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 1701:

  

  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 1702:

  

  From the diagram above, find x

  Options:
  A) 65${}^{\circ }$
  B) 50${}^{\circ }$
  C) 75${}^{\circ }$
  D) 55${}^{\circ }$
  Show Answer
  The correct answer is A .
• Question 1703:

  Rationalize $\frac{\sqrt{2}+\sqrt{3}}{\sqrt{2}-\sqrt{3}}$

  Options:
  A) $-5-2\sqrt{6}$
  B) $-5+3\sqrt{2}$
  C) $5-2\sqrt{3}$
  D) $5+2\sqrt{6}$
  Show Answer
  The correct answer is A .
• Question 1704: Find the minimum value of X² - 3x + 2 for all real values of x Options:
  A) -$\frac{1}{4}$
  B) -$\frac{1}{2}$
  C) $\frac{1}{4}$
  D) $\frac{1}{2}$
  Show Answer
  The correct answer is A .
• Question 1705: A point P moves such that it is equidistant from Points Q and R. Find QR when PR = 8cm and angle PRQ = 30° Options:
  A) 4√3cm
  B) 8cm
  C) 8√3cm
  D) 4cm
  Show Answer
  The correct answer is C .
• Question 1706: If the gradient of the curve y = 2kx² + x + 1 at x = 1 is 9, find k. Options:
  A) 4
  B) 3
  C) 2
  D) 1
  Show Answer
  The correct answer is C .
• Question 1707:

  

  The figure is a solid with the trapezium PQRS as its uniform cross-section. Find its volume

  Options:
  A) 120m²
  B) 576m³
  C) 816m³
  D) 1056m³
  Show Answer
  The correct answer is C .
• Question 1708: Find the range of values of x for which 7x - 3 > 25 + 3x Options:
  A) x >7
  B) x<7
  C) x>-7
  D) x
  Show Answer
  The correct answer is A .
• Question 1709:

  Evaluate (212)${}_3$ - (121)${}_3$ + (222)${}_3$

  Options:
  A) (313)${}_3$
  B) (1000)${}_3$
  C) (1020)${}_3$
  D) (1222)${}_3$
  Show Answer
  The correct answer is C .
• Question 1710: 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 .