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 341: If a{$\frac{x+1}{x-2}-\frac{x-1}{x+2}$} = 6x. Find a in its simplest form Options:
  A) x² - 1
  B) x² + 1
  C) x² + 4
  D) x² - 4
  E) 1
  Show Answer
  The correct answer is D .
• Question 342: A man 1.7m tall observes a bird on top of a tree at an angle of 30⁰. if the distance between the man's head and the bird is 25m, what is the height of the tree? Options:
  A) 26.7m
  B) 14.2m
  C) $1.7+(25\frac{\sqrt{3}}{3}m$
  D) $1.7+(25\frac{\sqrt{2}}{2}m$
  Show Answer
  The correct answer is C .
• Question 343: Substract 16418₉ from 18630₉ Options:
  A) 1121₉
  B) 2112₉
  C) 2113₉
  D) 2211₉
  Show Answer
  The correct answer is D .
• Question 344: The gradient of the straight line joining the points P(5, -7) and Q(-2, -3) is Options:
  A) $\frac{1}{2}$
  B) $\frac{2}{5}$
  C) $-\frac{4}{7}$
  D) $-\frac{2}{3}$
  Show Answer
  The correct answer is C .
• Question 345: A bag contains 4 white balls and 6 red balls. Two balls are taken from the bag without replacement. What is the probability that they are both red? Options:
  A) $\frac{2}{3}$
  B) $\frac{2}{15}$
  C) $\frac{1}{2}$
  D) $\frac{1}{3}$
  Show Answer
  The correct answer is D .
• Question 346:

  

  In the diagram are two concentric circles of radii r and R respectively with centre O. If r = $\frac{2}{5}$R, express the area of the shaded portion in terms of $\pi$ and R

  Options:
  A) $\frac{5}{9}\pi R^2$
  B) $\frac{21}{25}\pi R^2$
  C) $\frac{21}{23}\pi R^2$
  D) $\frac{9}{25}\pi R^2$
  Show Answer
  The correct answer is B .
• Question 347: Find the mean deviation of 1, 2, 3 and 4. Options:
  A) 2.5
  B) 2.0
  C) 1.0
  D) 1.5
  E) 1.2
  Show Answer
  The correct answer is C .
• Question 348: The letters of the word MATRICULATION are cut and put into a box. One letter is drawn at random from the box. Find the probability of drawing a vowel Options:
  A) $\frac{7}{13}$
  B) $\frac{5}{13}$
  C) $\frac{6}{13}$
  D) $\frac{8}{13}$
  E) $\frac{4}{13}$
  Show Answer
  The correct answer is C .
• Question 349: If tan θ = ⁵/₄, find sin²θ - cos²θ. Options:
  A) ⁵/₄
  B) ⁴¹/₉
  C) ⁹/₄₁
  D) 1
  Show Answer
  The correct answer is C .
• Question 350: If log 3 = 0.4771 and log 2 = 0.3010, what is the value of log 12? Options:
  A) 0.0432
  B) 0.4322
  C) 1.0791
  D) 1.2552
  E) 1.5225
  Show Answer
  The correct answer is C .