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 1341: Find P if $\frac{x-3}{(1-x)(x+2)}$ = $\frac{p}{1-x}$ + $\frac{Q}{x+2}$ Options:
  A) $\frac{-2}{3}$
  B) $\frac{-5}{3}$
  C) $\frac{5}{3}$
  D) $\frac{2}{3}$
  Show Answer
  The correct answer is A .
• Question 1342: If p varies inverse as the square of q and p = 8 when q =4, find q when p = 32 Options:
  A) $\pm$16
  B) $\pm$8
  C) $\pm$4
  D) $\pm$2
  Show Answer
  The correct answer is D .
• Question 1343:

  

  In the figure, XR and YQ are tangents to the circle YZXP if ZXR = 45^o and YZX = 55^o, Find ZYQ

  Options:
  A) 135^o
  B) 125^o
  C) 100^o
  D) 90^o
  Show Answer
  The correct answer is A .
• Question 1344:

  

  The diagram above is a circle with centre C. P, Q and S are points on the circumference. PS and SR are tangents to the circle. ∠PSR = 36${}^{\circ }$. Find ∠PQR

  Options:
  A) 72${}^{\circ }$
  B) 36${}^{\circ }$
  C) 144${}^{\circ }$
  D) 54${}^{\circ }$
  Show Answer
  The correct answer is A .
• Question 1345:

  A school boy lying on the ground 30m away from the foot of a water tank towel observes that the angle of elevation of the top of the tank is 60${}^o$. Calculate the height of the tank.

  Options:
  A) 60$\sqrt{3m}$
  B) 30$\sqrt{3m}$
  C) 20$\sqrt{3m}$
  D) 10$\sqrt{3m}$
  Show Answer
  The correct answer is B .
• Question 1346: Factorize 4x² - 9y² + 20x + 25 Options:
  A) (2x -3y + 5)(2x - 3y - 5)
  B) (2x - 3y)(2x + 3y)
  C) (2x - 3y +5)(2x + 3y + 5)
  D) (2x + 5)(2x - 9y +5)
  Show Answer
  The correct answer is C .
• Question 1347:

  Evaluate $\frac{2{\log }_{3}9\times {\log }_3{81}^{-2}}{{\log }_{5}625}$

  Options:
  A) 4
  B) -32
  C) -8
  D) 16
  Show Answer
  The correct answer is C .
• Question 1348: If y = cos 3x, find $\frac{\delta y}{\delta x}$ Options:
  A) $\frac{1}{3}\sin 3x$
  B) $-\frac{1}{3}\sin 3x$
  C) 3 sin 3x
  D) -3 sin 3x
  Show Answer
  The correct answer is D .
• Question 1349: x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2? Options:
  A) 2.5
  B) 5
  C) 6.25
  D) 6.52
  E) 7.5
  Show Answer
  The correct answer is C .
• Question 1350:

  

  In the figure above, PQRS is a circle with ST//RQ. Find the value of x PT = PS.

  Options:
  A) 70${}^{\circ }$
  B) 55${}^{\circ }$
  C) 40${}^{\circ }$
  D) 35${}^{\circ }$
  Show Answer
  The correct answer is B .