Stage 3 Year 5 Space And Geometry

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6)

This is a dodecahedron. It has ______ vertices.

A dodecahedron is a three-dimensional geometric shape that consists of 12 regular pentagonal faces. Each vertex of the dodecahedron is where three of these faces meet. Since each face has 5 vertices, there are a total of 20 vertices in a dodecahedron.

Explanation

A dodecahedron is a three-dimensional geometric shape that consists of 12 regular pentagonal faces. Each vertex of the dodecahedron is where three of these faces meet. Since each face has 5 vertices, there are a total of 20 vertices in a dodecahedron.

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7) How many sides does an icosahedron have? Only write the number.

An icosahedron is a three-dimensional geometric shape that consists of 20 equilateral triangular faces. Therefore, the correct answer is 20.

Explanation

An icosahedron is a three-dimensional geometric shape that consists of 20 equilateral triangular faces. Therefore, the correct answer is 20.

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8) How many sides does a dodecagon have?

A dodecagon is a polygon with twelve sides. The prefix "dodeca-" in Greek means twelve, so a dodecagon has twelve sides. Each side of a dodecagon is equal in length, and the interior angles add up to 1800 degrees.

Explanation

A dodecagon is a polygon with twelve sides. The prefix "dodeca-" in Greek means twelve, so a dodecagon has twelve sides. Each side of a dodecagon is equal in length, and the interior angles add up to 1800 degrees.

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9)

How many angles of this shape are smaller than a right angle? Only write the number.

There are 4 angles in the shape that are smaller than a right angle.

Explanation

There are 4 angles in the shape that are smaller than a right angle.

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10) How many angles of this shape are larger than a right angle? Only write the number.

The shape in question has two angles that are larger than a right angle.

Explanation

The shape in question has two angles that are larger than a right angle.

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11) Fill in the blank space. A polygon is a 2D (flat) shape with _______ or more straight sides. (Use a number.)

A polygon is a 2D shape with 3 or more straight sides. A polygon is defined as a closed figure with straight sides, and the minimum requirement for a shape to be considered a polygon is to have at least 3 sides. Therefore, the correct answer is 3.

Explanation

A polygon is a 2D shape with 3 or more straight sides. A polygon is defined as a closed figure with straight sides, and the minimum requirement for a shape to be considered a polygon is to have at least 3 sides. Therefore, the correct answer is 3.

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12) • opposite sides are parallel • all sides are of equal length • all 4 interior angles are right angles • if you draw in the diagonals, right angles are formed where they intersect I am a _____________________________

A square is a shape that has opposite sides that are parallel, meaning they never intersect. Additionally, all sides of a square are of equal length, which makes it a regular quadrilateral. Another defining characteristic of a square is that all four interior angles are right angles, meaning they measure 90 degrees. Lastly, if you draw in the diagonals of a square, they intersect at right angles, further confirming its shape. Therefore, based on the given characteristics, the shape described is a square.

Explanation

A square is a shape that has opposite sides that are parallel, meaning they never intersect. Additionally, all sides of a square are of equal length, which makes it a regular quadrilateral. Another defining characteristic of a square is that all four interior angles are right angles, meaning they measure 90 degrees. Lastly, if you draw in the diagonals of a square, they intersect at right angles, further confirming its shape. Therefore, based on the given characteristics, the shape described is a square.

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13) • all 4 sides are equal in length • opposite sides are parallel • 4 interior angles • opposite angles are equal • if you draw in the diagonals, right angles are formed where they intersect

A rhombus is a quadrilateral with several defining characteristics. Firstly, all four sides of a rhombus are equal in length. Additionally, opposite sides of a rhombus are parallel to each other. A rhombus also has four interior angles. Furthermore, the opposite angles in a rhombus are equal. Lastly, if you draw in the diagonals of a rhombus, right angles are formed where they intersect. Therefore, based on these characteristics, the given shape can be identified as a rhombus.

Explanation

A rhombus is a quadrilateral with several defining characteristics. Firstly, all four sides of a rhombus are equal in length. Additionally, opposite sides of a rhombus are parallel to each other. A rhombus also has four interior angles. Furthermore, the opposite angles in a rhombus are equal. Lastly, if you draw in the diagonals of a rhombus, right angles are formed where they intersect. Therefore, based on these characteristics, the given shape can be identified as a rhombus.

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14)

A

B

C

D

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Explanation

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15)

The cross section of this shape is a

Rectangle

Square

An irregular shape

Triangle

The given question asks for the cross section of a shape. A cross section is the shape formed when a solid object is cut by a plane. Since a triangle is a three-sided polygon, it is a possible shape for a cross section. Therefore, the correct answer is triangle.

Explanation

The given question asks for the cross section of a shape. A cross section is the shape formed when a solid object is cut by a plane. Since a triangle is a three-sided polygon, it is a possible shape for a cross section. Therefore, the correct answer is triangle.

16)

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Explanation

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18)

Angle A is equal to

B

C

D

F

The given question states that angle A is equal to angles B, C, D, and F. Therefore, the correct answer is C.

