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 271: The variance of the scores 1, 2, 3, 4, 5 is Options:
  A) 1.25
  B) 1.40
  C) 2.05
  D) 3.00
  Show Answer
  The correct answer is C .
• Question 272: A predator moves in a circle of radius √2 centre (0,0), while a prey moves along the line y = x. If 0 $\le$ x $\le$ 2, at which point(s) will they meet? Options:
  A) (1,1) only
  B) (1,1) and (1,2)
  C) (0,0) and (1,1)
  D) (√2,√2) only
  Show Answer
  The correct answer is A .
• Question 273: Find the two values of y which satisfy the simultaneous equation 3x + y = 8, x² + xy = 6 Options:
  A) -1 and 5
  B) -5 and 1
  C) 1 and 5
  D) 1 and 1
  Show Answer
  The correct answer is A .
• Question 274: Find the inverse $\left|\begin{array}{cc}5& 3\\ 6& 4\end{array}\right|$ Options:
  A) $\left|\begin{array}{cc}2& -\frac{3}{2}\\ -3& -\frac{5}{2}\end{array}\right|$
  B) $\left|\begin{array}{cc}2& -\frac{3}{2}\\ -3& \frac{5}{2}\end{array}\right|$
  C) $\left|\begin{array}{cc}2& \frac{3}{2}\\ -3& \frac{5}{2}\end{array}\right|$
  D) $\left|\begin{array}{cc}2& \frac{3}{2}\\ -3& \frac{5}{2}\end{array}\right|$
  Show Answer
  The correct answer is B .
• Question 275: Musa borrows ₦10.00 at 2% per month simple interest and repays ₦8.00 after 4 months. How much does he still owe Options:
  A) ₦10.80
  B) ₦10.67
  C) ₦2.80
  D) ₦2.67
  Show Answer
  The correct answer is C .
• Question 276: 7 pupils of average age 12 years leave a class of 25 pupils of average age 14 years. If 6 new pupils of average age of 11 years join the class, what is the average age of the pupils now in the class? Options:
  A) 13 years
  B) 12 years 7$\frac{1}{2}$ months
  C) 13 years 5 months
  D) 13 years 10 months
  E) 11 years
  Show Answer
  The correct answer is D .
• Question 277: If $\sqrt{x^2+9}$ = x + 1, solve for x Options:
  A) 5
  B) 4
  C) 3
  D) 2
  E) 1
  Show Answer
  The correct answer is B .
• Question 278:

  Find the value of x at the minimum point of the curve y = x³ + x² - x + 1

  Options:
  A) $\frac{1}{3}$
  B) -$\frac{1}{3}$
  C) 1
  D) -1
  Show Answer
  The correct answer is A .
• Question 279: A binary operation $\oplus$ is defines on the set of all positive integers by a $\oplus$ b = ab for all positive integers a, b. Which of the following properties does NOT hold? Options:
  A) closure
  B) identity
  C) positive
  D) inverse
  Show Answer
  The correct answer is D .
• Question 280: Factorize 6^{2x + 1} + 7(6^x) - 5 Options:
  A) [3(6^x) - 5][2(6^x)m + 1]
  B) [3(6^x) + 5][2(6^x) - 1]
  C) [(6^x) - 5][3(6^x) + 1]
  D) [2(6^x) + 5][3(6^x) - 1]
  Show Answer
  The correct answer is B .