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 1191: 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 1192: Evaluate ∫sin 3x dx Options:
  A) (2/3) cos 3x + c
  B) (1/3) cos 3x + c
  C) (-1/3) cos 3x + c
  D) (-2/3) cos 3x + c
  Show Answer
  The correct answer is C .
• Question 1193:

  Given that $\theta$ is an acute angle and sin $\theta$ = $\frac{m}{n}$, find cos $\theta$

  Options:
  A) $\frac{\sqrt{n^2-m^2}}{m}$
  B) $\frac{\sqrt{(n+m)(n-m)}}{n}$
  C) $\frac{m}{\sqrt{n^2-m^2}}$
  D) $\sqrt{\frac{n}{n^2-m^2}}$
  Show Answer
  The correct answer is B .
• Question 1194: A ship sails a distance of 50km in the direction S50°E and then sails a distance of 50km in the direction ₦40°E. FInd the bearing of the ship from the original position. Options:
  A) S90°E
  B) ₦40°E
  C) S95°E
  D) ₦85°E
  Show Answer
  The correct answer is D .
• Question 1195: If x, y can take values from the set (1, 2, 3, 4), find the probability that the product of x and y is not greater than 6 Options:
  A) $\frac{5}{8}$
  B) $\frac{5}{16}$
  C) $\frac{1}{2}$
  D) $\frac{3}{8}$
  Show Answer
  The correct answer is A .
• Question 1196: If x = $\left(\begin{array}{cc}1& 2\\ 0& 3\end{array}\right)$ and y = $\left(\begin{array}{cc}2& 1\\ 4& 3\end{array}\right)$. Find xy. Options:
  A) $\left(\begin{array}{cc}10& 7\\ 12& 9\end{array}\right)$
  B) $\left(\begin{array}{cc}2& 7\\ 4& 17\end{array}\right)$
  C) $\left(\begin{array}{cc}10& 4\\ 4& 6\end{array}\right)$
  D) $\left(\begin{array}{cc}4& 3\\ 10& 9\end{array}\right)$
  Show Answer
  The correct answer is A .
• Question 1197: Solve the equation $y^2-11y+24=0$ Options:
  A) 8,3
  B) 4,9
  C) 6,4
  D) 9,-8
  Show Answer
  The correct answer is A .
• Question 1198: If M represents the median and D the mode of the measurements 5, 9, 3, 5, 8 then (M, D) is Options:
  A) (6, 5)
  B) (5, 8)
  C) (5, 7)
  D) (5, 5)
  E) (7, 5)
  Show Answer
  The correct answer is D .
• Question 1199: A trader in country where their currency 'MONI'(M) is in base five bought 103₅ oranges at M14₅ each. If he sold the oranges at M24₅ each, what will be his gain? Options:
  A) 103₅
  B) 1030₅
  C) 102₅
  D) 2002₅
  E) 3032₅
  Show Answer
  The correct answer is B .
• Question 1200: Five years ago, a father was 3 times as old as his son, now their combined ages amount to 110years. thus, the present age of the father is Options:
  A) 75 years
  B) 60 years
  C) 98 years
  D) 80 years
  E) 105 years
  Show Answer
  The correct answer is D .