Easy Level Worksheet Questions
Part A: Subjective Questions
Note: Answer each question with steps and explanation. Write down the answers on sheet and submit to the school subject teacher.
(1) Define a polygon.
Excellent! A polygon is a closed figure formed by connecting line segments at their endpoints, creating a bounded shape.
(2) Write the number of sides in a hexagon.
Perfect! The prefix "hexa" means six, so a hexagon has 6 sides and 6 vertices.
(3) How many diagonals does a pentagon have?
Correct! A pentagon has 5 diagonals, calculated using the formula n(n-3)/2 where n=5.
(4) Write Euler's formula for polyhedra.
Outstanding! Euler's formula F + V = E + 2 relates faces, vertices, and edges in any polyhedron.
(5) Name a solid that has only one curved surface.
Brilliant! A sphere is the only 3D solid with just one continuous curved surface and no edges or vertices.
Drag each polygon to its correct number of sides:
(1) Find the sum of the interior angles of a hexagon.
(a) Formula: Sum =
(b) For hexagon: n = 6, so Sum = (6 - 2) × 180° =
Excellent! The sum of interior angles is 720°, which demonstrates that hexagons have larger angle sums than simpler polygons.
(2) Draw a net of a cube. (Draw this on your answer sheet)
(a) A cube has
(b) Net shows all faces
Perfect! A net displays all 6 faces unfolded in a flat pattern that can be folded back into the original cube.
(3) Find the measure of each interior angle of a regular octagon.
(a) Sum of interior angles = (8 - 2) × 180° =
(b) Each angle = 1080° ÷ 8 =
Outstanding! Each interior angle in a regular octagon measures 135°, showing the symmetry of regular polygons.
(4) A polyhedron has 6 faces, 8 vertices. Find the number of edges using Euler's formula.
(a) Euler's formula:
(b) 6 + 8 = E + 2, so E =
Brilliant! Using Euler's formula, this polyhedron has 12 edges, demonstrating the fundamental relationship between faces, vertices, and edges.
Test your understanding with these multiple choice questions:
6. A solid with 2 circular faces and 1 curved surface is:
(a) Sphere (b) Cone (c) Cylinder (d) Cube
Correct! A cylinder has 2 circular bases and 1 curved lateral surface.
7. The sum of the exterior angles of a polygon is always:
(a) 90° (b) 180° (c) 270° (d) 360°
Correct! The sum of exterior angles of any polygon is always 360°.
8. A solid having only one face is:
(a) Sphere (b) Cone (c) Cylinder (d) Cube
Correct! A sphere has only one curved surface (face) with no edges or vertices.
9. The number of edges in a rectangular prism is:
(a) 8 (b) 12 (c) 6 (d) 10
Correct! A rectangular prism has 12 edges (4 on top, 4 on bottom, 4 vertical).
10. Each interior angle of a regular hexagon is:
(a) 100° (b) 110° (c) 120° (d) 130°
Correct! Sum of angles = (6-2) × 180° = 720°. Each angle = 720° ÷ 6 = 120°.