Day 41: CBSE Class 10 Maths

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

Question 1
Triangles. This type asked 4 times: 2023, 2024, 2025, 2026. This one: 2026
7 $ABCD is a parallelogram such that AF = 7 cm, FB = 3 cm and EF = 4 cm, length FD = equals$
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Question 2
Quadratic Equations. This type asked 4 times: 2022, 2023, 2024, 2025. This one: 2025
24 (a) $4x^2 + kx + 1 = 0$
Question 3 (case study, 4 parts)
Quadratic Equations. This type asked 4 times: 2022, 2023, 2024, 2025. This one: 2024
A rectangular floor area can be completely tiled with 200 square tiles. If the side length of each tile is increased by 1 unit, it would take only 128 tiles to cover the floor.
36 (i) $Assuming the original length of each side of a tile be x units, make a quadratic equation from the above information.$
36 (ii) $Write the corresponding quadratic equation in standard form.$
36 (iii) (a) $Find the value of x, the length of side of a tile by factorisation.$
36 (iii) (b) $Solve the quadratic equation for x, using quadratic formula.$
Question 4
Statistics. This type asked 4 times: 2022, 2023, 2024, 2025. This one: 2025
16 $If the maximum number of students has obtained 52 marks out of 80, then$
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Question 5 (case study, 4 parts)
Statistics. This type asked 4 times: 2022, 2023, 2024, 2025. This one: 2024
Activities like running or cycling reduce stress and the risk of mental disorder 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 :
37 (i) $What is the median class of the above given data ?$
37 (ii) (a) $Find the mean time taken by the students to finish the race.$
37 (ii) (b) $Find the mode of the above given data.$
37 (iii) $How many students took time less than 60 seconds ?$

Question 1

Question 2

Question 3 (case study, 4 parts)

Question 4

Question 5 (case study, 4 parts)