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 1561: If x is a positive real number, find the range of values for which $\frac{1}{3x}$ + $\frac{1}{2}$ > $\frac{1}{4x}$
  Options:
  A) 0 > -$\frac{1}{6}$
  B) x > 0
  C) 0 < x < 4
  D) 0 < x < $\frac{1}{6}$
  Show Answer
  The correct answer is D .
• Question 1562: If b = a + cp and r = ab + $\frac{1}{2}$cp², express b² in terms of a, c, r. Options:
  A) b² = aV + 2cr
  B) b² = ar + 2c²r
  C) b² = a² = $\frac{1}{2}$ cr²
  D) b² = $\frac{1}{2}$ar² + c
  E) b² = 2cr - a²
  Show Answer
  The correct answer is E .
• Question 1563:

  

  The farm yield of four crops on a piece of land in Ondo are represented on the pie chart. what is the angle of the sector occupies by Okro in the chart?

  Options:
  A) 11${}^{\circ }$
  B) 19$\frac{1}{3}$${}^{\circ }$
  C) 33$\frac{1}{3}$${}^{\circ }$
  D) 91$\frac{1}{3}$${}^{\circ }$
  E) 91${}^{\circ }$
  Show Answer
  The correct answer is B .
• Question 1564: Evaluate 3(x + 2) > 6(x + 3)
  Options:
  A) x < 4
  B) x > -4
  C) x < -4
  D) x > 4
  Show Answer
  The correct answer is C .
• Question 1565:

  

  XYZ is a triangle and XW is perpendicular to YZ at = W. If XZ = 5cm and WZ = 4cm, Calculate XY.

  Options:
  A) 5$\sqrt{3}$cm
  B) 3$\sqrt{5}$cm
  C) 3$\sqrt{3}$cm
  D) 5cm
  E) 6cm
  Show Answer
  The correct answer is B .
• Question 1566: The binary operation on the set of real numbers is defined by m*n = $\frac{mn}{2}$ for all m, n $\in$ R. If the identity element is 2, find the inverse of -5 Options:
  A) $-\frac{4}{5}$
  B) $-\frac{2}{5}$
  C) 4
  D) 5
  Show Answer
  The correct answer is A .
• Question 1567: The pilot of an aeroplane, flying 10km above the ground in the direction of a landmark, views the landmark to have angles of depression of 35^o and 55^o. Find the distance between the two points of observation Options:
  A) 10(sin 35^o - sin 55^o)
  B) 10 cos35^o - cos 55^o
  C) 10(tan35^o - tan55^o)
  D) 10(cot35^o - cot55^o)
  Show Answer
  The correct answer is D .
• Question 1568: Rationalize $\frac{2-\sqrt{5}}{3-\sqrt{5}}$ Options:
  A) $\frac{1-\sqrt{5}}{2}$
  B) $\frac{1-\sqrt{5}}{4}$
  C) $\frac{\sqrt{5}-1}{2}$
  D) $\frac{1+\sqrt{5}}{4}$
  Show Answer
  The correct answer is B .
• Question 1569: Multiply (x + 3y + 5) by (2x² + 5y + 2) Options:
  A) 2x² + 3yx² + 10xy + 15y² + 13y + 10x² + 2x + 10
  B) 2x³ + 6yx² + 5xy + 5y² + 31y + 5x² + 2x + 10
  C) 2x³ + 6xy² + 5xy + 15y² + 12y + 10x² + 2x = 10
  D) 2x² + 6xy² + 5xy + 15y² + 13y + 10x² + 2x + 10
  E) 2x³ + 2yx² + 10xy + 10y² + 31y + 5x² + 10
  Show Answer
  The correct answer is B .
• Question 1570: Write the decimal number 39 to base 2 Options:
  A) 10011 base 2
  B) 110111 base 2
  C) 111001 base 2
  D) 100101 base 2
  E) 19.5 base 2
  Show Answer
  The correct answer is A .