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 901:

  

  In the figure, PQ is parallel to SQ ; QS bisets < PSQ, < PQS is 65${}^{\circ }$ and < RPS is 20${}^{\circ }$. What is the size of < PRS?

  Options:
  A) 45${}^{\circ }$
  B) 35${}^{\circ }$
  C) 40${}^{\circ }$
  D) 30${}^{\circ }$
  E) 42${}^{\circ }$
  Show Answer
  The correct answer is D .
• Question 902: If k + 1; 2k - 1, 3k + 1 are three consecutive terms of a geometric progression, find the possible values of the common ratio Options:
  A) 0, 8
  B) -1, $\frac{5}{3}$
  C) 2, 3
  D) 1, -1
  Show Answer
  The correct answer is B .
• Question 903:
  

  Calculate, correct to three significant figures, the length AB in the diagram above.

  Options:
  A) 36.4 cm
  B) 36.1 cm
  C) 36.2 cm
  D) 36.3 cm
  Show Answer
  The correct answer is C .
• Question 904:

  

  The diagram is a circle with centre O. Find the area of the shaded portion.

  Options:
  A) 9($\pi -2)c{m}^2$
  B) 18$\pi c{m}^2$
  C) 9$\pi c{m}^2$
  D) 36$\pi c{m}^2$
  Show Answer
  The correct answer is A .
• Question 905: If $\frac{1+\sqrt{2}}{1-\sqrt{2}}$ is expressed in the form x + y$\sqrt{2}$. Find the values of x and y Options:
  A) (-3, -2)
  B) (-2, 3)
  C) (3, 2)
  D) (2, -3)
  Show Answer
  The correct answer is A .
• Question 906:

  If $y=6x^3+2x^{-2}-x^{-3}$, find $\frac{\mathrm{d}y}{\mathrm{d}x}$.

  Options:
  A) $\frac{\mathrm{d}y}{\mathrm{d}x}=15x^2-4x^{-2}-3x^{-2}$
  B) $\frac{\mathrm{d}y}{\mathrm{d}x}=6x+4x^{-1}-3x^{-4}$
  C) $\frac{\mathrm{d}y}{\mathrm{d}x}=18x^2-4x^{-3}+3x^{-4}$
  D) $\frac{\mathrm{d}y}{\mathrm{d}x}=12x^2+4x^{-1}-3x^{-2}$
  Show Answer
  The correct answer is C .
• Question 907: In $\mathrm{\Delta }$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) 25cm
  C) 3cm
  D) 4cm
  E) None of the above
  Show Answer
  The correct answer is A .
• Question 908: Find the mean deviation of the set of numbers 4, 5, 9 Options:
  A) zero
  B) 2
  C) 5
  D) 6
  Show Answer
  The correct answer is B .
• Question 909:

  If three staff of Chukwudi and Sons Ltd. agreed to share their salary arrears in the ration of their ages, which are 18 years, 20 years, 22 years respectively. If the sum of the money collected is ₦120,000.00K, How much does the second staff receive?

  Options:
  A) ₦36,000
  B) ₦44,000
  C) ₦40,000
  D) ₦15,000
  Show Answer
  The correct answer is C .
• Question 910: A straight line makes an angle of 30° with the positive x-axis and cuts the y-axis at y = 5. Find the equation of the straight line. Options:
  A) y = (x/10) + 5
  B) y = x + 5
  C) √3y = - x + 5√3
  D) √3y = x + 5√3
  Show Answer
  The correct answer is D .