Day 73: CBSE Class 10 Maths

5 questions (11 parts). Try each one first, then open its answer.

Question 1 (case study, 4 parts)
Quadratic Equations. Asked once: 2023 (same type asked 4 times)
While designing the school year book, a teacher asked the student that the length and width of a particular photo is increased by $x$ units each to double the area of the photo. The original photo is 18 cm long and 12 cm wide. Based on the above information, answer the following questions :
36 (I) $Write an algebraic equation depicting the above information.$
36 (II) $Write the corresponding quadratic equation in standard form.$
36 (III) $What should be the new dimensions of the enlarged photo ?$
36 (III) OR $x$
Question 2
Statistics. Asked once: 2024 (same type asked 4 times)
18 $After an examination, a teacher wants to know the marks obtained by maximum number of the students in her class. She requires to calculate _____ of marks.$
Tap an option to check your answer.
Question 3 (case study, 4 parts)
Statistics. Asked once: 2024 (same type asked 4 times)
Activities like running or cycling reduce stress and the risk of mental disorders like depression. Running helps build endurance. Children develop stronger bones and muscles and are less prone to gain weight. The physical education teacher of a school has decided to conduct an inter school running tournament in his school premises. The time taken by a group of students to run 100 m, was noted as follows :
Time (in seconds) 0 – 20 20 – 40 40 – 60 60 – 80 80 – 100
Number of students 8 10 13 6 3
Based on the above, answer the following questions :
38 (i) $What is the median class of the above given data ?$
38 (ii) (a) $Find the mean time taken by the students to finish the race.$
38 (ii) (b) $Find the mode of the above given data.$
38 (iii) $How many students took time less than 60 seconds ?$
Question 4
Areas Related to Circles. Asked once: 2026 (same type asked 3 times)
14 $\text{cm}^2$
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Question 5
Areas Related to Circles. Asked once: 2026 (same type asked 3 times)
17 $\theta$
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Question 1 (case study, 4 parts)

Question 2

Question 3 (case study, 4 parts)

Question 4

Question 5