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 1631: Solve for x and y in the equations below
  x² - y² = 4
  x + y = 2 Options:
  A) x = 0, y = -2
  B) x = 0, y = 2
  C) x = 2, y = 0
  D) x = -2, y = 0
  Show Answer
  The correct answer is C .
• Question 1632: A triangle has angles 30${}^{\circ }$, 15${}^{\circ }$ and 135${}^{\circ }$. The side opposite to the angle 30${}^{\circ }$ is length 6cm. The side opposite to the angle 135${}^{\circ }$ is equal to Options:
  A) 12cm
  B) 6cm
  C) 6$\sqrt{2}$cm
  D) 12$\sqrt{2}$cm
  Show Answer
  The correct answer is C .
• Question 1633: The mean age of a group of students is 15 years. When the age of a teacher, 45 years old, is added to the age of the students, the mean of their ages becomes 18 years. Find the number of the students in the group Options:
  A) 9
  B) 7
  C) 42
  D) 15
  Show Answer
  The correct answer is A .
• Question 1634: a binary operation $\oplus$ o the set of rational numbers is defined as x $\oplus$ y = $\frac{x^2-y^2}{2xy}$. Find -5 $\oplus$ 3 Options:
  A) $\frac{8}{15}$
  B) -$\frac{17}{15}$
  C) $\frac{17}{15}$
  D) $\frac{8}{-15}$
  Show Answer
  The correct answer is D .
• Question 1635: Evaluate $\frac{0.00000231}{0.007}$ and leave the answer in standard form Options:
  A) 3.3 x 10⁴
  B) 3.3 x 10^-3
  C) 3.3 x 10^-4
  D) 3.3 x 10^-8
  Show Answer
  The correct answer is C .
• Question 1636:

  Solve for x in $\frac{4x-6}{3}\le \frac{3+2x}{2}$

  Options:
  A) $x\le 1\frac{1}{2}$
  B) $x\le \frac{21}{2}$
  C) $x\ge \frac{21}{2}$
  D) $x\ge 1\frac{1}{2}$
  Show Answer
  The correct answer is B .
• Question 1637:

  $\begin{array}{cccc}\text{Class Interval}& Frequency& \text{Class boundaries}& \text{Class Mid-point}\\ 1.5-1.9& 2& 1.45-1.95& 1.7\\ 2.0-2.4& 21& 1.95-2.45& 2.2\\ 2.5-2.9& 4& 2.45-2.95& 2.7\\ 3.0-2.9& 15& 2.95-3.45& 3.2\\ 3.5-3.9& 10& 3.45-3.95& 3.7\\ 4.0-4.4& 5& 3.95-4.45& 4.2\\ 4.5-4.9& 3& 4.45-4.95& 4.7\end{array}$

  Find the mode of the distribution above to find the mode of the distribution.

  Options:
  A) 3.2
  B) 3.3
  C) 3.7
  D) 4.2
  Show Answer
  The correct answer is B .
• Question 1638:

  Evaluate: ${\int }_0^z(sinx-cosx)dx$
  Where $z=\frac{\pi }{4}.(\pi =pi)$

  Options:
  A) $\sqrt{2+1}$
  B) $\sqrt{2}-1$
  C) $-\sqrt{2}-1$
  D) $1-\sqrt{2}$
  Show Answer
  The correct answer is B .
• Question 1639:

  Find the range of these fractions:

  1/6, 1/3, 3/2, 2/3, 8/9 and 4/3.

  Options:
  A) 3/4
  B) 5/6
  C) 7/6
  D) 4/3
  Show Answer
  The correct answer is D .
• Question 1640:

  

  The bar chart shows different colours of cars passing a particular point of a certain street in two minutes. What fraction of the cars is yellow

  Options:
  A) $\frac{1}{5}$
  B) $\frac{2}{25}$
  C) $\frac{4}{15}$
  D) $\frac{3}{25}$
  Show Answer
  The correct answer is D .