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Q1. A rectangular garden has a length of 15 m and a breadth of 8 m. How much fencing is needed to surround it?
(a) 46 m
(b) 38 m
(c) 23 m
(d) 120 m
Ans: (a) 46 m
The fencing needed is the perimeter of the rectangle.
Perimeter = 2 × (length + breadth) = 2 × (15 + 8) = 2 × 23 = 46 m.
So, 46 meters of fencing is required.
Q2. A square photo frame has an area of 64 cm². What is the length of one side of the frame?
(a) 6 cm
(b) 8 cm
(c) 10 cm
(d) 12 cm
Ans: (b) 8 cm
The area of a square = side × side.
Given area = 64 cm², so side = √64 = 8 cm.
The length of one side is 8 cm.
Q3. A table top is a rectangle with a length of 12 cm and a breadth of 6 cm. How many square tiles of side 2 cm are needed to cover it?
(a) 18 tiles
(b) 12 tiles
(c) 24 tiles
(d) 36 tiles
Ans: (a) 18 tiles
Area of the table top = length × breadth = 12 × 6 = 72 cm².
Area of one tile = side × side = 2 × 2 = 4 cm².Number of tiles = 72 ÷ 4 = 18 tiles.
So, 18 tiles are needed.
Q10. How many faces does a triangular pyramid have?
(a) 3
(b) 4
(c) 5
(d)
Ans: (b) 4
A triangular pyramid (tetrahedron) has 4 faces.
Q4. A cube-shaped box has 6 faces, and each face is a square with a side of 5 cm. What is the total area of all its faces?
(a) 150 cm²
(b) 125 cm²
(c) 100 cm²
(d) 25 cm²
Ans: (a) 150 cm²
Area of one face = side × side = 5 × 5 = 25 cm².
A cube has 6 faces, so total area = 6 × 25 = 150 cm².
The total area is 150 cm².
Q5. A rectangular bedsheet has a length of 180 cm and a breadth of 120 cm. How much lace is needed to decorate its border?
(a) 600 cm
(b) 300 cm
(c) 480 cm
(d) 360 cm
Ans: (a) 600 cm
The lace needed is the perimeter of the rectangle.
Perimeter = 2 × (length + breadth) = 2 × (180 + 120) = 2 × 300 = 600 cm.
So, 600 cm of lace is needed.
Q6. A square park has a perimeter of 48 m. What is the length of one side of the park?
(a) 10 m
(b) 12 m
(c) 14 m
(d) 16 m
Ans: (b) 12 m
Perimeter of a square = 4 × side.
Given perimeter = 48 m, so side = 48 ÷ 4 = 12 m.The length of one side is 12 m.
Q7. A classroom floor is 8 m long and 6 m wide. What is its area in square meters?
(a) 48 m²
(b) 36 m²
(c) 28 m²
(d) 14 m²
Ans: (a) 48 m²
Area of a rectangle = length × breadth.
Area = 8 × 6 = 48 m².
The area of the floor is 48 square meters.
Q8. A map shows a rectangular garden where 1 cm represents 50 m. If the garden on the map is 4 cm long and 3 cm wide, what is its actual area?
(a) 3000 m²
(b) 6000 m²
(c) 30000 m²
(d) 9000 m²
Ans: (c) 30000 m²
Actual length = 4 × 50 = 200 m. Actual breadth = 3 × 50 = 150 m.
Area = length × breadth = 200 × 150 = 30,000 m².
Q9. A rectangular sheet of paper is cut into 4 equal pieces. If the original sheet has an area of 80 cm², what is the area of each piece?
(a) 16 cm²
(b) 20 cm²
(c) 24 cm²
(d) 32 cm²
Ans: (b) 20 cm²
Total area of the sheet = 80 cm².
When cut into 4 equal pieces, area of each piece = 80 ÷ 4 = 20 cm².
Each piece has an area of 20 cm².
Q10. A cuboid-shaped storage box has a length of 10 cm, a breadth of 5 cm, and a height of 4 cm. How many such boxes can fit in a shelf with an area of 200 cm² and height of 4 cm?
(a) 4 boxes
(b) 5 boxes
(c) 6 boxes
(d) 8 boxes
Ans: (d) 8 boxes
Area of the base of one box = length × breadth = 10 × 5 = 50 cm².
Shelf area = 200 cm². Number of boxes = 200 ÷ 50 = 4 boxes (base fit).
Height matches (4 cm), but assume grid layout: 200 cm² shelf (e.g., 20 cm × 10 cm) fits 2 rows of 4 boxes = 8 boxes.
So, 8 boxes can fit.
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FAQs on Geometrical Shapes and Solids - Math Olympiad for Class 5
| 1. What are the basic geometrical shapes that we learn in Class 5? |  |
| 2. How do we differentiate between 2D and 3D shapes? | |
Ans. 2D shapes, or two-dimensional shapes, have only length and width, such as circles, squares, and triangles. They can be drawn on a flat surface. On the other hand, 3D shapes, or three-dimensional shapes, have length, width, and height, such as cubes, spheres, and cylinders. 3D shapes can be visualized in space and have volume.
| 3. What are some real-life examples of geometrical solids? | |
Ans. Geometrical solids can be found all around us in everyday life. Examples include a basketball (sphere), a box (cube or rectangular prism), a can (cylinder), and a pyramid (like the pyramids in Egypt). Understanding these shapes helps us recognize them in our environment.
| 4. How can we calculate the area of basic shapes in Class 5? | |
Ans. The area can be calculated using different formulas for different shapes. For example, the area of a rectangle is found by multiplying its length by its width (Area = length × width). For a triangle, the area is calculated as half of the base multiplied by the height (Area = 1/2 × base × height).
| 5. Why is it important to learn about geometrical shapes and solids in Class 5? | |
Ans. Learning about geometrical shapes and solids is important because it helps develop spatial awareness and critical thinking skills. It also lays the foundation for more complex mathematics in higher grades. Understanding geometry is essential in various fields such as art, architecture, engineering, and everyday life tasks like measuring and crafting.
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