Day 223: CBSE Class 10 Maths

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

Question 1
Pair of Linear Equations in Two Variables. Asked once: 2024
30 $A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days, she has to pay ₹ 1,500 as hostel charges while another student B, who takes food for 26 days, pays ₹ 1,800. Find the fixed charges and the cost of food.$
Question 2 (case study, 4 parts)
Real Numbers. Asked once: 2024
Teaching Mathematics through activities is a powerful approach that enhances students’ understanding and engagement. Keeping this in mind, Ms. Mukta planned a prime number game for class 5 students. She announces the number 2 in her class and asked the first student to multiply it by a prime number and then pass it to second student. Second student also multiplied it by a prime number and passed it to third student. In this way by multiplying to a prime number, the last student got 173250. Now, Mukta asked some questions as given below to the students :
38 (i) $What is the least prime number used by students ?$
38 (ii) (a) $How many students are in the class ?$
38 (ii) (b) $What is the highest prime number used by students ?$
38 (iii) $Which prime number has been used maximum times ?$
Question 3
Triangles. Asked once: 2025
9 $Which of the following statements is incorrect ?$
Tap an option to check your answer.
Question 4
Circles. Asked once: 2023
22 $PA \cdot PB = PC^2 - AC^2$
Question 5
Coordinate Geometry. Asked once: 2023
17 $\dfrac{x}{a} + \dfrac{y}{b} = 1$
Tap an option to check your answer.

Question 1

Question 2 (case study, 4 parts)

Question 3

Question 4

Question 5