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 11: If two angles of a triangle are 30^o each and the longest side is 10cm. Calculate the length of each of the other sides Options:
  A) 5cm
  B) 4cm
  C) 3√3 cm
  D) 10$\frac{3}{3}$cm
  Show Answer
  The correct answer is D .
• Question 12: If a² + b² = 16 and 2ab = 7.Find all the possible values of (a - b) Options:
  A) 3, -3
  B) 2, -2
  C) 1, -1
  D) 3, -1
  Show Answer
  The correct answer is A .
• Question 13: 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 14:

  

  In the figure, PQ is parallel to SQ ; QS bisets < PSQ, < PQS is 65${}^{\circ }$ and < RPS is 20${}^{\circ }$. What is the size of < PRS?

  Options:
  A) 45${}^{\circ }$
  B) 35${}^{\circ }$
  C) 40${}^{\circ }$
  D) 30${}^{\circ }$
  E) 42${}^{\circ }$
  Show Answer
  The correct answer is D .
• Question 15: If $\left|\begin{array}{cc}x& 3\\ 2& 7\end{array}\right|$ = 15, find the value of x Options:
  A) 4
  B) 5
  C) 2
  D) 3
  Show Answer
  The correct answer is D .
• Question 16: A cylindrical pipe 50cm long with radius 7m has one end open. What is the total surface area of the pipe? Options:
  A) 749$\pi$m²
  B) 700$\pi$m²
  C) 350$\pi$m²
  D) 98$\pi$m²
  Show Answer
  The correct answer is A .
• Question 17: If (25)^{x - 1} = 64($\frac{5}{2}$)⁶, then x has the value Options:
  A) 7
  B) 4
  C) 32
  D) 64
  E) 5
  Show Answer
  The correct answer is B .
• Question 18: if P = {x : x is odd, $-1<x\le 20$} and Q is {y:y is prime, $-2<y\le 25$, find P $\cap$ Q. Options:
  A) {3,5,7,11,17,19}
  B) {3,5,11,13,17,19}
  C) {3,5,7,11,13,17,19}
  D) {2,3,5,7,11,13,17,19}
  Show Answer
  The correct answer is C .
• Question 19: If x is inversely proportional to y and x = 2$\frac{1}{2}$ when y = 2, find x if y = 4 Options:
  A) 4
  B) 5
  C) 1$\frac{1}{4}$
  D) 2$\frac{1}{4}$
  Show Answer
  The correct answer is C .
• Question 20: If the function f is defined by f(x + 2) = 2x² + 7x = 5, find f(-1) Options:
  A) -10
  B) -8
  C) 4
  D) 10
  Show Answer
  The correct answer is B .