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 461: Simplify $\frac{\sqrt{1+x}+\sqrt{x}}{\sqrt{1+x}-\sqrt{x}}$ Options:
  A) -2x - 2$\sqrt{x(1+x)}$
  B) 1 + 2x + 2$\sqrt{x(1+x)}$
  C) $\sqrt{x(1+x)}$
  D) 1 + 2x - 2$\sqrt{x(1+x)}$
  Show Answer
  The correct answer is B .
• Question 462:

  Find the probability that a number selected at random from 40 to 50 is a prime.

  Options:
  A) $\frac{3}{11}$
  B) $\frac{5}{11}$
  C) $\frac{3}{11}$
  D) $\frac{4}{11}$
  Show Answer
  The correct answer is C .
• Question 463: If the maximum value of $y=1+hx-3x^2$ is $13$, find $h$. Options:
  A) 13
  B) 12
  C) 11
  D) 10
  E) 14
  Show Answer
  The correct answer is B .
• Question 464:

  If sec${}^2$θ + tan${}^2$θ = 3, then the angleθ is equal to?

  Options:
  A) 90º
  B) 30º
  C) 45º
  D) 60º
  Show Answer
  The correct answer is C .
• Question 465:

  

  From the cyclic quadrilateral above, find < TVS

  Options:
  A) 60^o
  B) 80^o
  C) 70^o
  D) 50^o
  Show Answer
  The correct answer is B .
• Question 466: The first term of a geometric progression is twice its common ratio. Find the sum of the first two terms of the G.P if its sum to infinity is 8. Options:
  A) 8/5
  B) 8/3
  C) 72/25
  D) 56/9
  Show Answer
  The correct answer is C .
• Question 467: A binary operation * on the set of rational numbers is defined as $x\times y=\frac{x^2-y^2}{2xy}find-5\times 3$ Options:
  A) $\frac{-8}{15}$
  B) $\frac{8}{15}$
  C) $\frac{17}{15}$
  D) $\frac{-17}{15}$
  Show Answer
  The correct answer is A .
• Question 468:

  

  TQ is tangent to circle XYTR, < YXT = 32${}^{\circ }$, RTQ = 40${}^{\circ }$. Find < YTR

  Options:
  A) 108${}^{\circ }$
  B) 121${}^{\circ }$
  C) 140${}^{\circ }$
  D) 148${}^{\circ }$
  Show Answer
  The correct answer is A .
• Question 469: A basket contain green, black and blue balls in the ratio 5 : 2 : 1. If there are 10 blue balls. Find the corresponding new ratio when 10 green and 10 black balls are removed from the basket Options:
  A) 1 : 1 : 1
  B) 4 : 2 : 1
  C) 5 : 1 : 1
  D) 4 : 1 : 1
  Show Answer
  The correct answer is D .
• Question 470: Make S the subject of the relation
  p = s + $\frac{s{m}^2}{nr}$ Options:
  A) s = $\frac{nrp}{nr+m^2}$
  B) s = nr + $\frac{m^2}{mrp}$
  C) s = $\frac{nrp}{mr}$ + m²
  D) s = $\frac{nrp}{nr}$ + m²
  Show Answer
  The correct answer is D .