Enhanced Curriculum Support
This is a comprehensive educational resource designed to provide students with the tools and guidance necessary to excel. This support system is structured to cater to various aspects of learning, ensuring that students are well-prepared for academic challenges and practical applications of mathematical concepts. Some are the key benefits are mentioned below:
Comprehensive Learning: This holistic approach helps students gain a thorough understanding of the subject. Practical Application: The resources encourage students to apply mathematical concepts to real-life scenarios, enhancing their practical understanding and problem-solving skills.
Exam Preparedness: Sample Question Papers provide ample practice for exams. They help students familiarize themselves with the exam format and types of questions, reducing exam anxiety.
Sample Questions
Sec A
(1) Find the volume of a cylinder whose base radius is 3 cm and height is 7 cm.
(2) A cylindrical pencil sharpened at one end is a combination of .....
(A) a cone and a cylinder.
(B) a cone and a hemisphere.
(C) a hemisphere and a cylinder
(D) two cylinders.
(3) If a solid sphere is melted and converted into a solid cylinder, then the volume of the cylinder will .....
(A) become double. (B) remains unchanged. (C) increase. (D) decrease.
(4) The base diameter and height of a Right circular cone are 12 cm and 8 cm, then the slant height is .....
(A) 10 cm (B) 9 cm (C) 20 cm (D) 4 cm
(5) In a hemispherical bowl of 2.1 cm radius ice-cream is there. Find the volume of the bowl.
Sec B
(1) In a construction of kitchen shed at school, a truck unloaded the sand which was formed in the shape of a cone. The base radius of the cone is 2.7 m. and its height is 7 m. Find the volume of sand unloaded there.
(2) The ratio of radius and slant height of a Right circular cone is 7:25. If its curved surface area is 550
(3) The height and the base radius of a Cone and a Cylinder are equal to the radius of a Sphere. Find the ratio of their volumes.
(4) A Joker's cap is in the form of a right circular cone, whose base radius is 7 cm and slant height is 25 cm. Find it's curved surface area.
(5) A right circular cylinder has radius 3.5 cm and height 14 cm. Find curved surface area.
Sec C
(1) Find the area of shaded region in figure, if ABCD is a square of side 10.5 cm and APD, BPC are semicircles (Use π =
(2) Two cubes each of volume 64
(3) How many silver coins of diameter 5 cm and thickness 4 mm have to be melted to prepare a cuboid of
(4) A toy is made with seven equal cubes of sides
(5) A strip of width 4 cm is attached to one side of a square to form a rectangle. The area of the rectangle formed is 77
Sec D
(1) Due to heavy floods in the state thousands were rendered homeless. The State Government decided to provide canvas for 1500 tents. The lower part of each tent is cylindrical of base radius 2.8 meters and height 3.5 meters with conical upper part of same base radius but of height 2.1 meters. If the canvas used to make the tent costs Rs 100 per square meter, find the total cost of canvas to construct the tents.
(2) A metallic vessel is in the shape of a cylinder surmounted over a hemisphere. The radii of cylinder and hemisphere are same and the height of the cylindrical part is 10 cm. If the outer surface area of the vessel is 748 cm², then find their radii.
(3) The sum of the radius of base and height of a solid right circular cylinder is 37 cm. If it's total surface area is 1628 square centimetres (