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 1221: 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 1222:

  The area A of a circle is increasing at a constant rate of 1.5 cm${}^2{s}^{-1}$. Find, to 3 significant figures, the rate at which the radius r of the circle is increasing when the area of the circle is 2 cm${}^2$.

  Options:
  A) 0.200 cms${}^{-1}$
  B) 0.798 cms${}^{-1}$
  C) 0.300 cms${}^{-1}$
  D) 0.299 cms${}^{-1}$
  Show Answer
  The correct answer is D .
• Question 1223: Rationalize $\frac{\sqrt{6}-\sqrt{4}}{\sqrt{6}+\sqrt{4}}$ Options:
  A) 5 + 2 $\sqrt{6}$
  B) 5 - 4 $\sqrt{6}$
  C) 5 + 4 $\sqrt{6}$
  D) 5 - 2 $\sqrt{6}$
  Show Answer
  The correct answer is D .
• Question 1224:

  In a committee of 5, which must be selected from 4 males and 3 females. In how many ways can the members be chosen if it were to include 2 females?

  Options:
  A) 144 ways
  B) 15 ways
  C) 185 ways
  D) 12 ways
  Show Answer
  The correct answer is D .
• Question 1225: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 1226:

  Simplify $(\sqrt[3]{64}{a}^3{)}^{-1}$.

  Options:
  A) $4a$
  B) $\frac{1}{8a}$
  C) $8a$
  D) $\frac{1}{4a}$
  Show Answer
  The correct answer is D .
• Question 1227:

  A student is using a graduated cylinder to measure the volume of water and reports a reading of 18 mL. The teacher reports the value as 18.4 mL. What is the student's percent error?

  Options:
  A) 2.17%
  B) 1.73%
  C) 2.23%
  D) 1.96%
  Show Answer
  The correct answer is A .
• Question 1228: Calculate the mean deviation of the set of numbers 7, 3, 14, 9, 7, and 8. Options:
  A) 13/6
  B) 5/2
  C) 7/6
  D) 7/3
  Show Answer
  The correct answer is D .
• Question 1229: Calculate the logarithm to base 9 of 3^-4 * 9² * (81)^-1 Options:
  A) 2
  B) zero
  C) -2
  D) -4
  Show Answer
  The correct answer is C .
• Question 1230: If T = 2$\pi$ $\sqrt{\frac{L}{g}}$, make g the subject of the formula Options:
  A) $\frac{4\pi L^2}{T}$
  B) $\frac{4{\pi }^2{L}^2}{T}$
  C) $\frac{4{\pi }^{2}L}{T}$
  D) $\frac{2\pi \sqrt{T}}{T}$
  Show Answer
  The correct answer is C .