Geometry for 5th Graders: Master Shapes and Their Properties

Question 1

Imagine a square spinning like a wheel. If it turns 90 degrees to the right, what will its new position be?

Accepted Answer

It will spin 90 degrees to the right.

Answer

It will stay in the same spot.

Answer

It will spin 90 degrees to the left.

Answer

It will spin 180 degrees to the right.

Question 2

Examine the following polygon:

```
         /|\
        / | \
       /  |  \
      /   |   \
     /    |    \
```

Is the given polygon convex or concave?

Accepted Answer

Convex

Answer

Concave

Question 3

A sphere has a diameter of 6 centimeters. What is its volume?

Accepted Answer

36π cm³

Answer

18π cm³

Answer

54π cm³

Answer

27π cm³

Question 4

Find the radius of a sphere with a surface area of 254.47 square centimeters.

Accepted Answer

3.57 centimeters

Answer

2 centimeters

Answer

5 centimeters

Answer

10 centimeters

Question 5

Which shape is NOT a polygon?

Accepted Answer

Circle

Answer

Triangle

Answer

Square

Answer

Rectangle

Question 6

How many sides does a decagon have?

Accepted Answer

10

Answer

8

Answer

12

Answer

14

Question 7

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

Accepted Answer

360°

Answer

180°

Answer

270°

Answer

450°

Question 8

Which of the following is a regular polygon?

Accepted Answer

A shape with all sides and angles equal

Answer

A shape with only two parallel sides

Answer

A shape with three sides that are all the same length

Answer

A shape with four sides that are all equal

Question 9

Which property does NOT belong to a square?

Accepted Answer

Four equal diagonals

Answer

Four equal sides

Answer

Four right angles

Answer

Two pairs of parallel sides

Question 10

How many sides does a hexagon have?

Accepted Answer

6

Answer

4

Answer

8

Answer

10

Question 11

What is the area of a rectangle with a length of 5 cm and a width of 3 cm?

Accepted Answer

15 cm²

Answer

8 cm²

Answer

20 cm²

Answer

25 cm²

Question 12

Which shape has the most sides?

Accepted Answer

Hexagon

Answer

Triangle

Answer

Quadrilateral

Answer

Pentagon

Question 13

Which shape is a three-dimensional figure?

Accepted Answer

Cube

Answer

Circle

Answer

Triangle

Answer

Rectangle

Question 14

How many angles does a pentagon have?

Accepted Answer

5

Answer

4

Answer

6

Answer

7

Question 15

Which shape has 4 equal sides and 4 right angles?

Accepted Answer

Square

Answer

Circle

Answer

Triangle

Answer

Rectangle

Question 16

How many sides does a pentagon have?

Accepted Answer

5

Answer

3

Answer

4

Answer

6

Question 17

Which of these is NOT a property of a circle?

Accepted Answer

Has no sides

Answer

Has no corners

Answer

Has a radius

Answer

Has a diameter

Question 18

Which shape is a polygon?

Accepted Answer

Square

Answer

Circle

Answer

Star

Answer

Oval

Question 19

What is the volume of a cube with an edge length of 4 cm?

Accepted Answer

64 cm³

Answer

16 cm³

Answer

48 cm³

Answer

84 cm³

Question 20

Which shape has the most sides?

Accepted Answer

Decagon

Answer

Heptagon

Answer

Octagon

Answer

Nonagon

Question 21

What is the point where two lines meet called?

Accepted Answer

Intersection

Answer

Endpoint

Answer

Vertex

Answer

Center

Question 22

Which formula is used to calculate the area of a trapezoid?

Accepted Answer

A = ½ (b1 + b2) h

Answer

A = π r²

Answer

A = s²

Answer

A = ½ (l x w)

Question 23

A decagon is a shape with how many sides?

Accepted Answer

Ten

Answer

Five

Answer

Eight

Answer

Twelve

Question 24

In a polygon, what is the relationship between the number of sides and the number of angles?

Accepted Answer

The number of angles is always equal to the number of sides.

Answer

The number of angles is less than the number of sides.

Answer

The number of angles is always greater than the number of sides.

Answer

The number of angles is not related to the number of sides.

Question 25

A rectangular prism has a length of 6 centimeters, a width of 4 centimeters, and a height of 3 centimeters. Calculate its volume and surface area.

Accepted Answer

Volume: 72 cm³, Surface area: 84 cm²

Answer

Volume: 24 cm³, Surface area: 72 cm²

Answer

Volume: 72 cm³, Surface area: 108 cm²

Question 26

A cone has a radius of 3 centimeters and a height of 4 centimeters. A cylinder has the same height as the cone and a radius of 5 centimeters. Which shape has a greater volume?

Accepted Answer

Cylinder

Answer

Cone

Answer

Both have the same volume

Question 27

A cube has a side length of 5 centimeters (cm). What is the radius of the largest sphere that can fit inside the cube?

Accepted Answer

2.5 cm

Answer

5 cm

Answer

10 cm

Answer

12.5 cm

Question 28

Which of the following describes the relationship between the corresponding sides of similar triangles?

Accepted Answer

Proportional in length

Answer

Equal in length

Answer

Different in length

Question 29

An octagon has 8 equal sides, and each side of this regular octagon measures 4 cm. What is its perimeter and area?

Accepted Answer

Perimeter: 32 cm, Area: 64 cm²

Answer

Perimeter: 36 cm, Area: 56 cm²

Answer

Perimeter: 24 cm, Area: 48 cm²

Question 30

Calculate the perimeter of a square with a side length of 4 centimeters.

