Geometry for 6th Graders: Master Shapes and Angles

Question 1

Find the area of a rectangular garden with a length of 12 feet and a width of 8 feet.

Accepted Answer

96 square feet

Answer

100 square feet

Answer

24 square feet

Question 2

Which property does NOT belong to a parallelogram?

Accepted Answer

All sides are perpendicular to each other.

Answer

Opposite sides are equal in length.

Answer

Opposite angles are equal in measure.

Answer

Diagonals bisect each other.

Question 3

Calculate the perimeter of a square with a side measuring 5 cm.

Accepted Answer

20 cm

Answer

5 cm

Answer

10 cm

Answer

25 cm

Question 4

What type of angle is larger than 90 degrees but less than 180 degrees?

Accepted Answer

Obtuse angle

Answer

Acute angle

Answer

Right angle

Answer

Straight angle

Question 5

Which 3-D shape has 2 flat, circular faces and 1 curved surface?

Accepted Answer

Cylinder

Answer

Sphere

Answer

Cube

Answer

Pyramid

Question 6

What is the name of a line segment that connects two non-adjacent vertices of a quadrilateral?

Accepted Answer

Diagonal

Answer

Median

Answer

Altitude

Answer

Perpendicular bisector

Question 7

Which transformation slides a figure without changing its shape or size?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 8

What is the name of the point where all three altitudes of a triangle meet?

Accepted Answer

Orthocenter

Answer

Centroid

Answer

Circumcenter

Answer

Incenter

Question 9

What is the area of a triangle with a base of 6 centimeters and a height of 4 centimeters?

Accepted Answer

12 cm²

Answer

10 cm²

Answer

16 cm²

Answer

24 cm²

Question 10

Which of the following is NOT a type of angle?

Accepted Answer

Oblong

Answer

Acute

Answer

Obtuse

Answer

Reflex

Question 11

Which shape has the most sides?

Accepted Answer

Hexagon

Answer

Triangle

Answer

Quadrilateral

Answer

Pentagon

Question 12

What is the measure of an angle that complements an angle of 60 degrees?

Accepted Answer

90°

Answer

30°

Answer

60°

Answer

120°

Question 13

Which of these shapes is three-dimensional?

Accepted Answer

Cube

Answer

Square

Answer

Circle

Answer

Triangle

Question 14

Which of the following is a property of a circle?

Accepted Answer

All points on the circle are equidistant from the center

Answer

It has four equal sides

Answer

It has two pairs of parallel sides

Answer

It has a right angle

Question 15

Which of the following is **NOT** a characteristic of a parallelogram?

Accepted Answer

All angles are right angles

Answer

Opposite sides are parallel

Answer

Opposite angles are congruent

Answer

Diagonals bisect each other

Question 16

What is the sum of the interior angles of a triangle?

Accepted Answer

180 degrees

Answer

90 degrees

Answer

270 degrees

Answer

360 degrees

Question 17

What is the measure of an angle that is supplementary to a 60-degree angle?

Accepted Answer

180 degrees

Answer

30 degrees

Answer

90 degrees

Answer

120 degrees

Question 18

A rectangle has a length of 8 cm and a width of 5 cm. What is its perimeter?

Accepted Answer

26 cm

Answer

16 cm

Answer

32 cm

Answer

50 cm

Question 19

Which of the following is a formula for finding the area of a circle?

Accepted Answer

A = πr²

Answer

A = πr

Answer

A = 2πr

Answer

A = 4πr²

Question 20

Which of the following shapes is three-dimensional?

Accepted Answer

Cube

Answer

Square

Answer

Circle

Answer

Triangle

Question 21

Which shape has four equal sides?

Accepted Answer

Rectangle

Answer

Triangle

Answer

Circle

Answer

Oval

Question 22

Which formula is used to find the area of a rectangle?

Accepted Answer

Length x Width

Answer

Length + Width

Answer

Length - Width

Answer

(Length + Width) / 2

Question 23

Which shape is classified as a regular polygon?

Accepted Answer

Square

Answer

Triangle

Answer

Rectangle

Answer

Circle

Question 24

Which theorem relates the lengths of the sides of a right triangle?

Accepted Answer

Pythagorean Theorem

Answer

Triangle Inequality Theorem

Answer

Sine Theorem

Answer

Cosine Theorem

Question 25

Which shape is NOT considered a basic shape in geometry?

Accepted Answer

Star

Answer

Circle

Answer

Square

Answer

Rectangle

Question 26

What is the mathematical formula to calculate the area of a triangle?

Accepted Answer

A = ½ * base * height

Answer

A = π * radius

Answer

A = side * side

Answer

A = length * width

Question 27

Which shape has four equal sides and four right angles?

