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 1731: 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 1732: 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 1733: Find the area of the sector of a circle with radius 3m, if the angle of the sector is 60^o Options:
  A) 4.0m²
  B) 1m²
  C) 4.7m²
  D) 5.0m²
  Show Answer
  The correct answer is C .
• Question 1734: Evaluate $\frac{2}{6-5\sqrt{3}}$ Options:
  A) $-(\frac{12}{39}-\frac{10\sqrt{3}}{39})$
  B) $\frac{12}{39}-\frac{10\sqrt{3}}{39}$
  C) $-(\frac{12}{39}+\frac{10\sqrt{3}}{39})$
  D) $\frac{12}{39}+\frac{10\sqrt{3}}{39}$
  Show Answer
  The correct answer is C .
• Question 1735: The probability that a student passes a physics test is $\frac{2}{3}$. If he takes three physics tests, what is the probability that he passes two of the tests? Options:
  A) $\frac{2}{27}$
  B) $\frac{3}{27}$
  C) $\frac{4}{27}$
  D) $\frac{5}{3}$
  Show Answer
  The correct answer is C .
• Question 1736: 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 1737: Simplify without using tables $\frac{lo{g}_{2}6}{lo{g}_{2}8}$ - $\frac{lo{g}_{2}3}{lo{g}_2\frac{1}{2}}$ Options:
  A) $\frac{1}{5}$
  B) $\frac{1}{2}$
  C) $\frac{-1}{2}$
  D) $\frac{lo{g}_{2}3}{lo{g}_{2}7}$
  Show Answer
  The correct answer is A .
• Question 1738: If $\frac{t}{1}$ = $\sqrt{(\frac{4{\pi }^2}{g}})$, what is the value of g when I = 4.5; t = 5 secs Options:
  A) 3.20 ms²
  B) 11.31 ms²
  C) 32.00 ms²
  D) 56.57 ms²
  E) 160.00 ms²
  Show Answer
  The correct answer is C .
• Question 1739: A solid cylinder of radius 3cm has a total surface area of 36$\pi$cm². Find its height Options:
  A) 2cm
  B) 3cm
  C) 4cm
  D) 5cm
  E) 6cm
  Show Answer
  The correct answer is B .
• Question 1740: If the mean of the following set of data, 2, 3,3,3, 2,4 4 and 3 is divided by its mode, the result is: Options:
  A) 1
  B) 2
  C) 3
  D) 5
  E) 8
  Show Answer
  The correct answer is A .