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 1131: The sum of the first three terms of a geometric progression is half its sum to infinity. Find the positive common ratio of the progression. Options:
  A) $\frac{1}{4}$
  B) $\sqrt{\frac{3}{2}}$
  C) $\frac{1}{\sqrt{3}}$
  D) $\frac{1}{\sqrt{2}}$
  Show Answer
  The correct answer is B .
• Question 1132: Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + ..... Options:
  A) $\frac{5}{8}$
  B) $\frac{5}{7}$
  C) $\frac{5}{11}$
  D) $\frac{5}{9}$
  Show Answer
  The correct answer is D .
• Question 1133: The value of $(0.303{)}^3-(0.02{)}^3$ is Options:
  A) 0.019
  B) 0.0019
  C) 0.00019
  D) 0.000019
  E) 0.0278
  Show Answer
  The correct answer is E .
• Question 1134:

  

  In the figure above, TZ is tangent to the circle QPZ. Find x if TZ = 6 units and PQ = 9 units

  Options:
  A) 3
  B) 4
  C) 5
  D) 6
  Show Answer
  The correct answer is B .
• Question 1135: Evaluate ${\int }_0^{\frac{\pi }{0}}sin2xdx$ Options:
  A) 1
  B) zero
  C) -1/2
  D) -1
  Show Answer
  The correct answer is A .
• Question 1136:

  

  Find the volume of the prism.

  Options:
  A) 990cm³
  B) 880cm³
  C) 550cm³
  D) 495cm³
  Show Answer
  The correct answer is D .
• Question 1137: In $△$XYZ, XY = 3cm, XZ = 5cm and YZ = 7cm. If the bisector of XYZ meets XZ at W, what is the length of XW? Options:
  A) 1.5cm
  B) 2.5cm
  C) 3cm
  D) 4cm
  E) None of the above
  Show Answer
  The correct answer is A .
• Question 1138: Rationalize the expression $\frac{1}{\sqrt{2}+\sqrt{5}}$ Options:
  A) $\frac{1}{3}$($\sqrt{5}-\sqrt{2}$
  B) $\frac{\sqrt{2}}{3}$ + $\frac{\sqrt{5}}{5}$
  C) $\sqrt{2}-\sqrt{5}$
  D) 5($\sqrt{2}-\sqrt{5}$
  E) $\frac{1}{3}$($\sqrt{2}-\sqrt{5}$
  Show Answer
  The correct answer is A .
• Question 1139:

  If P $=\left[\begin{array}{cc}x+3& x+2\\ x+1& x-1\end{array}\right]$ evaluate x if |P| = -10

  Options:
  A) -5
  B) -2
  C) 2
  D) 5
  Show Answer
  The correct answer is D .
• Question 1140: U is inversely proportional to the cube of V and U = 81 when V = 2. Find U when V = 3 Options:
  A) 24
  B) 27
  C) 32
  D) 36
  Show Answer
  The correct answer is A .