Accepted Answer

Square

Answer

Circle

Answer

Triangle

Answer

Pentagon

Question 28

When two lines intersect to form a right angle, what is the measurement of that angle?

Accepted Answer

90 degrees

Answer

30 degrees

Answer

60 degrees

Answer

180 degrees

Question 29

What is the term for the point where two or more lines meet?

Accepted Answer

Vertex

Answer

Angle

Answer

Side

Answer

Center

Question 30

Which transformation involves flipping a shape over a line?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 31

Which of the following angles is greater than 90 degrees?

Accepted Answer

120°

Answer

30°

Answer

60°

Answer

90°

Question 32

Which shape has the greatest number of sides?

Accepted Answer

Hexagon

Answer

Triangle

Answer

Quadrilateral

Answer

Pentagon

Question 33

Determine the volume of a cube with a side length of 3 centimeters.

Accepted Answer

27 cm³

Answer

9 cm³

Answer

12 cm³

Answer

36 cm³

Question 34

Which of the following is a three-dimensional shape?

Accepted Answer

Sphere

Answer

Circle

Answer

Triangle

Answer

Rectangle

Question 35

Which formula is used to calculate the circumference of a circle?

Accepted Answer

C = 2πr

Answer

C = πd

Answer

C = πr²

Answer

C = 4πr

Question 36

Which of the following angles is a right angle?

Accepted Answer

90 degrees

Answer

45 degrees

Answer

60 degrees

Question 37

Calculate the perimeter of a square with a side length of 6 units.

Accepted Answer

24 units

Answer

12 units

Answer

36 units

Question 38

Which of the following shapes has the most sides?

Accepted Answer

Octagon

Answer

Circle

Answer

Square

Answer

Triangle

Question 39

Find the volume of a cube with an edge length of 3 units.

Accepted Answer

27 cubic units

Answer

36 cubic units

Answer

9 cubic units

Question 40

Which of the following is a property of a parallelogram?

Accepted Answer

Opposite sides are parallel.

Answer

All angles are right angles

Answer

All sides are equal.

Answer

Has 5 sides

Question 41

Which shape has four right angles and four equal sides?

Accepted Answer

Square

Answer

Rhombus

Answer

Rectangle

Answer

Parallelogram

Question 42

What is the area of a square with sides of 10 centimeters each?

Accepted Answer

100 cm²

Answer

20 cm²

Answer

40 cm²

Answer

10 cm²

Question 43

A circle has a radius of 5 centimeters. What is its diameter?

Accepted Answer

10 cm

Answer

5 cm

Answer

15 cm

Answer

25 cm

Question 44

What type of triangle has two equal sides and two equal angles?

Accepted Answer

Isosceles triangle

Answer

Right triangle

Answer

Scalene triangle

Answer

Equilateral triangle

Question 45

Which of these is NOT a property of a parallelogram?

Accepted Answer

All sides are equal

Answer

Opposite sides are the same length

Answer

Opposite angles are equal

Answer

Opposite sides are parallel

Question 46

Which type of triangle has all sides equal in length?

Accepted Answer

Equilateral triangle

Answer

Scalene triangle

Answer

Right triangle

Answer

Isosceles triangle

Question 47

Calculate the perimeter of a square with a side length of 5 cm.

Accepted Answer

20 cm

Answer

15 cm

Answer

25 cm

Answer

10 cm

Question 48

What is an angle that measures exactly 90 degrees called?

Accepted Answer

Right angle

Answer

Acute angle

Answer

Straight angle

Answer

Obtuse angle

Question 49

Find the area of a rectangle with a length of 8 cm and a width of 4 cm.

Accepted Answer

32 sq cm

Answer

24 sq cm

Answer

12 sq cm

Answer

64 sq cm

Question 50

Which shape is NOT considered a polygon?

Accepted Answer

Circle

Answer

Pentagon

Answer

Square

Answer

Triangle

Question 51

What is the name of a line segment that passes through the center of a circle and has endpoints on the circle?

Accepted Answer

Diameter

Answer

Chord

Answer

Radius

Answer

Circumference

Question 52

What is the sum of the measures of two complementary angles?

Accepted Answer

90 degrees

Answer

180 degrees

Answer

360 degrees

Answer

45 degrees

Question 53

Calculate the volume of a cube with a side length of 3 cm.

Accepted Answer

27 cubic cm

Answer

18 cubic cm

Answer

54 cubic cm

Answer

9 cubic cm

Question 54

A quadrilateral with two pairs of parallel sides is known as:

Accepted Answer

Parallelogram

Answer

Trapezoid

Answer

Kite

Question 55

Which of the following shapes is three-dimensional?

Accepted Answer

Sphere

Answer

Circle

Answer

Square

Answer

Triangle