Accepted Answer

16 centimeters

Answer

4 centimeters

Answer

8 centimeters

Answer

24 centimeters

Question 31

What is the definition of a line of symmetry?

Accepted Answer

A line that divides a shape into two equal parts

Answer

A line that intersects two or more lines at right angles

Answer

A line that passes through the center of a circle

Answer

A line that is parallel to another line

Question 32

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

Accepted Answer

Vertex

Answer

Edge

Answer

Base

Answer

Altitude

Question 33

A shape with four equal sides and four right angles is a:

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Answer

Circle

Question 34

A hexagon has how many sides?

Accepted Answer

6

Answer

4

Answer

8

Answer

10

Question 35

An angle that measures exactly 90 degrees is called a:

Accepted Answer

Right angle

Answer

Acute angle

Answer

Obtuse angle

Answer

Straight angle

Question 36

Which of the following is NOT a property of a circle?

Accepted Answer

It has two parallel lines

Answer

It has 360 degrees

Answer

It has no sides

Answer

It has a center point

Question 37

A three-dimensional shape with six square faces is a:

Accepted Answer

Cube

Answer

Cuboid

Answer

Cylinder

Answer

Sphere

Question 38

A triangular pyramid has how many vertices?

Accepted Answer

4

Answer

3

Answer

5

Answer

6

Question 39

The area of a rectangle is calculated using the formula:

Accepted Answer

Length x Width

Answer

Length + Width

Answer

Length - Width

Answer

Length / Width

Question 40

Which quadrilateral is unique in having all sides and angles equal?

Accepted Answer

Square

Answer

Trapezoid

Answer

Parallelogram

Answer

Rectangle

Question 41

What is the meeting point of two or more line segments called?

Accepted Answer

Vertex

Answer

Side

Answer

Endpoint

Answer

Edge

Question 42

Which shape is defined by having three sides and three angles?

Accepted Answer

Triangle

Answer

Square

Answer

Circle

Answer

Rectangle

Question 43

What mathematical operation is used to find the area enclosed within a rectangle?

Accepted Answer

Length × Width

Answer

Length - Width

Answer

Length + Width

Answer

Width × Height

Question 44

Which polygon is characterized by having all sides equal and all angles equal?

Accepted Answer

Regular Polygon

Answer

Concave Polygon

Answer

Convex Polygon

Answer

Equilateral Triangle

Question 45

Which formula is used to calculate the distance around a rectangle?

Accepted Answer

2(Length + Width)

Answer

Length × Width

Answer

Length - Width

Answer

Length + Width

Question 46

What tool is specifically designed to measure angles?

Accepted Answer

Protractor

Answer

Compass

Answer

Calipers

Answer

Ruler

Question 47

Which property is NOT true for a square?

Accepted Answer

It has curved sides

Answer

It has four equal sides

Answer

It is a quadrilateral

Answer

It has four right angles

Question 48

Find the area of a triangle with a base length of 5 cm and a height of 3 cm.

Accepted Answer

7.5 cm²

Answer

20 cm²

Answer

10 cm²

Answer

15 cm²

Question 49

Which of these is a type of polygon?

Accepted Answer

Hexagon

Answer

Circle

Answer

Sphere

Answer

Cone

Question 50

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

Accepted Answer

720°

Answer

1080°

Answer

360°

Answer

540°

Question 51

Which of the following is a three-dimensional shape?

Accepted Answer

Sphere

Answer

Circle

Answer

Square

Answer

Triangle

Question 52

Which of the following is a similarity between a circle and a square?

Accepted Answer

They have rotational symmetry

Answer

They have the same number of sides

Answer

They have the same circumference

Answer

They have the same area

Question 53

Which of these shapes has four straight sides and four angles?

Accepted Answer

Square

Answer

Circle

Answer

Trapezoid

Answer

Triangle

Question 54

A regular hexagon has how many sides?

Accepted Answer

6

Answer

4

Answer

8

Question 55

Which type of triangle has two equal sides?

Accepted Answer

Isosceles

Answer

Rectangle

Answer

Circle

Answer

Square

Question 56

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

Accepted Answer

0.5 * base * height

Answer

base + height

Answer

length * width

Answer

π * radius^2

Question 57

What is the measure of the angle formed when two adjacent radii of a circle are drawn?

Accepted Answer

90 degrees

Answer

45 degrees

Answer

360 degrees

Answer

180 degrees

Question 58

Which of these is a three-dimensional shape?

Accepted Answer

Cube

Answer

Triangle

Answer

Circle

Answer

Square

Question 59

Which of these is a transformation that moves a shape without changing its size or shape?

Accepted Answer

Rotation

Answer

Multiplication

Answer

Addition

Answer

Subtraction

Question 60

What is the scale factor of a shape that is enlarged by a factor of 2?

Accepted Answer

2

Answer

0.5

Answer

3

Answer

4

Question 61

Which shape has four equal sides and four right angles?

Accepted Answer

Square

Answer

Circle

Answer

Triangle

Answer

Rectangle

Question 62

How many sides does a hexagon have?

Accepted Answer

6

Answer

8

Answer

4

Answer

10

Question 63

Which of these is a three-dimensional shape?

Accepted Answer

Cube

Answer

Square

Answer

Triangle

Answer

Circle

Question 64

What is the perimeter of a square with a side length of 4 cm?

Accepted Answer

16 cm

Answer

8 cm

Answer

20 cm

Answer

12 cm