Exam Questions & Step-by-Step Markschemes (48 Problems)
Question 1 • 2024
4 Marks
A toy is in the form of a cone of radius 3.5\text{ cm} mounted on a hemisphere of same radius. The total height of the toy is 15.5\text{ cm} . Find the total surface area of the toy. (Use \pi = \frac{22}{7} )
Answer: 214.5\text{ cm}^2
Question 2 • 2024
4 Marks
A toy is in the form of a cone of radius 3.5\text{ cm} mounted on a hemisphere of same radius. The total height of the toy is 15.5\text{ cm} . Find the total surface area of the toy. (Take \pi = 22/7 )
Answer: \text{Total Surface Area} = 214.5\text{ cm}^2
Question 3 • 2024
5 Marks
Water in a canal, 6 m wide and 1.5 m deep, is flowing with a speed of 10 km/h. How much area will it irrigate in 30 minutes, if 8 cm of standing water is needed for irrigation?
Answer: \text{Area} = 562,500 \text{ m}^2 \quad (56.25 \text{ hectares})
Question 4 • 2024
4 Marks
A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 2\text{ cm} and the diameter of the base is 4\text{ cm} . Determine the volume of the toy. (Take \pi = 3.14 )
Answer: V = 25.12\text{ cm}^3
Question 5 • 2026
1 Marks
Assertion (A): The surface area of the cuboid formed by joining two cubes of sides 4 cm each, end to end, is 160 cm ^2 .<br>Reason (R) : Surface area of a cuboid of dimensions l \times b \times h is (lb + bh + hl)
Answer: (c) Assertion (A) is true but Reason (R) is false
Question 6 • 2025
1 Marks
A cone of height 12 cm and slant height 13 cm is surmounted on a hemisphere having radius equal to that of cone. The entire height of the solid is
Answer: Option (A) : 17 cm