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 61: If P = 18, Q = 21, R = -6 and S = -4, Calculate $\frac{(P-Q{)}^3+S^2}{R^3}$ + S² Options:
  A) $\frac{-11}{216}$
  B) $\frac{11}{216}$
  C) $\frac{-43}{116}$
  D) $\frac{43}{116}$
  Show Answer
  The correct answer is B .
• Question 62: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 63:

  Convert 0.04945 to two significant figures

  Options:
  A) 0.040
  B) 0.049
  C) 0.050
  D) 0.49
  Show Answer
  The correct answer is B .
• Question 64: In a class of 150 students, the sector in a pie chart representing the students offering Physics has angle 12^o. How many students are offering Physics? Options:
  A) 18
  B) 15
  C) 10
  D) 5
  Show Answer
  The correct answer is D .
• Question 65: Five people are to be arranged in a row for a group photograph. How many arrangements are the if a married couple in the group insist on sitting next to each other? Options:
  A) 48
  B) 24
  C) 20
  D) 10
  Show Answer
  The correct answer is C .
• Question 66: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 67:

  A binary operation on the set of real numbers excluding -1 is such that sor all m, n $\epsilon$ R, m $\mathrm{\Delta }$ n = m + n + mn. Find the identity element of the operation.

  Options:
  A) 1
  B) -$\frac{1}{2}$
  C) -1
  D) 0
  Show Answer
  The correct answer is D .
• Question 68: If the sum of the first two terms of a G.P. is 3, and the sum of the second and the third terms is -6, find the sum of the first term and the common ratio Options:
  A) -2
  B) -3
  C) -5
  D) 5
  Show Answer
  The correct answer is C .
• Question 69:

  Determine the mean monthly salary of 50 employees of a company from the following frequency distribution.

  $\begin{array}{cc}\text{Monthly salary}& \text{Frequency}\\ N200.00& 10\\ N325.00& 5\\ N100.00& 20\\ N120.00& 2\\ N60.00& 10\\ N80.00& 3\end{array}$

  Options:
  A) ₦215.30
  B) ₦134.10
  C) ₦143.10
  D) ₦80.00
  E) ₦50.30
  Show Answer
  The correct answer is B .
• Question 70: 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 .