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 1511: What is the locus of the mid-points of all chords of length 6cm within a circle of radius 5cm and with centre 0 Options:
  A) A circle of radius 4 cm and with centre O
  B) The perpendicular bisector of the chords
  C) a straight line passing through centre O
  D) A circle of radius 6 cm and with centre O
  Show Answer
  The correct answer is A .
• Question 1512: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 1513: If $\frac{t}{1}$ = $\sqrt{(\frac{4{\pi }^2}{g}})$, what is the value of g when I = 4.5; t = 5 secs Options:
  A) 3.20 ms²
  B) 11.31 ms²
  C) 32.00 ms²
  D) 56.57 ms²
  E) 160.00 ms²
  Show Answer
  The correct answer is C .
• Question 1514: The ages of Tosan and Isa differ by 6 and the product of their ages is 187. Write their ages in the form (x, y), where x > y. Options:
  A) (12, 6)
  B) (23, 17)
  C) (17, 11)
  D) (18, 12)
  Show Answer
  The correct answer is C .
• Question 1515: Simplify $\frac{x}{x+y}$ + $\frac{y}{x-y}$ - $\frac{x^2}{x^2-y^2}$ Options:
  A) $\frac{x}{x^2-y^2}$
  B) $\frac{y^2}{x^2-y^2}$
  C) $\frac{x^2}{x^2-y^2}$
  D) $\frac{y}{x^2-y^2}$
  Show Answer
  The correct answer is B .
• Question 1516:

  PQRS is a cyclic quadrilateral with PQ as diameter of the circle. If < PQS = 15^o, find < QRS

  Options:
  A) 75^o
  B) 37$\frac{1}{2}$^o
  C) 127$\frac{1}{2}$^o
  D) 105^o
  Show Answer
  The correct answer is D .
• Question 1517: What is the mean of the data t, 2t-1, t-2, 2t-1, 4t and 2t+2? Options:
  A) 2t
  B) 2t-1
  C) ²/₃t+1
  D) 2t-¹/₃
  Show Answer
  The correct answer is D .
• Question 1518: A flagpole is placed at the top of a tower. The angles of elevation of the bottom and top of the flagpole from a point on the ground 10m away are 40° and 50° respectively. Find the length of the flagpole. Options:
  A) 1.8m
  B) 3.5m
  C) 8.4m
  D) 11.9m
  E) 17.3m
  Show Answer
  The correct answer is B .
• Question 1519: The shadow of a pole 5√3m high is 5m. Find the angle of elevation of the sun. Options:
  A) 45${}^{\circ }$
  B) 75${}^{\circ }$
  C) 30${}^{\circ }$
  D) 60${}^{\circ }$
  Show Answer
  The correct answer is D .
• Question 1520: A binary operation * is defined by x * y = x^y. If x * 2 = 12 - x, find the possible values of x Options:
  A) 3,4
  B) 3,-4
  C) -3,4
  D) -3,-4
  Show Answer
  The correct answer is B .