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: Solve the equation cos x + sin x $\frac{1}{cosx-sinx}$ for values of such that 0 $\le$ x < 2$\pi$. Options:
  A) $\frac{\pi }{2}$, $\frac{3\pi }{2}$
  B) $\frac{\pi }{3}$, $\frac{2\pi }{3}$
  C) 0, $\frac{\pi }{3}$
  D) 0, $\pi$
  Show Answer
  The correct answer is D .
• Question 12: Two distinct sectors in the same circle subtend 100${}^{\circ }$ and 30${}^{\circ }$ respectively at the centre of the circle. Their corresponding arcs are in the ratio
  Options:
  A) 1:100
  B) 3:1
  C) 5:2
  D) 10:3
  E) 13:30
  Show Answer
  The correct answer is D .
• Question 13: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D .
• Question 14: Three boys shared some oranges. The first received ¹/₃ of the oranges and the second received ²/₃ of the remaining. If the third boy received the remaining 12 oranges, how many oranges did they share Options:
  A) 60
  B) 54
  C) 48
  D) 42
  Show Answer
  The correct answer is B .
• Question 15: If P = $\left(\begin{array}{cc}2& -3\\ 1& 1\end{array}\right)$ Options:
  A) $\left(\begin{array}{cc}-\frac{1}{5}& -\frac{3}{5}\\ -\frac{1}{5}& -\frac{2}{5}\end{array}\right)$
  B) $\left(\begin{array}{cc}\frac{1}{5}& \frac{3}{5}\\ \frac{1}{5}& \frac{2}{5}\end{array}\right)$
  C) $\left(\begin{array}{cc}-\frac{1}{5}& \frac{3}{5}\\ -\frac{1}{5}& \frac{2}{5}\end{array}\right)$
  D) $\left(\begin{array}{cc}\frac{1}{5}& \frac{3}{5}\\ -\frac{1}{5}& \frac{2}{5}\end{array}\right)$
  Show Answer
  The correct answer is D .
• Question 16: Find the acute angle between the straight lines y = x and y = √3x Options:
  A) 15${}^{\circ }$
  B) 30${}^{\circ }$
  C) 45${}^{\circ }$
  D) 60${}^{\circ }$
  Show Answer
  The correct answer is A .
• Question 17: x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2? Options:
  A) 2.5
  B) 5
  C) 6.25
  D) 6.52
  E) 7.5
  Show Answer
  The correct answer is C .
• Question 18: Simplify (√0.7 + √70)² Options:
  A) 84.7
  B) 70.7
  C) 217.7
  D) 168.7
  Show Answer
  The correct answer is A .
• Question 19: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 20:

  

  In the figure, find the area of XYZW.

  Options:
  A) 60cm²
  B) 54cm²
  C) 27cm²
  D) 54$\sqrt{2}$cm²
  E) 27$\sqrt{2}$cm²
  Show Answer
  The correct answer is C .