^{-\frac{1}{6}}\times 3^{\frac{2}{3}}}$ Options:
  A) $\frac{1}{3}$
  B) 1
  C) 3
  D) 9
  Show Answer
  The correct answer is B .
• Question 724:

  If a car runs at a constant speed and takes 4.5 hrs to run a distance of 225 km, what time will ittake to run 150 km?

  Options:
  A) 2 hrs
  B) 4 hrs
  C) 3 hrs
  D) 1 hr
  Show Answer
  The correct answer is C .
• Question 725: Find the Iength of a diagonal of a square whose area is 288cm². Options:
  A) 24cm
  B) 48cm
  C) 95cm
  D) 100cm
  E) 124cm
  Show Answer
  The correct answer is A .
• Question 726:

  Add 54 ${}_{eight}$ and 67${}_{eight}$ giving your answers in base eight

  Options:
  A) 111
  B) 121
  C) 123
  D) 143
  Show Answer
  The correct answer is D .
• Question 727: 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 728: If p : q = $\frac{2}{3}$ : $\frac{5}{6}$ and q : r = $\frac{3}{4}$ : $\frac{1}{2}$, find p : q : r Options:
  A) 12 : 15 : 10
  B) 12 : 15 : 16
  C) 10 : 15 : 24
  D) 9 : 10 : 15
  Show Answer
  The correct answer is A .
• Question 729: Write the equation 2 log₂x - x log₂(1 + y) = 3 in a form not involving logarithms Options:
  A) 2^x(1 + y) = 3
  B) 2^x - x(1 + y) = 8
  C) x² = 8(1 + y)^x
  D) x² - x(1 + y) = 8
  E) x² - (1 + y)² = 8
  Show Answer
  The correct answer is C .
• Question 730: If sec² $\theta$ + tan² $\theta$ = 3, then the angle $\theta$ is equal to Options:
  A) 30${}^{\circ }$
  B) 45${}^{\circ }$
  C) 60${}^{\circ }$
  D) 90${}^{\circ }$
  E) 105${}^{\circ }$
  Show Answer
  The correct answer is B .