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Class 5 Exam > Class 5 Notes > Math Olympiad for Class 5 > Practice Questions: Geometrical Shapes and Solids

Practice Questions: Geometrical Shapes and Solids | Math Olympiad for Class 5 PDF Download

Q1: A rectangle has a length of 15 cm and a breadth of 10 cm. What is its area?
Ans: 150 cm²

Area of a rectangle = length × breadth
= 15 × 10 = 150 cm².

Q2: A square has an area of 64 cm². What is the length of its side?
Ans: 8 cm

Area of a square = side × side
So, side² = 64
Side = √64 = 8 cm.

Q3: Find the perimeter of a square with a side length of 7 cm.
Ans: 28 cm

Perimeter of a square = 4 × side
= 4 × 7 = 28 cm.

Q4: Calculate the perimeter of a rectangle with a length of 18 cm and a breadth of 12 cm.
Ans: 60 cm

Perimeter of a rectangle = 2 × (length + breadth)
= 2 × (18 + 12) = 2 × 30 = 60 cm.

Q5: A cube has a side length of 5 cm. How many square faces does it have?
Ans: 6 faces

A cube has six equal square faces.

Q6: A cylinder has two circular bases with a radius of 7 cm. What is the area of one base?
Ans: 154 cm²

Area of a circle = π × radius²
= 3.14 × 7 × 7 = 153.86 ≈ 154 cm².

Q7: A triangle has a base of 10 cm and a height of 8 cm. What is its area?
Ans: 40 cm²

Area of a triangle = ½ × base × height
= ½ × 10 × 8 = 40 cm².

Q8: A garden has a rectangular shape with a length of 25 meters and a width of 15 meters. Find the area of the garden.
Ans: 375 m²

Area of a rectangle = length × width
= 25 × 15 = 375 m².

Q9: The perimeter of a square park is 120 m. Find the length of one side of the park.
Ans: 30 m

Perimeter of a square = 4 × side
So, 120 = 4 × side
Side = 120 ÷ 4 = 30 m.

Q10: A bedsheet measures 200 cm by 150 cm. How much lace will be required to cover the edges of the bedsheet?
Ans: 700 cm

Perimeter of the bedsheet = 2 × (length + breadth)
= 2 × (200 + 150) = 2 × 350 = 700 cm.

Q11: If the length of a rectangle is 18 cm and its area is 216 cm², what is its breadth?
Ans: 12 cm

Area of rectangle = length × breadth
216 = 18 × breadth
Breadth = 216 ÷ 18 = 12 cm.

Q12: A square-shaped tile has a side of 9 cm. How many such tiles will be needed to cover an area of 810 cm²?
Ans: 10 tiles

Area of one tile = side × side = 9 × 9 = 81 cm²
Number of tiles = total area ÷ area of one tile
= 810 ÷ 81 = 10 tiles.

Q13: Find the area of a square park whose perimeter is 64 m.
Ans: 256 m²

Perimeter of square = 4 × side
64 = 4 × side
Side = 64 ÷ 4 = 16 m
Area of the square = side × side
= 16 × 16 = 256 m².

Q14: A rectangular board has a length of 12 cm and a breadth of 8 cm. How many square sheets with a side of 4 cm are required to cover the board?
Ans: 6 sheets

Area of board = length × breadth
= 12 × 8 = 96 cm²
Area of one square sheet = side × side
= 4 × 4 = 16 cm²
Number of sheets required = area of board ÷ area of one sheet
= 96 ÷ 16 = 6 sheets.

Q15: A room's floor is 6 meters long and 4 meters wide. If tiles with an area of 1 m² each are used to cover the floor, how many tiles will be needed?
Ans: 24 tiles

Area of the floor = length × width
= 6 × 4 = 24 m²
Each tile covers 1 m², so 24 tiles will be needed.

The document Practice Questions: Geometrical Shapes and Solids | Math Olympiad for Class 5 is a part of the Class 5 Course Math Olympiad for Class 5.

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FAQs on Practice Questions: Geometrical Shapes and Solids - Math Olympiad for Class 5

1. What are the basic geometrical shapes that we learn in Class 5?

Ans. In Class 5, we learn about basic geometrical shapes such as squares, rectangles, circles, triangles, and polygons. Each shape has unique properties, such as the number of sides and angles, which help us understand their characteristics and differences.

2. How do we differentiate between 2D and 3D shapes?

Ans. 2D shapes, or two-dimensional shapes, have only length and width, like squares and circles. In contrast, 3D shapes, or three-dimensional shapes, have length, width, and height, such as cubes, spheres, and cones. The additional dimension in 3D shapes gives them volume and allows them to occupy space.

3. Can you explain the properties of a triangle?

Ans. A triangle is a three-sided polygon with three corners or vertices. The sum of its interior angles is always 180 degrees. Triangles can be classified based on their sides (equilateral, isosceles, and scalene) and their angles (acute, right, and obtuse), each having unique properties.

4. What is the difference between a solid shape and a flat shape?

Ans. A solid shape has three dimensions and occupies space, such as a cube, sphere, or cylinder. These shapes have volume and can be measured in terms of capacity. A flat shape, meanwhile, is two-dimensional and only has length and width, like a square or circle, and does not occupy space.

5. How can we find the area of different geometrical shapes?

Ans. The area of a shape is the space it covers. For example, the area of a rectangle can be found by multiplying its length by its width (Area = length × width). For a triangle, the area is calculated using the formula (Area = 1/2 × base × height). Each shape has a specific formula to determine its area, which we learn in Class 5.

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