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 321: Solve the equation for the positive values of $\theta$ less than 360^o. 3 tan $\theta$ + 2 = -1 Options:
  A) 135^o or 315^o
  B) 45^o or 135^o
  C) 315^o or 180^o
  D) 315v + 45^o
  E) 360^o or 315^o
  Show Answer
  The correct answer is A .
• Question 322: A hollow right prism of equilateral triangular base of side 4cm is filled with water up to a certain height. If a sphere of radius $\frac{1}{2}$cm is immersed in the water, then the rise of water is Options:
  A) 1cm
  B) $\sqrt{\frac{3\pi }{24}}$
  C) $\frac{\pi }{24\sqrt{3}}$
  D) 24$\sqrt{3}$
  Show Answer
  The correct answer is C .
• Question 323: An operation * is defined on the set of real numbers by a * b = ab + 2(a + b + 1). find the identity elements Options:
  A) 2
  B) 1
  C) -1
  D) -2
  Show Answer
  The correct answer is C .
• Question 324: Evaluate $\frac{({81}^{\frac{3}{4}}-{27}^{\frac{1}{3}})}{3\times 2^3}$ Options:
  A) 3
  B) 1
  C) 1/3
  D) 1/8
  Show Answer
  The correct answer is B .
• Question 325:

  

  In a class of 60 pupils, the statistical distribution of the numbers of pupils offering Biology, History, French, Geography and Additional mathematics is as shown in the pie chart. How many pupils offer Additional Mathematics?

  Options:
  A) 15
  B) 10
  C) 18
  D) 12
  E) 20
  Show Answer
  The correct answer is B .
• Question 326: Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis. Options:
  A) 81 π cubic units
  B) 36 π cubic units
  C) 18 π cubic units
  D) 9 π cubic units
  Show Answer
  The correct answer is B .
• Question 327:

  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 328: The chances of Usman and Dele passing a Mathematics test are 12 and 13 respectively. What is the probability that neither of them passes the test? Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{4}{15}$
  D) $\frac{1}{5}$
  E) $\frac{2}{15}$
  Show Answer
  The correct answer is C .
• Question 329: A straight lie y = mx meets the curve y = x² - 12x + 40 in two distinct points. If one of them is (5, 5) find the other Options:
  A) (5, 6)
  B) (8, 8)
  C) (8, 5)
  D) (7,7)
  E) (7, 5)
  Show Answer
  The correct answer is E .
• Question 330:

  Factorize 2t² + t - 15

  Options:
  A) (t + 3)(2t - 5)
  B) (2t + 3)(t - 5)
  C) (2t - 3)(t + 5)
  D) (t + 3)(t - 5)
  Show Answer
  The correct answer is A .