#1
What is the sum of interior angles in a triangle?
180 degrees
ExplanationTriangles have three angles that always sum up to 180 degrees.
#2
Which of the following is NOT a type of quadrilateral?
Equilateral
ExplanationAn equilateral figure typically refers to a shape with all sides equal, commonly found in triangles.
#3
Which of the following shapes has all sides of equal length and all angles equal?
Square
ExplanationA square is defined by having all sides of equal length and all interior angles measuring 90 degrees.
#4
What is the formula for the perimeter of a rectangle?
2 x (Length + Width)
ExplanationThe perimeter of a rectangle is calculated by adding all four sides, which is twice the sum of its length and width.
#5
What is the name of a three-dimensional figure with a circular base and a curved surface?
Cylinder
ExplanationA cylinder is a three-dimensional figure having a circular base and a curved surface.
#6
What is the measure of one exterior angle of a regular hexagon?
60 degrees
ExplanationIn a regular hexagon, each exterior angle measures 60 degrees.
#7
What is the formula for the area of a circle?
πr^2
ExplanationThe formula for the area of a circle is πr², where 'r' represents the radius of the circle.
#8
A hexagon has how many sides?
Six
ExplanationHexagon derives from Greek 'hex' meaning six and 'gonia' meaning angle, hence six sides.
#9
What is the sum of the angles in a pentagon?
540 degrees
ExplanationThe sum of the interior angles in a pentagon totals 540 degrees.
#10
What is the name of a quadrilateral with only one pair of parallel sides?
Trapezoid
ExplanationA trapezoid is characterized by having exactly one pair of parallel sides.
#11
Which of the following shapes has at least one pair of opposite sides that are parallel and equal in length?
Trapezoid
ExplanationA trapezoid typically has at least one pair of opposite sides that are parallel and equal in length.
#12
What is the formula for the surface area of a sphere?
4πr^2
ExplanationThe surface area of a sphere is given by the formula 4πr², where 'r' is the radius.
#13
What is the measure of one interior angle in a regular pentagon?
108 degrees
ExplanationIn a regular pentagon, each interior angle measures 108 degrees.
#14
What is the formula for the volume of a cube?
Length^3
ExplanationThe volume of a cube is given by the formula length raised to the power of 3.
#15
A regular octagon has how many sides?
Eight
ExplanationA regular octagon has eight sides of equal length and interior angles of equal measure.
#16
What is the name of a polygon with twelve sides?
Dodecagon
ExplanationA polygon with twelve sides is called a dodecagon.
#17
What is the sum of the interior angles in a dodecagon?
1800 degrees
ExplanationThe sum of interior angles in a dodecagon totals 1800 degrees.