Space & Geometry - Year 4

1. How many sides does this shape have?

3

4

5

6

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The shape in question has five sides.

Explanation

The shape in question has five sides.

2. How many faces does this shape have?

2

8

6

3

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This shape has 6 faces.

Explanation

This shape has 6 faces.

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5. Which of these angles is acute?

A

B

C

D

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Angle B is acute because it measures less than 90 degrees. In a triangle, an acute angle is defined as an angle that is less than 90 degrees. Since angle B is smaller than 90 degrees, it is considered acute.

Explanation

Angle B is acute because it measures less than 90 degrees. In a triangle, an acute angle is defined as an angle that is less than 90 degrees. Since angle B is smaller than 90 degrees, it is considered acute.

6. What type of shape will this net create?

A cube

A triangular prism

A triangular pyramid

A rectangular pyramid

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The net shown in the question consists of three triangular faces meeting at a single vertex. This configuration is characteristic of a triangular pyramid, also known as a tetrahedron. Therefore, the correct answer is a triangular pyramid.

Explanation

The net shown in the question consists of three triangular faces meeting at a single vertex. This configuration is characteristic of a triangular pyramid, also known as a tetrahedron. Therefore, the correct answer is a triangular pyramid.

7. Is this polygon regular?

Yes

No

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A regular polygon is a polygon that has all sides and angles equal. Since the question does not provide any information about the polygon, we cannot determine its properties. Therefore, it is not possible to say with certainty whether the polygon is regular or not.

Explanation

A regular polygon is a polygon that has all sides and angles equal. Since the question does not provide any information about the polygon, we cannot determine its properties. Therefore, it is not possible to say with certainty whether the polygon is regular or not.

8. How many sides does this shape have?

0

1

2

3

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The shape in question does not have any sides. It appears to be a circle, which is a closed curve with no straight sides. Therefore, the correct answer is 0.

Explanation

The shape in question does not have any sides. It appears to be a circle, which is a closed curve with no straight sides. Therefore, the correct answer is 0.

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10. What object is in the tray, fifth from left in the back row?

Frog

Ring

Pencil

Dice

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The correct answer is "Dice" because it is the fifth object from the left in the back row.

Explanation

The correct answer is "Dice" because it is the fifth object from the left in the back row.

11. What objects is in the tray, second from left in the middle row?

Frog

Ring

Pencil

Dice

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The correct answer is Frog.

Explanation

The correct answer is Frog.

12. Select the objects that are spheres:

A

B

C

D

E

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Objects B and D are spheres because they have a round shape with no edges or corners. A sphere is a three-dimensional shape that is perfectly symmetrical, with all points on its surface equidistant from its center. Objects A, C, and E do not have a spherical shape, so they are not the correct answer.

Explanation

Objects B and D are spheres because they have a round shape with no edges or corners. A sphere is a three-dimensional shape that is perfectly symmetrical, with all points on its surface equidistant from its center. Objects A, C, and E do not have a spherical shape, so they are not the correct answer.

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13. Which of these angles is obtuse?

A

B

C

D

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Angle C is the correct answer because an obtuse angle is any angle that measures greater than 90 degrees but less than 180 degrees.

Explanation

Angle C is the correct answer because an obtuse angle is any angle that measures greater than 90 degrees but less than 180 degrees.

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16. How many faces does this shape have?

0

1

2

3

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This shape has only one face.

Explanation

This shape has only one face.

17. Which of these angles is a right-angle?

A

B

C

D

E

F

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Angles A and D are right angles because they both measure 90 degrees. In a right angle, one side is perpendicular to the other, forming a 90-degree angle. Therefore, angles A and D fit this definition and are considered right angles.

Explanation

Angles A and D are right angles because they both measure 90 degrees. In a right angle, one side is perpendicular to the other, forming a 90-degree angle. Therefore, angles A and D fit this definition and are considered right angles.

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18. Which of these angles are smaller than 90 degrees:

A

B

C

D

E

F

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Angles C and F are smaller than 90 degrees because the given question asks for angles that are smaller than 90 degrees. Therefore, based on the information provided, angles C and F meet this criterion as they are less than 90 degrees.

Explanation

Angles C and F are smaller than 90 degrees because the given question asks for angles that are smaller than 90 degrees. Therefore, based on the information provided, angles C and F meet this criterion as they are less than 90 degrees.

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19.