Explanation

The given question states that angle A is equal to angles B, C, D, and F. Therefore, the correct answer is C.

19) This shape has _____________ vertices

14

26

12

18

This shape has 12 vertices.

Explanation

This shape has 12 vertices.

20)

10

8

12

6

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Explanation

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21)

Triangular pyramid

Rectangular prism

Triangular prism

Rectangular pyramid

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Explanation

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22)

15 degrees

25 degrees

75 degrees

105 degrees

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Explanation

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23)

Triangular pyramid

Square pyramid

Triangular prism

Pentagonal pyramid

Hexagonal prism

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Explanation

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24)

How many more blocks would you need to add to make these blocks into a cube. The smallest number that would create a cube without moving any of the original blocks.

27

36

19

15

To make these blocks into a cube without moving any of the original blocks, we need to find the difference between the number of blocks we have and the number of blocks needed to form a cube. In this case, we have 27 blocks, and a cube requires 3x3x3=27 blocks. Therefore, we need to add 19 more blocks to make these blocks into a cube.

Explanation

To make these blocks into a cube without moving any of the original blocks, we need to find the difference between the number of blocks we have and the number of blocks needed to form a cube. In this case, we have 27 blocks, and a cube requires 3x3x3=27 blocks. Therefore, we need to add 19 more blocks to make these blocks into a cube.

25)

What is the size of angle A. ____ degrees.

60

40

80

70

Angle A is 70 degrees because it is the only option provided in the answer choices. The question asks for the size of angle A, and out of the given options, 70 degrees is the only value provided.

Explanation

Angle A is 70 degrees because it is the only option provided in the answer choices. The question asks for the size of angle A, and out of the given options, 70 degrees is the only value provided.

26)

A

B

C

A AND B

C AND B

A AND C

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Explanation

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27)

Which of these shapes has the fewest lines of symmetry

A

B

C

D

Shape A has the fewest lines of symmetry compared to shapes B, C, and D.

Explanation

Shape A has the fewest lines of symmetry compared to shapes B, C, and D.

28)

This 3D shape is a

Semi-circle

Half sphere

Hemisphere

Semisphere

A hemisphere is a 3D shape that is formed by half of a sphere. It has a curved surface and a flat circular base. In this case, the shape described in the question is a hemisphere because it is stated that it is a "semi-circle" and "half sphere," both of which are terms commonly used to refer to a hemisphere. The other options, such as semicircle and semisphere, do not accurately describe a 3D shape and are not commonly used terms.

Explanation

A hemisphere is a 3D shape that is formed by half of a sphere. It has a curved surface and a flat circular base. In this case, the shape described in the question is a hemisphere because it is stated that it is a "semi-circle" and "half sphere," both of which are terms commonly used to refer to a hemisphere. The other options, such as semicircle and semisphere, do not accurately describe a 3D shape and are not commonly used terms.

29)

These lines would be best described as

Perpendicular lines

Convex lines

Concave line

Parallel lines

Double perpendicular stripes

The given lines are described as parallel lines because they never intersect and are always equidistant from each other.

Explanation

The given lines are described as parallel lines because they never intersect and are always equidistant from each other.

30)

A

B

C

D

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Explanation

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31) A shape can be a square, a parallelogram and a rhombus all at the same time.

True

False

Yes because it has 2 pairs of parallel sides, all sides are equal and the opposite angles are equal.

Explanation

Yes because it has 2 pairs of parallel sides, all sides are equal and the opposite angles are equal.

32)

Triomino

Tetrahedron

Triangular prism

Triangle

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Explanation

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33)

Concave

Convex

Concircular

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Explanation

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34) Which shape am I? Circle the correct answer. I have 4 sides but I am not a square. My opposite angles are equal and not all sides are the same length. I have 2 pairs of parallel lines.

I am a rectangle.

I am a parallelogram.

I am a rhombus.

The shape described in the question has 4 sides, opposite angles that are equal, and not all sides are the same length. These characteristics match the definition of a parallelogram, which is a quadrilateral with opposite sides that are parallel and equal in length. Therefore, the correct answer is "I am a parallelogram."

Explanation

The shape described in the question has 4 sides, opposite angles that are equal, and not all sides are the same length. These characteristics match the definition of a parallelogram, which is a quadrilateral with opposite sides that are parallel and equal in length. Therefore, the correct answer is "I am a parallelogram."

35)

This is the net of a ______________________.

Pentahedron

Dodecahedron

Icosahedron

Double pentagonal prism

This is the net of a dodecahedron. A dodecahedron is a three-dimensional shape with twelve faces, each of which is a regular pentagon. The net shown in the question matches the characteristics of a dodecahedron, with twelve pentagonal faces that can be folded to form the shape.

Explanation

This is the net of a dodecahedron. A dodecahedron is a three-dimensional shape with twelve faces, each of which is a regular pentagon. The net shown in the question matches the characteristics of a dodecahedron, with twelve pentagonal faces that can be folded to form the shape.