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 2071: If U = {x : x is an integer and 1 $\le$ x $\le$ 20
  E₁ = {x : x is a multiple of 3}
  E₂ = {x : x is a multiple of 4}
  and an integer is picked at random from U, find the probability that it is not in E₂ Options:
  A) 3/4
  B) 3/10
  C) 1/4
  D) 1/20
  Show Answer
  The correct answer is A .
• Question 2072:

  

  In the diagram above, O is the centre of the circle ABC, < ABO = 26° and < BOC = 130°. Calculate < AOC.

  Options:
  A) 26°
  B) 13°
  C) 80°
  D) 102°
  Show Answer
  The correct answer is D .
• Question 2073: If y = x² - (1/x). find dy/dx Options:
  A) 2x - (1/x²)
  B) 2x + x²
  C) 2x - x²
  D) 2x + (1/x²)
  Show Answer
  The correct answer is D .
• Question 2074:

  

  PQRST is a regular pentagon and PQVU is a rectangle with U and V lying on TS and SR respectively as shown in the diagram. Calculate TUP

  Options:
  A) 18${}^{\circ }$
  B) 54${}^{\circ }$
  C) 90${}^{\circ }$
  D) 108${}^{\circ }$
  Show Answer
  The correct answer is B .
• Question 2075: A chord drawn 5 cm away from the center of a circle of radius 13 cm. Calculate the length of the chord Options:
  A) 7cm
  B) 9cm
  C) 12cm
  D) 24cm
  Show Answer
  The correct answer is D .
• Question 2076: 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 2077: 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 2078: Solve the equations
  m² + n² = 29
  m + n = 7 Options:
  A) (2, 3) and ( 3, 5)
  B) (2, 5) and (5, 2)
  C) (5, 2) and ( 5, 3)
  D) (5, 3) and (3, 5)
  Show Answer
  The correct answer is B .
• Question 2079:

  If $\sin x=\frac{4}{5}$, find $\frac{1+{\cot }^{2}x}{{\csc }^{2}x-1}$.

  Options:
  A) $\frac{13}{2}$
  B) $\frac{25}{9}$
  C) $\frac{3}{13}$
  D) $\frac{4}{11}$
  Show Answer
  The correct answer is B .
• Question 2080: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .