Day 59: CBSE Class 10 Maths

5 questions (8 parts). Try each one first, then open its answer.

Question 1
Surface Areas and Volumes. This type asked 2 times: 2025, 2026. This one: 2026
28 $A right circular cylinder and a right circular cone have equal bases and equal heights. If their curved surface areas are in the ratio 8 : 5, then find the ratio between the radius of their bases to their height.$
Question 2
Surface Areas and Volumes. This type asked 2 times: 2024, 2026. This one: 2026
16 $\text{cm}^3$
Tap an option to check your answer.
Question 3 (case study, 4 parts)
Areas Related to Circles. This type asked 2 times: 2024, 2025. This one: 2025
A farmer has a circular piece of land. He wishes to construct his house in the form of largest possible square within the land as shown below. The radius of circular piece of land is 35 m. Based on given information, answer the following questions :
36 (i) $Find the length of wire needed to fence the entire land.$
36 (ii) $Find the length of each side of the square land on which house will be constructed.$
36 (iii) (a) $The farmer wishes to grow grass on the shaded region around the house. Find the cost of growing the grass at the rate of ₹ 50 per square metre.$
36 (iii) (b) $Find the ratio of area of land on which house is built to remaining area of circular piece of land.$
Question 4
Arithmetic Progressions. This type asked 2 times: 2023, 2025. This one: 2025
33 (b) $The minimum age of children eligible to participate in a painting competition is 8 years. It is observed that the age of the youngest boy was 8 years and the ages of the participants, when seated in order of age, have a common difference of 4 months. If the sum of the ages of all the participants is 168 years, find the age of the eldest participant in the painting competition.$
Question 5
Arithmetic Progressions. This type asked 2 times: 2024, 2025. This one: 2025
31 $1^{\text{st}}$

Question 1

Question 2

Question 3 (case study, 4 parts)

Question 4

Question 5