Daily Practice Problems Quadratic Equations

Question 1:

The product of two consecutive integers is 56. Find the integers. [Level: Easy]

Question 2:

Is x = 5 a solution of the quadratic equation x2 – 2x – 15 = 0? [Level: Moderate]

Question 3:

Find the value of ‘p’, if the following quadratic equations have equal roots :

+ (p – 3)x + p = 0 [Level: Moderate]

Question 4:

Determine whether x = -1 is a root of the equation – 3x +2 = 0 or not. [Level: Moderate]

Question 5:

One root of the quadratic equation 8 + mx + 15 is . Find the value of m. Also, find the other root of the equation. [Level: Difficult]

Question 6:

The sum of the squares of two consecutive natural numbers is 41. Find the numbers. [Level: Easy]

Question 7:

One root of the quadratic equation – 3x – 2ax – 6a = 0 is -3, find its other root. [Level: Moderate]

Question 8:

If p – 15 = 0 and 2 + 15x + 15 = 0; find the values of x. [Level: Difficult]

Question 9:

Find the two natural numbers which differ by 5 and the sum of whose squares is 97. [Level: Difficult]

Question 10:

Find the solution of the equation 2 -mx – 25n = 0; if m + 5 = 0 and n – 1 = 0. [Level: Moderate]

Question 11:

The sum of the square of two positive integers is 208. If the square of larger number is 18 times the smaller number, find the numbers. [Level: Difficult]

Question 12:

Find the value of m for which the equation + (m + 1)x + 1 = 0 has real and equal roots. [Level: Moderate]

Question 13:

Find the value of k for which equation 4 + 8x – k = 0 has real roots. [Level: Moderate]

Question 14:

Find two consecutive positive odd numbers, the sum of whose squares is 74. [Level: Difficult]

Question 15:

Three positive numbers are in the ratio 1/2 : 1/3 : 1/4. Find the numbers if the sum of their squares is 244. [Level: Easy]

Question 16:

Divide 20 into two parts such that three times the square of one part exceeds the other part by 10. [Level: Moderate]

Question 17:

Three consecutive natural numbers are such that the square of the middle number exceeds the difference of the squares of the other two by 60. Assume the middle number to be x and form a quadratic equation satisfying the above statement. Hence; find the three numbers. [Level: Easy]

Question 18:

The sum of the ages of Vivek and his younger brother Amit is 47 years. The product of their ages in years is 550. Find their ages. [Level: Moderate]

Question 19:

In a two digit number, the ten’s digit is bigger. The product of the digits is 27 and the difference between two digits is 6. Find the number.[ Level: Easy]

Question 20:

Two years ago, a man’s age was three times the square of his son’s age. In three years time, his age will be four times his son’s age. Find their present ages. [Level: Moderate]

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Problem-solving on ICSE 10 Maths Quadratic Equations NCERT Chapter 5 after learning a theoretical concept is crucial for several reasons:

Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic ICSE 10 Maths Quadratic Equations you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in ICSE 10 Maths Quadratic Equations NCERT Chapter 5, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Quadratic Equations ICSE 10 Maths in practical scenarios helps you remember them better than passive reading or memorization.
Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Quadratic Equations ICSE 10 Maths Notes on LearnoHub.com
Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Quadratic Equations. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Quadratic Equations ICSE 10 Maths Online Tests at LearnoHub.com.
Enhancing Creativity: Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.
Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
Improving Decision Making: Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

In summary, problem-solving after learning a theoretical concept on CBSE Quadratic Equations 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 Quadratic Equations NCERT Chapter 5

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 Quadratic Equations NCERT Chapter 5 useful.

Last but not least, to get the best hold on ICSE 10 Maths Quadratic Equations NCERT Chapter 5, do not forget to check out:

Quadratic Equations ICSE 10 Maths Best videos
Quadratic Equations ICSE 10 Maths NCERT Solutions
ICSE 10 Maths Quadratic Equations Revision notes
Quadratic Equations ICSE 10 Maths DPPs, Download PDF of solutions
ICSE 10 Maths Quadratic Equations Online Tests
ICSE 10 Maths Sample papers