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 71:

  Measurements of the diameters, in centimeters, in centimeters, of 20 copper spheres are distributed as shown below:

  $\begin{array}{ccc}\text{Class boundary in cm}& \text{frequency}& \\ 3.35-3.45& 3\\ 3.45-3.55& 6\\ 3.55-3.65& 7\\ 3.65-3.75& 4\end{array}$

  What is the mean diameter of the copper spheres?

  Options:
  A) 3.40cm
  B) 3.58cm
  C) 3.56cm
  D) 3.62cm
  Show Answer
  The correct answer is C .
• Question 72: A circle with radius 5cm has its radius increasing at the rate of 0.2m/s. What will be the corresponding increase in the area? Options:
  A) 2π
  B) 5π
  C) π
  D) 4π
  Show Answer
  The correct answer is A .
• Question 73:

  

  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 74: If sinx^o = what is sin (90 - x)^o? Options:
  A) $\frac{\sqrt{b^2-a^2}}{b}$
  B) 1$\frac{-a}{b}$
  C) $\frac{b^2-a^2}{b}$
  D) $\frac{a^2-b^2}{b}$
  E) $\sqrt{b^2-a^3}$
  Show Answer
  The correct answer is A .
• Question 75: The scores of set of final year students in the first semester examination in a paper are 41, 29, 55, 21, 47, 70, 70, 40, 43, 56, 73, 23, 50, 50. Find the median of the scores. Options:
  A) 47
  B) 50
  C) 48$\frac{1}{2}$
  D) 48
  E) 49
  Show Answer
  The correct answer is C .
• Question 76: If x = $\left(\begin{array}{cc}1& 2\\ 0& 3\end{array}\right)$ and y = $\left(\begin{array}{cc}2& 1\\ 4& 3\end{array}\right)$. Find xy. Options:
  A) $\left(\begin{array}{cc}10& 7\\ 12& 9\end{array}\right)$
  B) $\left(\begin{array}{cc}2& 7\\ 4& 17\end{array}\right)$
  C) $\left(\begin{array}{cc}10& 4\\ 4& 6\end{array}\right)$
  D) $\left(\begin{array}{cc}4& 3\\ 10& 9\end{array}\right)$
  Show Answer
  The correct answer is A .
• Question 77: The 4th term of an A.P. is 13 while the 10th term is 31. Find the 21st term. Options:
  A) 175
  B) 85
  C) 64
  D) 45
  Show Answer
  The correct answer is C .
• Question 78: Integrate $\frac{2x^3+2x}{x}$ with respect to x Options:
  A) $\frac{2x^3}{3}$ - 2x + k
  B) x³ + 2x + k
  C) $\frac{2x^3}{3}$ + 2x + k
  D) x³ - 2x + k
  Show Answer
  The correct answer is C .
• Question 79:

  Integrate ${\int }_{-1}^2(2x^2+x)\mathrm{d}x$

  Options:
  A) $4\frac{1}{2}$
  B) $3\frac{1}{2}$
  C) $7\frac{1}{2}$
  D) $5\frac{1}{4}$
  Show Answer
  The correct answer is C .
• Question 80: Find the values of x and y respectively if
  $\left(\begin{array}{cc}1& 0\\ -1& -1\\ 2& 2\end{array}\right)$ + $\left(\begin{array}{cc}x& 1\\ -1& 0\\ y& -2\end{array}\right)$ = $\left(\begin{array}{cc}-2& 1\\ -2& -1\\ -30& 0\end{array}\right)$ Options:
  A) -3, -2
  B) -5, -3
  C) -2, -5
  D) -3, -5
  Show Answer
  The correct answer is D .