Sphere has number of faces? a. 0 b. 1 c. 2 d. 3 11. Square Pyramid has number of vertices? a. 2 b. 3 c. 4 d. 5 12. How many edges does triangular prism have? a. 12 b. 9 c. 6 d. 4 13. A solid figure with 4 faces, 6 edges and 4 vertices is called __? a. Square Pyramid c. Rectangular Pyramid b. Triangular Pyramid d. Cube 14. A round solid figure, or its surface, with every point on its surface equidis tant from center. a. cube b. prism c. sphere d. cylinder 15. This is an example of a a. cone b. cylinder c. sphere d. prism 16. This is an example of the net of a. rectangular Prism b. cube c. cone d. cylinder 17. Which of the following is the net of a cylinder? 18. Which of the following is the net of a cone? 19. Which of the following is the net of a pyramid? 20. What is the nth term of the sequence 5, 9,13….? a. 4n-1 b. 4n+1 c. 5n d. 3n + 2 21. What is the next two term of the sequence 1, 4,9,16, …? a. 25,36 b. 24,32 c. 21,33 d. 18,21 22. Which of the following is an example of equation? a. X+6 b. y+x = 15 c. 2x-6 d. 15x+4 Page 2 of 4
The Correct Answer and Explanation is:
Let’s break down each of the questions:
10. Sphere has number of faces?
Answer: a. 0
Explanation: A sphere is a perfectly round solid figure with no flat faces, edges, or vertices. All points on its surface are equidistant from the center. Unlike polyhedra, spheres don’t have distinct flat surfaces or faces.
11. Square Pyramid has number of vertices?
Answer: d. 5
Explanation: A square pyramid has 5 vertices. There are 4 vertices at the base (forming a square) and 1 vertex at the apex (the point directly above the center of the square).
12. How many edges does a triangular prism have?
Answer: b. 9
Explanation: A triangular prism has 9 edges. It has 3 edges on each of the two triangular faces (3 x 2 = 6) and 3 more edges connecting corresponding vertices of the two triangles. Thus, 6 + 3 = 9 edges.
13. A solid figure with 4 faces, 6 edges, and 4 vertices is called ____?
Answer: b. Triangular Pyramid
Explanation: A triangular pyramid (also called a tetrahedron) has 4 faces (all triangles), 6 edges, and 4 vertices. This matches the description provided in the question.
14. A round solid figure, or its surface, with every point on its surface equidistant from the center.
Answer: c. Sphere
Explanation: A sphere is defined as a solid figure where every point on its surface is equidistant from its center. This unique characteristic distinguishes it from other solids like cones or cylinders.
15. This is an example of a
Answer: c. Sphere
Explanation: If the image is showing a perfectly round, 3D shape, it’s most likely a sphere. Without the image, I’m assuming this is the correct response based on common shapes.
16. This is an example of the net of a
Answer: b. Cube
Explanation: A cube’s net is typically made up of 6 square faces arranged in a 2D pattern that can be folded to form the 3D shape. It looks like six squares connected in different ways.
17. Which of the following is the net of a cylinder?
Answer: The net of a cylinder consists of 2 circles (top and bottom) and 1 rectangle (the side). The rectangle wraps around the two circles, forming the curved surface of the cylinder.
18. Which of the following is the net of a cone?
Answer: The net of a cone consists of 1 circle (the base) and 1 sector (the curved part of the cone).
19. Which of the following is the net of a pyramid?
Answer: The net of a pyramid consists of a polygonal base (typically square or triangular) and several triangles that form the faces of the pyramid.
20. What is the nth term of the sequence 5, 9, 13….?
Answer: b. 4n + 1
Explanation: The sequence follows a pattern where each term increases by 4. The general formula for the nth term of an arithmetic sequence is an=a1+(n−1)×da_n = a_1 + (n-1) \times dan=a1+(n−1)×d, where a1a_1a1 is the first term and ddd is the common difference. Here, a1=5a_1 = 5a1=5 and d=4d = 4d=4, so the formula is an=4n+1a_n = 4n + 1an=4n+1.
21. What is the next two terms of the sequence 1, 4, 9, 16, …?
Answer: a. 25, 36
Explanation: This sequence is made up of perfect squares: 12=1,22=4,32=9,42=161^2 = 1, 2^2 = 4, 3^2 = 9, 4^2 = 1612=1,22=4,32=9,42=16, and so on. The next two terms are 52=255^2 = 2552=25 and 62=366^2 = 3662=36.
22. Which of the following is an example of an equation?
Answer: b. y + x = 15
Explanation: An equation is a mathematical statement that asserts the equality of two expressions. Option (b), y+x=15y + x = 15y+x=15, is an equation because it sets two expressions equal to each other. The other options (a, c, d) are either incomplete or algebraic expressions, not equations.
