Daily Practice Problems Algebra

Question 1:

Give expression for the following:

(a) 12 subtracted from z.

(b) 25 added to r.

(d) y divided by 8

Question 2:

If the side of an equilateral triangle is 3x, find its perimeter.

Question 3:

Complete the table and by inspection of the table, find the solution to the equation x -11 = 6

Question 4:

Fill in the blanks:

(a) 5 added to -5 = ______

(b) If x = 3, then 3x – 5 = _____

(d) If 10x – 6 = 14, then x = _____

(e) 4 less than a number x = _____

Question 5:

A starts his car from Delhi at 6.00 am to Amritsar. The uniform speed of his car is x km/h. At 12.00 noon, he finds that he is still 50 km away from Amritsar. Find the distance between Delhi and Amritsar.

Question 6:

Anshika’s Score in Science is 25 more than the two-third of her score in Sanskrit. If she scores x marks in Sanskrit, find her score in Science.

Question 7:

Here is a pattern of houses with matchsticks:

Question 8:

Think of a number, add 2 to it and then multiply the sum by 6, the result is 42.

Question 9:

The side of a regular hexagon is s cm. Find its perimeter.

Question 10:

State which of the following are equations with a variable. In the case of equations with a variable, identify the variable.

(a) x + 20 = 70

(b) 8 × 3 = 24

(d) n – 4 = 100

(e) 20b = 80

(f) < 50

Question 11:

If x = 3, find the value of the following:

(i) x – 7

(ii)) – 1

Question 12:

Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.

(i) Number 5 added to three times the product of number m and n.

(ii) Product of numbers y and z subtracted from 10.

(iii)Sum of numbers x and y subtracted from their product.

Question 13:

Complete the table and find the solution of the equation 19 – x = 13

Question 14:

True and False statement:

(i) x=-3 is the solution of the equation x + 4=1

(ii) 0 is the solution of the equation x + 1 = 1

(iii) x=20 is the solution of the equation 2x + 5 = 25

(iv) The three sides of the triangle are a,a,b. Then perimeter of the triangle is (a+b).

Question 15:

If a = 3, b = and c = , find the value of

Question 16:

Give expressions in the following cases:

(a) 5 is added to 4 times a number x

(b) Twice a number y subtracted from 9

(d) 5 is added to the sum of x and y

(e) n multiplied by 5 and 2 subtracted from the product

Question 17:

Think of a number x. Multiply it by 3 and add 5 to the product and subtract y subsequently. Find the resulting number.

Question 18:

State which of the following are equations with a variable?

(a) 12 = x – 5

(b) 2x > 7

(d) 5 + 7 = 3 + 9

(e) 7 = (11 x 5) – (12 x 4)

Question 19:

The teacher distributes 5 pencils per student. Can you tell how many pencils are needed, given the number of students? (Use ‘s’ for number of students.)

Questions 20:

Write which letters give us the same rule as that given by L.

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Problem-solving on Class 6 Maths Algebra NCERT Chapter 11 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 Class 6 Maths Algebra 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 Class 6 Maths Algebra NCERT Chapter 11, 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 Algebra Class 6 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 Algebra Class 6 Maths Notes on LearnoHub.com
Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Algebra. 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 Algebra Class 6 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 Algebra Class 6 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 Class 6 Maths Algebra NCERT Chapter 11

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 Class 6 Maths Algebra NCERT Chapter 11 useful.

Last but not least, to get the best hold on Class 6 Maths Algebra NCERT Chapter 11, do not forget to check out:

Algebra Class 6 Maths Best videos
Algebra Class 6 Maths NCERT Solutions
Class 6 Maths Algebra Revision notes
Algebra Class 6 Maths DPPs, Download PDF of solutions
Class 6 Maths Algebra Online Tests
Class 6 Maths Sample papers