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 561: If y = (1 + x)², find $\frac{dy}{dx}$ Options:
  A) x - 1
  B) 2 + 2x
  C) 1 + 2x
  D) 2x - 1
  Show Answer
  The correct answer is B .
• Question 562:

  Factorize $a^2-b^2-4a+4$

  Options:
  A) (a + b)(a − b)
  B) (a − 2 + b)(a − 2 − b)
  C) (a + 1)(a − 2 + b)
  D) (a + b)²
  Show Answer
  The correct answer is B .
• Question 563:

  Find x if log${}_9$x = 1.5

  Options:
  A) 27
  B) 15
  C) 3.5
  D) 32
  Show Answer
  The correct answer is A .
• Question 564:

  Differentiate the function y = $\sqrt[3]{x^2}(2x-x^2)$

  Options:
  A) $\frac{dy}{dx}=\frac{10x^{5/3}}{3}-\frac{8x^{2/3}}{3}$
  B) $\frac{dy}{dx}=\frac{10x^{2/3}}{3}-\frac{8x^{5/3}}{3}$
  C) $\frac{dy}{dx}=\frac{10x^{5/3}}{3}-\frac{8x^{5/3}}{3}$
  D) $\frac{dy}{dx}=\frac{10x^{2/3}}{3}-\frac{8x^{2/3}}{3}$
  Show Answer
  The correct answer is B .
• Question 565: Simplify $\frac{1}{5x+5}$ + $\frac{1}{7x+7}$ Options:
  A) $\frac{12}{35x+1}$
  B) $\frac{1}{35(x+1)}$
  C) $\frac{12x}{35(x+7)}$
  D) $\frac{12}{35x+35}$
  Show Answer
  The correct answer is A .
• Question 566:

  $\begin{array}{cccccc}\text{Marks}& 1& 2& 3& 4& 5\\ \text{Frequency}& 2& 2& 8& 4& 4\end{array}$

  The table above shows the marks obtained in a given test. Find the mean mark.

  Options:
  A) 3.1
  B) 3.0
  C) 3.3
  D) 3.2
  Show Answer
  The correct answer is C .
• Question 567: In a family of 21 people, the average age is 14years. If the age of the grandfather is not counted, the average age drops to 12 years. What is the age of the grandfather? Options:
  A) 35 years
  B) 40 years
  C) 42 years
  D) 54 years
  Show Answer
  The correct answer is D .
• Question 568: The first term of an Arithmetic progression is 3 and the fifth term is 9. Find the number of terms in the progression if the sum is 81 Options:
  A) 12
  B) 27
  C) 9
  D) 4
  E) 36
  Show Answer
  The correct answer is C .
• Question 569: If x = (all prime factors of 44) and y = (all prime factors of 60), the elements of X ∪ Y and X ∩ Y respectively are Options:
  A) (2, 4, 3, 5, 11) and (4)
  B) (4, 3, 5, 11) and (3, 4)
  C) (2, 5, 11) and (2)
  D) (2, 3, 5, 11) and (2)
  Show Answer
  The correct answer is D .
• Question 570: If m:n = 13:111, find m² - n² : (m + n)² Options:
  A) 1:11
  B) 1:13
  C) 1:10
  D) 1:12
  Show Answer
  The correct answer is D .