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: If α and β are the roots of the equation 3x² + bx − 2 = 0. Find the value of $\frac{1}{\alpha }$ + $\frac{1}{\beta }$ Options:
  A) $\frac{-5}{3}$
  B) $\frac{-2}{3}$
  C) $\frac{1}{2}$
  D) $\frac{5}{2}$
  Show Answer
  The correct answer is D .
• Question 1132:

  

  In the diagram above, |QR| is the diameter of the semicircle QR. Find the area of the figure to the nearest whole number. {$\pi =\frac{22}{7}$}

  Options:
  A) 90cm²
  B) 89cm²
  C) 80cm²
  D) 70cm²
  Show Answer
  The correct answer is A .
• Question 1133: Evaluate ${\int }_0^2(x^3+x^2)$dx. Options:
  A) 4$\frac{5}{6}$
  B) 6$\frac{2}{3}$
  C) 1$\frac{5}{6}$
  D) 2$\frac{5}{6}$
  Show Answer
  The correct answer is B .
• Question 1134: Two distinct sectors i the same circle substend 100^o and 30^o respectively at the centre of the circle. Their corresponding arcs are in ratio Options:
  A) 10:3
  B) 1:100
  C) 3:1
  D) 5:2
  Show Answer
  The correct answer is A .
• Question 1135:

  

  In the figure, the area of the shaded segment is

  Options:
  A) 3$\pi$
  B) 9$\frac{\sqrt{3}}{4}$
  C) 3 $\pi -3\frac{\sqrt{3}}{4}$
  D) $\frac{(\sqrt{3-\pi )}}{4}$
  E) $\pi +\frac{9\sqrt{3}}{4}$
  Show Answer
  The correct answer is C .
• Question 1136: What will be the value of k so that the quadratic equation kx² - 4x + 1 = 0 has two equal roots? Options:
  A) 2
  B) 3
  C) 4
  D) 8
  E) $\frac{1}{4}$
  Show Answer
  The correct answer is C .
• Question 1137: if x : y = 5 : 12 and z = 52cm, find the perimeter of the triangle Options:
  A) 68cm
  B) 84cm
  C) 100cm
  D) 120cm
  Show Answer
  The correct answer is D .
• Question 1138:

  $\begin{array}{ccccccccc}\text{Score}& 3& 4& 5& 6& 7& 8& 9& 10\\ \text{Frequency}& 1& 0& 7& 5& 2& 3& 1& 1\end{array}$

  The table above shows the scores of 20 students in further mathematics test. What is the range of the distribution?

  Options:
  A) 7
  B) 6
  C) 3
  D) 10
  Show Answer
  The correct answer is A .
• Question 1139:

  Evaluate ${}^{n^2+1}$C${}_{n+5}$ if n = 3

  Options:
  A) 55
  B) 45
  C) 35
  D) 25
  Show Answer
  The correct answer is B .
• Question 1140: Factorize $x^2-2x-15$ Options:
  A) (x + 3)²
  B) (x + 5)(x − 3)
  C) (x − 5)²
  D) (x − 5)(x + 3)
  Show Answer
  The correct answer is D .