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 581: Simplify $[1÷(x^2+3x+2)]+[1÷(x^2+5x+6)]$ Options:
  A) $\frac{2}{(x+1{)}^2}$
  B) $\frac{2}{(x+1)(x+2}$
  C) $\frac{2}{(x+1)(x+2}$
  D) $\frac{2}{(x+1)(x+3}$
  Show Answer
  The correct answer is D .
• Question 582:

  

  Find the value of $\theta$ in the diagram

  Options:
  A) 60${}^{\circ }$
  B) 100${}^{\circ }$
  C) 120${}^{\circ }$
  D) 30${}^{\circ }$
  Show Answer
  The correct answer is C .
• Question 583:

  Let a binary operation '*' be defined on a set A. The operation will be commutative if

  Options:
  A) a*b = b*a
  B) (a*b)*c = a*(b*c)
  C) (b ο c)*a = (b*a) ο (c*a)
  D) None of the above
  Show Answer
  The correct answer is A .
• Question 584: Factorize completely 81a⁴ - 16b⁴ Options:
  A) (3a + 2b)(2a - 3b)(9a² + 4b²)
  B) (3a - 2b)(2a - 3b)(4a² - 9b²)
  C) (3a - 2b)(3a - 2b)(9a² - 4b²)
  D) (6a - 2b)(8a - 3b)(4a³ - 9b²)
  Show Answer
  The correct answer is C .
• Question 585: The difference between the length and width of a rectangle is 6cm and the area is 135cm². What is the length? Options:
  A) 25cm
  B) 18cm
  C) 15cm
  D) 24cm
  E) 27cm
  Show Answer
  The correct answer is C .
• Question 586: Find the derivative of y = sin²(5x) with respect to x. Options:
  A) 10 sin 5x cos 5x
  B) 5 sin5x cos 5x
  C) 2 sin 5x cos 5x
  D) 15 sin 5x cos 5x
  Show Answer
  The correct answer is A .
• Question 587:

  $\begin{array}{ccccccc}\text{Numbers}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 18& 22& 20& 16& 10& 14\end{array}$

  The table above represents the outcome of throwing a die 100 times. What is the probability of obtaining at least a 4?

  Options:
  A) $\frac{1}{5}$
  B) $\frac{1}{2}$
  C) $\frac{2}{5}$
  D) $\frac{3}{4}$
  Show Answer
  The correct answer is C .
• Question 588: Find the sum of the 20 term in an arithmetic progression whose first term is 7 and last term is 117 Options:
  A) 2480
  B) 1240
  C) 620
  D) 124
  Show Answer
  The correct answer is B .
• Question 589: Write the decimal number 39 to base 2 Options:
  A) 10011 base 2
  B) 110111 base 2
  C) 111001 base 2
  D) 100101 base 2
  E) 19.5 base 2
  Show Answer
  The correct answer is A .
• Question 590: Udoh deposited ₦150.00 in the bank. At the end of 5 years the simple interest on the principal was ₦55.00. At what rate per annum was the interest paid? Options:
  A) 11%
  B) 7$\frac{1}{3}$%
  C) 5
  D) 3$\frac{1}{2}$%
  Show Answer
  The correct answer is B .