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 1171:

  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 .
• Question 1172: A cylindrical tank has a capacity of 3080m³. What is the depth of the tank if the diameter of its base is 14m? Take pi = 22/7. Options:
  A) 23m
  B) 25m
  C) 20m
  D) 22m
  Show Answer
  The correct answer is C .
• Question 1173: A frustrum of pyramid with square base has its upper and lower sections as squares of sizes 2m and 5m respectively and the distance between them 6m. Find the height of the pyramid from which the frustrum was obtained. Options:
  A) 8.0 m
  B) 8.4 m
  C) 9.0 m
  D) 10.0 m
  Show Answer
  The correct answer is D .
• Question 1174: In the diagram above, PQ//Rs. The size of the angle marked x is Options:
  A) 100${}^{\circ }$
  B) 80${}^{\circ }$
  C) 50${}^{\circ }$
  D) 30${}^{\circ }$
  Show Answer
  The correct answer is B .
• Question 1175: Integral ∫$(5x^3+7x^2-2x+5)$dx Options:
  A) $\frac{5x^4}{4}+\frac{7x^3}{3}+2x+C$
  B) $\frac{5x}{4}+\frac{7x^3}{3}-x^2+5x+C$
  C) $\frac{5x^3}{3}+\frac{7x^2}{x}-x+C$
  D) $\frac{2x^2}{3}+\frac{x}{5}-C$
  Show Answer
  The correct answer is B .
• Question 1176:

  If $\frac{3-\sqrt{3}}{2+\sqrt{3}}=a+b\sqrt{3}$, what are the values a and b?

  Options:
  A) a = 9, b = -5
  B) a = 5, b = 9
  C) a = 9, b = 5
  D) a = -5, b = 9
  Show Answer
  The correct answer is A .
• Question 1177: If x = $\left|\begin{array}{ccc}1& 0& 1\\ 2& -1& 0\\ -1& 0& 1\end{array}\right|$ and y = $\left|\begin{array}{ccc}-1& 1& 2\\ 0& -1& -1\\ 2& 0& 1\end{array}\right|$
  find 2x - y Options:
  A) $\left|\begin{array}{ccc}3& -1& 0\\ 4& -3& -1\\ -4& 1& 1\end{array}\right|$
  B) $\left|\begin{array}{ccc}3& -1& 0\\ 4& -1& 1\\ -4& 1& 1\end{array}\right|$
  C) $\left|\begin{array}{ccc}3& -1& 0\\ 4& -3& 1\\ -4& 1& 1\end{array}\right|$
  D) $\left|\begin{array}{ccc}3& -1& 0\\ 4& 1& 1\\ -4& -1& 1\end{array}\right|$
  Show Answer
  The correct answer is B .
• Question 1178: The area of a circular plate is one-sixteenth the surface area of a ball of a ball, If the area of the plate is given as P cm², then the radius of the ball is Options:
  A) $\frac{2P}{\pi }$
  B) $\frac{P}{\sqrt{\pi }}$
  C) $\frac{P}{\sqrt{2\pi }}$
  D) 2$\frac{P}{\pi }$
  Show Answer
  The correct answer is D .
• Question 1179:

  $\begin{array}{ccccccccc}\text{Marks}& 2& 3& 4& 5& 6& 7& 8& 9\\ \text{No. of students}& 3& 4& 1& 0& 4& 5& 2& 1\end{array}$

  The table above shows the distribution of marks of students in a test. Find the probability of passing the test if the pass mark is 5.

  Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{7}{20}$
  D) $\frac{1}{5}$
  Show Answer
  The correct answer is A .
• Question 1180:

  

  The people in a city with a population of 0.9 million were grouped according to their ages. Use the diagram to determine the number of people in the 15 - 29 years group

  Options:
  A) 29 x 10⁴
  B) 26 x 10⁴
  C) 16 x 10⁴
  D) 13 x 10⁴
  Show Answer
  The correct answer is B .