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 1671: 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 1672: Simplify 2log $\frac{2}{5}$ - log$\frac{72}{125}$ + log 9 Options:
  A) 1 - 4 log3
  B) -1 + 2 log 3
  C) -1 + 5 log2
  D) 1 - 2log 2
  Show Answer
  The correct answer is D .
• Question 1673: Simplify $\frac{1}{1+\sqrt{5}}$ - $\frac{1}{1-\sqrt{5}}$ Options:
  A) - $\frac{1}{2}\sqrt{5}$
  B) $\frac{1}{2}\sqrt{5}$
  C) -- $\frac{1}{4}\sqrt{5}$
  D) 5
  Show Answer
  The correct answer is A .
• Question 1674:

  A rectangular plot of land has sides with lengths of 38 m and 52 m corrected to the nearest m. Find the range of the possible values of the area of the rectangle

  Options:
  A) 1931.25 m${}^2$ ≤ A < 2021.25 m${}^2$
  B) 1950 m${}^2$ ≤ A < 2002 m${}^2$
  C) 1957 m${}^2$ ≤ A < 1995 m${}^2$
  D) 1931.25 m${}^2$ ≥ A > 2021.25 m${}^2$
  Show Answer
  The correct answer is A .
• Question 1675: Make x the subject of the equation a(b + c) + $\frac{5}{d}$ - 2 = 0 Options:
  A) c = $\frac{2d-5-b}{ad}$
  B) c = $\frac{2d-5-abd}{ad}$
  C) c = $\frac{2d-5-ab}{ad}$
  D) c = $\frac{5-2d-b}{ad}$
  Show Answer
  The correct answer is B .
• Question 1676:

  An arc of a circle subtends an angle of 30${}^{\circ }$ on the circumference of a circle of radius 21cm. Find the length of the arc.

  Options:
  A) 11cm
  B) 22cm
  C) 44cm
  D) 66cm
  Show Answer
  The correct answer is A .
• Question 1677: Three consecutive positive integers k, l and m are such that l² = 3(k+m). Find the value of m Options:
  A) 4
  B) 5
  C) 6
  D) 7
  Show Answer
  The correct answer is A .
• Question 1678: A number is selected at random between 20 and 30, both numbers inclusive. Find the probability that the number is a prime Options:
  A) $\frac{2}{11}$
  B) $\frac{5}{11}$
  C) $\frac{6}{11}$
  D) $\frac{8}{11}$
  Show Answer
  The correct answer is A .
• Question 1679: Given log 2 = 0.69, log3 = 1, 10 and log7 = 1.90, all to a fixed base, find log 10.5 to the same base without using tables. Options:
  A) 1.03
  B) 2.31
  C) 3.69
  D) 10.5
  E) 25
  Show Answer
  The correct answer is B .
• Question 1680:

  200 tickets were sold for a show. VIP tickets costs ₦1,200 and ₦700 for regular. Total amount realised from the sale of the tickets was ₦180,000. Find the number of VIP tickets sold and the the number of regular ticket sold.

  Options:
  A) VIP = 80, Regular = 100
  B) VIP = 60, Regular = 120
  C) VIP = 60, Regular = 100
  D) VIP = 80, Regular = 120
  Show Answer
  The correct answer is D .