Mathematics Trivia Quiz

Answer: s(s-a)(s-b)(s-c)

However, if one side( x units) and its corresponding height (h units) are given, the formula-[Area={1/2 * x * h} sq.units] is preferred. The formula of the area an equilateral triangle is [{(square root of 3 * side^2)/4} sq.units].

Answer: Parallelogram

A rhombus is symmetrical about its two diagonals. A semicircle is symmetrical about the perpendicular bisector of its diameter. A kite is symmetrical about the diagonal joining the point of intersection of the equal sides.

However, a parallelogram has an order of rotational symmetry of 2, i.e., when it is rotated through 180 degrees and 360 degrees, we get the same figure.

Answer: By finding out the fourth proportional

A quadratic equation is an equation where the highest power of the unknown number is 2. It has zero, one or two different possible solutions among real numbers. All the other ways can be applied if both the two possible values are rational numbers. However, if any answer is irrational, factorization is not possible.

Answer: Alternando

Componendo states that if a:b::c:d, then (a+b):b::(c+d):d.
Dividendo states that if a:b::c:d, then (a-b):b::(c-d):d.
Alternando states that if a:b::c:d, then a:c::b:d.
Invertendo states that if a:b::c:d, then b:a::d:c.

Answer: Sir Isaac Newton

The complete quote is as follows-"Algebra and arithmetic are not two divisions of mathematics. In fact, algebra is universal arithmetic. This is because there is no sum in arithmetic that cannot be solved by algebra."

Sir Isaac Newton was a famous English scientist who was the first to discover gravity in the Western World. The SI Unit of Force - Newton is named after him.

Answer: consecutive interior angles are equal

A transversal is a line that intersects two lines at distinct points. Parallel lines never intersect even if they are extended indefinitely. The sum of two consecutive angles is 180 degrees.

Answer: India

The Indian scientist and mathematician Sridharacharya created this formula as early as the 10th century AD.

The proof of this theorem is as follows:

ax^2 + bx + c = 0
or, ax^2 + bx = -c
or, x^2 + (bx)/a = (-c)/a
or, (x)^2 + 2 * x * b/2a = -c/a
or, (x)^2 + 2 * x * b/2a + (b/2a)^2= -c/a + (b^2)/(4a^2)
or, (x + b/2a)^2 = (- 4ac + b^2)/4a^2
or, x + b/2a = {plus or minus square root of (b^2 - 4ac)}2a
or x = {-b plus or minus square root of (b^2 - 4ac)}/2a]

Answer: The Babylonian Civilization

However, the theorem is still called Pythagoras' theorem because it is believed that Pythagoras was the first ever person to develop a proof of this theorem.

Answer: AAA (Angle-Angle-Angle)

If two triangles are congruent, all the corresponding sides and angles of the triangles are equal. However, AAA is a condition for similarity. This is because the sides of two triangles whose angles are equal, may not be equal.

Answer: False

2/3 * pi * radius^3 is actually the formula of the volume of a hemisphere. 4/3 * pi * radius^3 is actually the formula of the volume of a sphere. The formula of the surface area of a sphere is 4 * pi * radius^2. The formula of the surface area of a hemisphere is 3 * pi * radius^2.