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 21: What value of Q will make the expression 4x² + 5x + Q a complete square? Options:
  A) $\frac{25}{16}$
  B) $\frac{25}{64}$
  C) $\frac{5}{8}$
  D) $\frac{5}{4}$
  Show Answer
  The correct answer is A .
• Question 22:

  The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351cm${}^3$, then the volume of the other block is?

  Options:
  A) 234.00 cm³
  B) 526.50 cm³
  C) 166.00 cm³
  D) 687cm³
  Show Answer
  The correct answer is A .
• Question 23: The angle of depression of a boat from the top of a cliff 10m high is 30. How far is the boat from the foot of the cliff? Options:
  A) $\frac{5\surd 3m}{3}$
  B) 5√3m
  C) 10√3m
  D) $\frac{10\surd 3m}{3}$
  Show Answer
  The correct answer is C .
• Question 24: A cylindrical tank has a capacity of 6160m³. What is the depth of the tank if the radius of its base is 28cm? Options:
  A) 8.0m
  B) 7.5m
  C) 5.0m
  D) 2.5m
  Show Answer
  The correct answer is D .
• Question 25:

  Given the matrix $A=\left|\begin{array}{cc}3& -2\\ 1& 6\end{array}\right|$. Find the inverse of matrix A.

  Options:
  A) $\left|\begin{array}{cc}6& 2\\ 1& 6\end{array}\right|$
  B) $\left|\begin{array}{cc}\frac{2}{11}& \frac{1}{12}\\ \frac{3}{20}& \frac{1}{10}\end{array}\right|$
  C) $\left|\begin{array}{cc}-3& 2\\ -1& -6\end{array}\right|$
  D) $\left|\begin{array}{cc}\frac{3}{10}& \frac{1}{10}\\ \frac{-1}{20}& \frac{3}{20}\end{array}\right|$
  Show Answer
  The correct answer is D .
• Question 26: The remainder when 6p³ - p² - 47p + 30 is divided by p - 3 is Options:
  A) 21
  B) 42
  C) 63
  D) 18
  Show Answer
  The correct answer is B .
• Question 27:

  

  In the figure above, |CD| is the base of the triangle CDE. Find the area of the figure to the nearest whole number.

  Options:
  A) 56 cm${}^2$
  B) 24 cm${}^2$
  C) 42 cm${}^2$
  D) 34 cm${}^2$
  Show Answer
  The correct answer is D .
• Question 28:

  If 2x${}^2$ + x - 3 divides x - 2, find the remainder.

  Options:
  A) 7
  B) 3
  C) 5
  D) 6
  Show Answer
  The correct answer is A .
• Question 29:

  Find the capacity in liters of a cylindrical well of radius 1 meter and depth 14 meters

  [π = ²²/₇]

  Options:
  A) 44,000 liters
  B) 4,400 liters
  C) 440 liters
  D) 44 liters
  Show Answer
  The correct answer is A .
• Question 30:

  If S = (4t + 3)(t - 2), find ds/dt when t = 5 secs.

  Options:
  A) 50 units per sec
  B) 35 units per sec
  C) 22 units per sec
  D) 13 units per sec
  Show Answer
  The correct answer is B .