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 1081:

  find the range of values of values of r which satisfies the following inequality, where a, b and c are positive $\frac{r}{a}$ + $\frac{r}{b}$ + $\frac{r}{c}$ > 1

  Options:
  A) r > $\frac{abc}{bc+ac+ab}$
  B) r < abc
  C) r > $\frac{1}{a}$ + $\frac{1}{b}$ + $\frac{1}{c}$
  D) r < $\frac{1}{abc}$
  Show Answer
  The correct answer is A .
• Question 1082:

  A rectangle has one side that is 6 cm shorter than the other. The area of the rectangle will increase by 68 cm${}^2$ if we add 2 cm to each side of the rectangle. Find the length of the shorter side.

  Options:
  A) 15 cm
  B) 19 cm
  C) 13 cm
  D) 21 cm
  Show Answer
  The correct answer is C .
• Question 1083: If three angles of a quadrilateral are (3y - x - z)^o, 3x^o, (2z - 2y - x)^o find the fourth angle in terms of x, y and z Options:
  A) (360 - x- y - z)^o
  B) (360 + x + y - z)^o
  C) (180 - x + y + z)^o
  D) (180 - x + y + z)^o
  Show Answer
  The correct answer is A .
• Question 1084: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .
• Question 1085: In a school, there are 35 students in class 2A and 40 in class 2B. The mean score for class 2 in an English Literature examination is 60.0 and that for 2B in the same paper is 52.5. Find, to one place of decimal, the mean for the combined classes Options:
  A) 2.5
  B) 56.0
  C) 56.2
  D) 56.3
  E) 6.5
  Show Answer
  The correct answer is B .
• Question 1086:

  Simplify 25${}^{\frac{1}{2}}$ × 8${}^{\frac{-2}{3}}$

  Options:
  A) 1$\frac{1}{4}$
  B) 2$\frac{1}{4}$
  C) 6
  D) 10
  Show Answer
  The correct answer is A .
• Question 1087: The cost of production of an article is made up as follows: Labour ₦70, Power ₦15, Materials ₦30, Miscellaneous ₦5. Find the angle of the sector representing Labour in a pie chart Options:
  A) 210^o
  B) 105^o
  C) 105^o
  D) 175^o
  E) 90^o
  Show Answer
  The correct answer is A .
• Question 1088:
  

  Find the volume of the composite solid above.

  Options:
  A) 2048 cm${}^3$
  B) 2568 cm${}^3$
  C) 2672 cm${}^3$
  D) 1320 cm${}^3$
  Show Answer
  The correct answer is B .
• Question 1089:

  

  The bar chart above shows the distribution of marks in a class test. If the pass mark is 5, what percentage of students failed the test?

  Options:
  A) 10%
  B) 20%
  C) 50%
  D) 60%
  Show Answer
  The correct answer is C .
• Question 1090:

  Given that r =$\sqrt{\frac{3v}{\pi h}}$, make v the subject of the formula

  Options:
  A) v = 3 $\pi r^2$ h
  B) v = $\frac{\pi rh}{3}$
  C) v =  $\frac{\pi r^{2}h}{3}$
  D) v = 3πrh
  Show Answer
  The correct answer is C .