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 771: Simplify $\frac{lo{g}_{10}8}{lo{g}_{10}4}$ Options:
  A) log10²
  B) log10⁴
  C) $\frac{3}{2}$
  D) 2
  E) None of the above
  Show Answer
  The correct answer is C .
• Question 772: If 2log₃ y + log₃ x² = 4, then y is Options:
  A) 4 - log₃
  B) $\frac{4}{lo{g}_{3}x}$
  C) $\frac{4}{x}$
  D) $\pm$ $\frac{9}{x}$
  Show Answer
  The correct answer is D .
• Question 773: 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 774: if P and Q are fixed points and X is a point which moves so that XP = XQ, the locus of X is Options:
  A) A straight line
  B) a circle
  C) the bisector of angle PXQ
  D) the perpendicular bisector of PQ
  Show Answer
  The correct answer is D .
• Question 775: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .
• Question 776: the derivative of cosec x is Options:
  A) tan x cosec x
  B) -cot x cosec x
  C) tan x sec x
  D) -cot x sec x
  Show Answer
  The correct answer is B .
• Question 777: In proving the congruence of two triangles, which of the following is not important? Options:
  A) two sides and the included angles
  B) two angles and a side
  C) three sides
  D) three angles
  E) right angle, hypotenuse and another side
  Show Answer
  The correct answer is B .
• Question 778: 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 779:

  $\begin{array}{cccccc}\text{Age in years}& 13& 14& 15& 16& 17\\ \text{No. of students}& 3& 10& 30& 42& 15\end{array}$

  The frequency distribution above shows the ages of students in a secondary school. In a pie chart constructed to represent the data, the angles corresponding to the 15 years old is

  Options:
  A) 27^o
  B) 30^o
  C) 54^o
  D) 108^o
  Show Answer
  The correct answer is D .
• Question 780:

  Simplify $\frac{0.026\times 0.36}{0.69}$. Leave your answer in standard form.

  Options:
  A) 1.36 x 10^-4
  B) 1.36 x 10^-3
  C) 1.36 x 10^-1
  D) 1.36 x 10^-2
  Show Answer
  The correct answer is D .