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 1411: Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2950, find y. Options:
  A) 51
  B) 48
  C) 30
  D) 25
  E) 18
  Show Answer
  The correct answer is C .
• Question 1412: 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 11years join the class, what is the average age of the pupils now in the class? Options:
  A) 13years
  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 1413: Find the mean deviation of 20, 25, 21, 27, 28, 29, to the nearest whole number Options:
  A) 2
  B) 3
  C) 4
  D) 5
  E) 6
  Show Answer
  The correct answer is B .
• Question 1414: The area of a circle of radius 4cm is equal to (Take π = 3.142 ) Options:
  A) 10.3cm²
  B) 15.7cm²
  C) 50.3cm²
  D) 17.4cm²
  Show Answer
  The correct answer is C .
• Question 1415: A bag contains 16 red balls and 20 blue balls only. How many white balls must be added to the bag so that the probability of randomly picking a red ball is equal to $\frac{2}{5}$ Options:
  A) 4
  B) 20
  C) 24
  D) 40
  Show Answer
  The correct answer is A .
• Question 1416: P varies directly as the square of Q and inversely as R. If P = 36, when Q = 3 and R = 4, find P when Q = 5 and R = 2. Options:
  A) 72
  B) 100
  C) 90
  D) 200
  E) 125
  Show Answer
  The correct answer is D .
• Question 1417: Simplify $\frac{324-4x^2}{2x+18}$ Options:
  A) 2(x - 9)
  B) 2(9 + x)
  C) 81 - x²
  D) -2(x - 9)
  Show Answer
  The correct answer is D .
• Question 1418: Rationalize $\frac{2-\sqrt{5}}{3-\sqrt{5}}$ Options:
  A) $\frac{1-\sqrt{5}}{2}$
  B) $\frac{1-\sqrt{5}}{4}$
  C) $\frac{\sqrt{5}-1}{2}$
  D) $\frac{1+\sqrt{5}}{4}$
  Show Answer
  The correct answer is B .
• Question 1419: Simplify 3 log₆9 + log₆12 + log₆64 - log₆72 Options:
  A) 5
  B) 7776
  C) log₆31
  D) (7776)₆
  Show Answer
  The correct answer is A .
• Question 1420: If P = $\left|\begin{array}{cc}5& 3\\ 2& 1\end{array}\right|$ and Q = $\left|\begin{array}{cc}4& 2\\ 3& 5\end{array}\right|$, find 2P + Q Options:
  A) $\left|\begin{array}{cc}7& 7\\ 14& 8\end{array}\right|$
  B) $\left|\begin{array}{cc}14& 8\\ 7& 7\end{array}\right|$
  C) $\left|\begin{array}{cc}7& 7\\ 8& 14\end{array}\right|$
  D) $\left|\begin{array}{cc}8& 14\\ 7& 7\end{array}\right|$
  Show Answer
  The correct answer is B .