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 991:

  

  The bar chart shows the number of times the word a, and, in, it, he, to appear in a paragraph in a book. What is the ratio of the least frequent word?

  Options:
  A) $\frac{1}{4}$
  B) $\frac{1}{3}$
  C) $\frac{2}{3}$
  D) $\frac{3}{4}$
  Show Answer
  The correct answer is A .
• Question 992:

  A binary operation on the set of real numbers excluding -1 is such that sor all m, n $\epsilon$ R, m $\mathrm{\Delta }$ n = m + n + mn. Find the identity element of the operation.

  Options:
  A) 1
  B) -$\frac{1}{2}$
  C) -1
  D) 0
  Show Answer
  The correct answer is D .
• Question 993: If a circular paper disc is trimmed in such a way that its circumference is reduced in the ratio 2:5, In what ratio is the surface reduced? Options:
  A) 8 : 125
  B) 2 : 5
  C) 8 : 25
  D) 4 : 25
  E) 4 : 10
  Show Answer
  The correct answer is D .
• Question 994: If y = x² - $\frac{1}{x}$, find $\frac{\delta y}{\delta x}$ Options:
  A) 2x - $\frac{1}{x^2}$
  B) 2x + x²
  C) 2x - x²
  D) 2x + $\frac{1}{x^2}$
  Show Answer
  The correct answer is D .
• Question 995: If x > 0, find the range of number x-3, 3x+2,x-1, 4x, 2x-1, x-2, 2x-2, 3x and 3x+1 Options:
  A) 3x+3
  B) 3x+1
  C) 2x+5
  D) 2x+1
  Show Answer
  The correct answer is C .
• Question 996: Rationalize the denominator of the given expression $\frac{\sqrt{1+a}-\sqrt{a}}{1+a+\sqrt{a}}$ Options:
  A) 1 + 2a - 2$\sqrt{a(1+a)}$
  B) $\sqrt{1(1+a)}$
  C) 2a - 2$\sqrt{a(1+a)}$
  D) 1 + 2a - 2$\sqrt{a+b}$
  Show Answer
  The correct answer is A .
• Question 997: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D .
• Question 998: If log_x¹/264 = 3, find the value of x Options:
  A) 4
  B) 16
  C) 32
  D) 64
  Show Answer
  The correct answer is B .
• Question 999:

  In how many ways can the letters LEADER be arranged?

  Options:
  A) 72
  B) 144
  C) 360
  D) 720
  Show Answer
  The correct answer is C .
• Question 1000:

  Two binary operations $\ast$ and $\oplus$ are defines as m $\ast$ n = mn - n - 1 and m $\oplus$ n = mn + n - 2 for all real numbers m, n.

  Find the value of 3 $\oplus$ (4 $\ast$ 50)

  Options:
  A) 60
  B) 57
  C) 54
  D) 42
  Show Answer
  The correct answer is C .