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 1111:

  

  In the diagram, PQ and RS are chords of a circle centre O which meet at T outside the circle. If TP = 24cm. TQ = 8cm and TS = 12cm, find TR.

  Options:
  A) 16cm
  B) 14cm
  C) 12cm
  D) 8cm
  Show Answer
  The correct answer is A .
• Question 1112: Multiply (3x + 5y + 4z) by (2x - 3y + z) Options:
  A) 6x² + xy - 15y² + 4z² + 11xz - 7yz
  B) 6x² + 3xy - 15y² + 4z²
  C) 6x² + 3xy - y² + 4z²
  D) 6x² + 3xy - 15y + z²
  Show Answer
  The correct answer is A .
• Question 1113: I how many was can the letters of the word ELATION be arranged? Options:
  A) 6!
  B) 7!
  C) 5!
  D) 8!
  Show Answer
  The correct answer is B .
• Question 1114:

  A car travels from calabar to Enugu, a distance of P km with an average speed of U km per hour and continues to benin, a distance of Q km, with an average speed of Wkm per hour. Find its average speed from Calabar to Benin

  Options:
  A) $\frac{(p+q)}{pw+qu}$
  B) $\frac{uw(p+q)}{pw+qu}$
  C) $\frac{uw(p+q)}{pw}$
  D) $\frac{uw}{pw+qu}$
  Show Answer
  The correct answer is B .
• Question 1115:

  Given matrix M = $\left|\begin{array}{ccc}-2& 0& 4\\ 0& -1& 6\\ 5& 6& 3\end{array}\right|$, find $M^T+2M$

  Options:
  A) $\left|\begin{array}{ccc}-4& 2& 1\\ 6& 0& 5\\ 0& 6& 2\end{array}\right|$
  B) $\left|\begin{array}{ccc}-6& 0& 13\\ 0& -3& 18\\ 14& 18& 9\end{array}\right|$
  C) $\left|\begin{array}{ccc}5& 2& 6\\ 0& 1& 1\\ 3& 4& -7\end{array}\right|$
  D) $\left|\begin{array}{ccc}-4& 0& 8\\ 0& -2& -16\\ 10& 12& 6\end{array}\right|$
  Show Answer
  The correct answer is B .
• Question 1116: A school boy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank 60^o. Calculate the height of the water tank. Options:
  A) 60m
  B) 30 $\sqrt{3}$m
  C) 20 $\sqrt{3}$m
  D) 10 $\sqrt{3}$m
  Show Answer
  The correct answer is B .
• Question 1117: If M represents the median and D the mode of the measurements 5, 9, 3, 5, 7, 5, 8, then (M, D) is Options:
  A) (6, 5)
  B) (5, 8)
  C) (5, 7)
  D) (5, 5)
  E) (7, 5)
  Show Answer
  The correct answer is D .
• Question 1118: Simplify $\frac{5^x\times {25}^{x-1}}{{125}^{x-1}}$ Options:
  A) 5^{2x + 1}
  B) 5^{x + 1}
  C) 5^-5
  D) 5²
  E) 5³
  Show Answer
  The correct answer is C .
• Question 1119: The binary operation * is defined on the set of integers such that p * q = pq + p - q. Find 2 * (3 * 4) Options:
  A) 11
  B) 13
  C) 15
  D) 22
  Show Answer
  The correct answer is B .
• Question 1120: What is the size of an exterior angle of a regular pentagon? Options:
  A) 36^o
  B) 60^o
  C) 72^o
  D) 120^o
  E) 360^o
  Show Answer
  The correct answer is C .