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 371: In a right angled triangle, if tan $\theta$ = $\frac{3}{4}$. What is cos$\theta$ - sin$\theta$? Options:
  A) $\frac{2}{3}$
  B) $\frac{3}{5}$
  C) $\frac{1}{5}$
  D) $\frac{4}{5}$
  Show Answer
  The correct answer is C .
• Question 372:

  If w varies inversely as $\frac{ur}{u+r}$ and is equal to 8 when u = 2 and r = 6, find a relationship between u, v, w.

  Options:
  A) urw = 16(u + v)
  B) 16ur = 3w(u + v)
  C) urw = 12(u + v)
  D) 12urw = u + v
  Show Answer
  The correct answer is C .
• Question 373: In $△$ XYZ, XY = 13cm, YZ = 9cm, XZ = 11cm and XYZ = $\theta$. Find cos$\theta$^o Options:
  A) $\frac{4}{39}$
  B) $\frac{43}{39}$
  C) $\frac{209}{3}$
  D) $\frac{43}{78}$
  Show Answer
  The correct answer is D .
• Question 374:

  If y = x² - x - 12, find the range of values of x for which y $\ge$ 0,

  Options:
  A) -3 $<$ x $\le$ 4
  B) x $<$ -3 or x $>$ 4
  C) -3 $\le$ x $\le$ 4
  D) x $\le$ -3 or x $\ge$ 4
  Show Answer
  The correct answer is C .
• Question 375: Find y, if $\sqrt{12}-\sqrt{147}$ + y$\sqrt{3}$ = 0 Options:
  A) 3
  B) 7
  C) 1
  D) 5
  Show Answer
  The correct answer is D .
• Question 376: The probabilities that a man and his wife live for 80 years are $\frac{2}{3}$ and $\frac{3}{5}$ respectively. Find the probability that at least one of them will live up to 80 years Options:
  A) $\frac{2}{15}$
  B) $\frac{3}{15}$
  C) $\frac{7}{15}$
  D) $\frac{13}{15}$
  Show Answer
  The correct answer is D .
• Question 377: Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 10, 9, 7, 10, 6, 5 Options:
  A) 16
  B) 14
  C) 12
  D) 10
  Show Answer
  The correct answer is A .
• Question 378: Find the variance of 2, 6, 8, 6, 2 and 6 Options:
  A) 6
  B) 5
  C) √6
  D) √5
  Show Answer
  The correct answer is B .
• Question 379:

  Evaluate $\frac{x{y}^2-x^{2}y}{x^2-x{y}^1}$, when x = -2 and y = 2

  Options:
  A) 3
  B) -$\frac{3}{5}$
  C) $\frac{3}{5}$
  D) -3
  Show Answer
  The correct answer is D .
• Question 380: A binary operation * is defined by a*b = a^b. If a*2 = 2-a, find the possible values of a. Options:
  A) 1, -1
  B) 1, 2
  C) 2, -2
  D) 1, -2
  Show Answer
  The correct answer is D .