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 1511: A bag contains 4 blue and 8 red identical balls. If two balls are picked at random with replacement, what is the probability of picking two balls of different colours? Options:
  A) 1
  B) $\frac{13}{26}$
  C) $\frac{5}{18}$
  D) $\frac{4}{9}$
  E) $\frac{2}{9}$
  Show Answer
  The correct answer is D .
• Question 1512: If 3x - $\frac{1}{4}$^{-$\frac{1}{2}$} > $\frac{1}{4}$ - x, then the interval of values of x is
  Options:
  A) x > $\frac{1}{3}$
  B) x < $\frac{1}{3}$
  C) x < $\frac{1}{4}$
  D) x < $\frac{9}{16}$
  E) x > $\frac{9}{16}$
  Show Answer
  The correct answer is E .
• Question 1513: A polynomial in x whose zeros are -2, -1 and 3 is Options:
  A) x³ - 7x + 6
  B) x³ + 7x - 6
  C) x³ + 7x + 6
  D) x³ - 7x - 6
  Show Answer
  The correct answer is D .
• Question 1514:

  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 1515: Find the values of x for which the expression $\frac{(x-3)(x-2)}{x^2+x-2}$ Options:
  A) 1, -2
  B) -1, 2
  C) 2, 3
  D) -1. -2
  E) -2, -3
  Show Answer
  The correct answer is A .
• Question 1516: Find the mean deviation of 2, 4, 5, and 9 Options:
  A) 1
  B) 2
  C) 5
  D) 7
  Show Answer
  The correct answer is B .
• Question 1517: The solutions of x² - 2x - 1 = 0 are the points of intersection of two graphs. if one of the graphs is y = 2 + x - x², find the second graph Options:
  A) y = 1 - x
  B) y = 1 + x
  C) y = x - 1
  D) y = 3x + 3
  Show Answer
  The correct answer is A .
• Question 1518: 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 1519:

  Evaluate $\int x^2\text{Sin}x\mathrm{\Delta }x$

  Options:
  A) −Cos x + 2xSin x + C
  B) −Cos x + 2
  C) x²Cos x + 2xSin x + 2Cos x+ C
  D) −x²Cos x + 2xSinx + 2Cos x + C
  Show Answer
  The correct answer is D .
• Question 1520: Express $\frac{1}{x+1}$ - $\frac{1}{x-2}$ as a single algebraic fraction Options:
  A) $\frac{-3}{(x+1)(2-x)}$
  B) $\frac{3}{(x+1)(2-x)}$
  C) $\frac{-1}{(x+1)}$
  D) $\frac{1}{(x+1)(x-2)}$
  Show Answer
  The correct answer is A .