ICSE 10 Maths
Ratio and Proportion (Including Properties and Uses)
Question 1:
What quantity must be subtracted from each term of the ratio 9: 17 to make it equal to 1: 3? [Level: Easy]
Question 2:
The work done by (x – 2) men in (4x + 1) days and the work done by (4x + 1) men in (2x – 3) days are in the ratio 3: 8. Find the value of x. [Level: Moderate]
Question 3:
By increasing the cost of entry ticket to a fair in the ratio 10: 13, the number of visitors to the fair has decreased in the ratio 6: 5. In what ratio has the total collection increased or decreased? [Level: Moderate]
Question 4:
In a basket, the ratio between the number of oranges and the number of apples is 7: 13. If 8 oranges and 11 apples are eaten, the ratio between the number of oranges and the number of apples becomes 1: 2. Find the original number of oranges and the original number of apples in the basket. [Level: Moderate]
Question 5:
If x + 5 is the mean proportional between x + 2 and x + 9; find the value of x. [Level: Difficult]
Question 6:
Find duplicate ratio of: [Level: Easy]
(i) 3: 4
(ii) 3√3 : 2√5
Question 7:
Find the sub-triplicate ratio of: [Level: Moderate]
(i) 64 : 27
(ii) : 3
Question 8:
Find the fourth proportional to: [Level: Difficult]
(i) 1.5, 4.5 and 3.5
(ii) 3a, 6 and 2a
Question 9:
If three quantities are in continued proportion; show that the ratio of the first to the third is the duplicate ratio of the first to the second. [Level: Difficult]
Question 10:
If 5x + 6y : 8x + 5y = 8 : 9, find x : y. [Level: Moderate]
Question 11:
What quantity must be added to each term of the ratio x : y so that it may become equal to c : d? [Level: Difficult]
Question 12:
If A : B = 3 : 4 and B : C = 6 : 7, find A : B : C. [Level: Moderate]
Question 13:
If 2a = 3b and 4b = 5c, find a : c. [Level: Moderate]
Question 14:
There are 36 members in a student council in a school and the ratio of the number of boys to the number of girls is 3: 1. How any more girls should be added to the council so that the ratio of the number of boys to the number of girls may be 9: 5? [Level: Difficult]
Question 15:
Find the triplicate ratio of 2 : 3. [Level: Easy]
Question 16:
If (x + 3) : (4x + 1) is the duplicate ratio of 3 : 5, find the value of x. [Level: Moderate]
Question 17:
Find the sub-duplicate ratio of 9 : 16. [Level: Easy]
Question 18:
If (3x – 9) : (5x + 4) is the duplicate ratio of 3 : 4, find the value of x. [Level: Moderate]
Question 19:
If a : b = 3 : 8, find the value of . [Level: Easy]
Question 20:
Find the ratio compounded of the reciprocal ratio of 15: 28, the sub-duplicate ratio of 36: 49 and the triplicate ratio of 5: 4. [Level: Moderate]
**********
In summary, problem-solving after learning a theoretical concept on CBSE Ratio and Proportion (Including Properties and Uses) ICSE 10 Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.
You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.
Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.
All About Daily Practice Problems on ICSE 10 Maths Ratio and Proportion (Including Properties and Uses) NCERT Chapter 7
Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on ICSE 10 Maths Ratio and Proportion (Including Properties and Uses) NCERT Chapter 7 useful.
Last but not least, to get the best hold on ICSE 10 Maths Ratio and Proportion (Including Properties and Uses) NCERT Chapter 7, do not forget to check out: