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 151: If 9x² + 6xy + 4y² is a factor of 27x³ - 8y³, find the other factor. Options:
  A) 2y + 3x
  B) 2y - 3x
  C) 3x + 2y
  D) 3x - 2y
  Show Answer
  The correct answer is D .
• Question 152:

  The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given.

  Mark	0	1	2	3	4	5
  Frequency	1	2	7	5	4	3

  What is the probability of selecting a student from the group that scored 2 or 3?

  Options:
  A) $\frac{1}{11}$
  B) $\frac{5}{22}$
  C) $\frac{7}{22}$
  D) $\frac{6}{11}$
  Show Answer
  The correct answer is D .
• Question 153:

  

  In this figure, PQ = PR = PS and SRT = 68${}^{\circ }$. Find QPS.

  Options:
  A) 136${}^{\circ }$
  B) 124${}^{\circ }$
  C) 12${}^{\circ }$
  D) 68${}^{\circ }$
  Show Answer
  The correct answer is A .
• Question 154: If the gradient of the curve y = 2kx² + x + 1 at x = 1 is 9, find k. Options:
  A) 4
  B) 3
  C) 2
  D) 1
  Show Answer
  The correct answer is C .
• Question 155:

  

  The graph shows the cumulative frequency of the distribution of masses of fertilizer for 48 workers in one institution. Which of the following gives the inter-quartile range?

  Options:
  A) $\frac{1}{2}(Q_3-Q_1)$
  B) Q₃ - Q₂
  C) Q₃ - Q₂
  D) Q₃ - Q₁
  Show Answer
  The correct answer is A .
• Question 156:

  Given matrix M = $\left|\begin{array}{ccc}-2& 0& 4\\ 0& -1& 6\\ 5& 6& 3\end{array}\right|$, find $M^T+2M$

  Options:
  A) $\left|\begin{array}{ccc}-4& 2& 1\\ 6& 0& 5\\ 0& 6& 2\end{array}\right|$
  B) $\left|\begin{array}{ccc}-6& 0& 13\\ 0& -3& 18\\ 14& 18& 9\end{array}\right|$
  C) $\left|\begin{array}{ccc}5& 2& 6\\ 0& 1& 1\\ 3& 4& -7\end{array}\right|$
  D) $\left|\begin{array}{ccc}-4& 0& 8\\ 0& -2& -16\\ 10& 12& 6\end{array}\right|$
  Show Answer
  The correct answer is B .
• Question 157:

  A box contains two red balls and four blue balls. A ball is drawn at random from the box and then replaced before a second ball is drawn. Find the probability of drawing two red balls.

  Options:
  A) $\frac{2}{3}$
  B) $\frac{1}{3}$
  C) $\frac{1}{4}$
  D) $\frac{1}{9}$
  Show Answer
  The correct answer is D .
• Question 158:

  The third term of an A.P is 6 and the fifth term is 12. Find the sum of its first twelve terms

  Options:
  A) 201
  B) 144
  C) 198
  D) 72
  Show Answer
  The correct answer is C .
• Question 159:

  $\begin{array}{cccc}\text{Age in years}& 10& 11& 12\\ \text{Number of pupils}& 6& 27& 7\end{array}$

  The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?

  Options:
  A) $\frac{27}{40}$
  B) $\frac{17}{20}$
  C) $\frac{33}{40}$
  D) $\frac{3}{20}$
  Show Answer
  The correct answer is B .
• Question 160:

  

  The bar chart shows the distribution of marks in a class test. How many students took the test?

  Options:
  A) 17
  B) 20
  C) 25
  D) 30
  Show Answer
  The correct answer is A .