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 711: 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 712: The ratio of the areas of similar triangles is necessarily equal to Options:
  A) the ratio of the corresponding sides
  B) the ratio of the squares on corresponsing sides
  C) the ratio of the corresponding heights of the triangles
  D) half the ratio of the corresponding heights of the triangles
  E) the ratio of the corresponding bases to the heights of the triangles
  Show Answer
  The correct answer is C .
• Question 713: Find the derivative of $y=\frac{x^7-x^5}{x^4}$ Options:
  A) x(x²-1)
  B) 3x(x²-1)
  C) 3x²-1
  D) 7x⁶-5x⁴
  Show Answer
  The correct answer is C .
• Question 714:

  If P varies inversely as the square root of q, where p = 3 and q = 16, find the value of q when p = 4.

  Options:
  A) 12
  B) 8
  C) 9
  D) 16
  Show Answer
  The correct answer is C .
• Question 715:

  $\begin{array}{cccccc}\text{Class Intervals}& 0-2& 3-5& 6-8& 9-11& \\ \text{Frequency}& 3& 2& 5& 3& \end{array}$

  Find the mode of the above distribution.

  Options:
  A) 9
  B) 8
  C) 10
  D) 7
  Show Answer
  The correct answer is D .
• Question 716:

  A box contains two red balls and four blue balls. A ball is drawn at random from the box and then replaced before a second ball is drawn. Find the probability of drawing two red balls.

  Options:
  A) $\frac{2}{3}$
  B) $\frac{1}{3}$
  C) $\frac{1}{4}$
  D) $\frac{1}{9}$
  Show Answer
  The correct answer is D .
• Question 717: If the 3rd and the 5th terms of an A.P are 6 and 10 respectively, find the 1st term and the common difference respectively. Options:
  A) 1, 2
  B) 2, 2
  C) 2, 3
  D) 3, 2
  E) 3,3
  Show Answer
  The correct answer is B .
• Question 718: Find the remainder when X³ - 2X² + 3X - 3 is divided by X² + 1 Options:
  A) 2X - 1
  B) X + 3
  C) 2X + 1
  D) X - 3
  Show Answer
  The correct answer is A .
• Question 719: The factors of 6x - 5 - x² are Options:
  A) -(x + 3)(x + 2)
  B) (x + 5)(x + 1)
  C) (x - 5)(1 - x)
  D) (x + 5)(x + 50
  Show Answer
  The correct answer is C .
• Question 720:

  

  Use the cumulative frequency curve to answer the question.
  What is the 80th percentile?

  Options:
  A) 45.5
  B) 46.5
  C) 47.5
  D) 48.5
  Show Answer
  The correct answer is C .