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 741: 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 742: Given that p:q = $\frac{1}{3}$:$\frac{1}{2}$ and q:r = $\frac{2}{5}$, find p:r Options:
  A) 4:105
  B) 7:15
  C) 20:21
  D) 2:35
  E) 3:20
  Show Answer
  The correct answer is C .
• Question 743: If three numbers P, Q, R are in ratio 6 : 4 : 5, find the value of $\frac{3p-q}{4q+r}$ Options:
  A) $\frac{3}{2}$
  B) $\frac{2}{3}$
  C) 2
  D) 3
  E) 18
  Show Answer
  The correct answer is B .
• Question 744: The radius of a circle is increasing at the rate of 0.02cms^-1. Find the rate at which the area is increasing when the radius of the circle is 7cm. Options:
  A) 0.75cm²S^-1
  B) 0.53cm²S^-1
  C) 0.35cm²S^-1
  D) 0.88cm²S^-1
  Show Answer
  The correct answer is D .
• Question 745: If the gradient of the curve y = 2kx² + x + 1 at x = 1 is 9, find k. Options:
  A) 4
  B) 3
  C) 2
  D) 1
  Show Answer
  The correct answer is C .
• Question 746:

  A ship sets sail from port A (86${}^o$N, 56${}^o$W) for port B (86${}^o$N, 64${}^o$W), which is close by. Find the distance the ship covered from port A to port B, correct to the nearest km.

  [Take $\pi$= 3.142 and R = 6370 km]

  Options:
  A) 62 km
  B) 97 km
  C) 389 km
  D) 931 km
  Show Answer
  The correct answer is A .
• Question 747:

  If x = {n²+1:n is a positive integer and 1 $\le$ n $\le$ 5}, y = {5n:n is a positive integer and 1 $\le$ n $\le$ 5}, find x $\cap$ y.

  Options:
  A) {5,10}
  B) {5, 10, 15}
  C) {2, 5, 10}
  D) {5, 10, 15, 20}
  Show Answer
  The correct answer is A .
• Question 748: The 4th term of an A.P. is 13 while the 10th term is 31. Find the 24th term. Options:
  A) 89
  B) 75
  C) 73
  D) 69
  Show Answer
  The correct answer is C .
• Question 749: The number of telephone calls N between two cities A and B varies directly as the population P_A, P_B respectively and inversely as the square of the distance D between A and B. Which of the following equations represents this relation? Options:
  A) N = $\frac{k{p}_A}{D^2}+c{p}_B{D}^2$
  B) N = $\frac{k{p}_A{P}_B}{D^2}$
  C) N = $\frac{k{D}_A{P}_D}{B^2}$
  D) N = $\frac{k{D}_A^2{P}_D}{B}$
  Show Answer
  The correct answer is B .
• Question 750: Two parallel chords of a circle are respectively 46cm and 40cm long. If the radius of the circle is 25cm and the centre of the circle lies between the two chords, what is the distance between the chords? Options:
  A) 7cm
  B) 15cm
  C) 22cm
  D) 26cm
  E) 30cm
  Show Answer
  The correct answer is C .