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Important Questions and Answers for Class 8 Maths Chapter 5 Tales by Dots and Lines 2025-26

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Extra Questions of Class 8 Maths for Exam Practice and Revision

Get ready for Important Questions Class 8 Maths Chapter 5 Tales by Dots and Lines on this page. Here you’ll find class 8 science important questions with answers pdf, filled with the types of questions that often appear in CBSE exams. This is your go-to place for all must-practice questions for Class 8, Chapter 5.


Tales by Dots and Lines is a key chapter in Maths and often features in important questions for class 8 maths chapter wise. Vedantu’s Important Questions with Answers are clear and accurate to help you learn concepts and revision strategies better. These questions cover all major patterns likely seen in exams, including high-scoring subtopics.


Find stepwise answers, smart tips, and question formats that make practice easy. Using these questions saves your time and helps you revise quickly. Download the Important Questions PDF for free and prepare confidently for your Class 8 Maths exams.


Extra Questions of Class 8 Maths for Exam Practice and Revision

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1. Multiple choice questions.


1. What happens to the mean of a data set if you add the same number to every value?


  • (a) The mean increases by that number
  • (b) The mean remains the same
  • (c) The mean decreases by that number
  • (d) The mean doubles

Answer: (a) The mean increases by that number


2. If every value in a data set is multiplied by 3, what happens to the mean?


  • (a) The mean becomes three times the original mean
  • (b) The mean increases by 3
  • (c) The mean is unchanged
  • (d) The mean decreases by 3

Answer: (a) The mean becomes three times the original mean


3. The median of the numbers 3, 6, 9, 12, and 15 is:


  • (a) 6
  • (b) 9
  • (c) 12
  • (d) 15

Answer: (b) 9


4. If a value equal to the mean is added to the data set, the mean will:


  • (a) Increase
  • (b) Decrease
  • (c) Remain the same
  • (d) Double

Answer: (c) Remain the same


2. Very Short Answer (VSA).


1. Define arithmetic mean in statistics.


Answer: Arithmetic mean is the sum of all values in a data set divided by the number of values. It is also known as the average.


2. How do you determine the median in a sorted list with 7 numbers?


Answer: The median is the value at the 4th position after arranging the 7 numbers in ascending or descending order.


3. What happens to the mean if a number less than the mean is added to the collection?


Answer: The mean decreases when a number smaller than the current mean is added to the data set.


4. Why is mean called a measure of central tendency?


Answer: Mean is called a measure of central tendency because it gives the central or average value representing the data set.


3. Short Answer Questions.


1. The weights of 10 wrestlers are 42, 40, 39, 33, 48, 38, 42, 35, 32 and w. Their mean weight is 39.2 kg. Find the value of w and show the steps.


Answer:

  1. Sum of known weights = 42 + 40 + 39 + 33 + 48 + 38 + 42 + 35 + 32 = 349
  2. Mean = $\frac{349 + w}{10} = 39.2$
  3. $349 + w = 392$
  4. $w = 392 - 349 = 43$
Therefore, the missing weight is 43 kg.


2. How does the mean change if each value in the data set is increased by 5? Explain with an example.


Answer: When each value is increased by 5, the mean also increases by 5. For example, if the original data is 2, 3, 4 (mean = 3), new data is 7, 8, 9 (mean = 8).


3. In a class, family sizes and their frequencies are given as: 3(3), 4(11), 5(9), 6(7), 7(3), 8(1), 9(1), 10(1). Find the mean family size.


Answer:

  1. Multiply family sizes by frequencies: (3×3)+(4×11)+(5×9)+(6×7)+(7×3)+(8×1)+(9×1)+(10×1)=188
  2. Total families: 3+11+9+7+3+1+1+1 = 36
  3. Mean = $\frac{188}{36} = 5.22$
So, mean family size = 5.22.


4. Venkayya noted the average coconut harvest as 25.6 for 15 trees, but one count was 3 higher than actual. Calculate the correct average.


Answer:

  1. Total = 25.6 × 15 = 384
  2. Correct total = 384 – 3 = 381
  3. Correct average = 381 / 15 = 25.4
Therefore, the correct average is 25.4.


5. If the mean of the values before is a, and each value is multiplied by m, what will be the new mean? Illustrate with an example.


Answer: The new mean will be $m \times a$. For example, original mean is 4, if multiplied by 2, new mean is $2 \times 4 = 8$.


4. True or False Questions.


1. The mean is always one of the values in a data set.


Answer: False


2. Median divides the data into two equal halves when arranged in order.


Answer: True


3. Including a new value higher than the current mean increases the mean.


Answer: True


4. If every data value is decreased by 3, the mean decreases by 3.


Answer: True


5. Fill in the Blanks Questions.


1. The arithmetic mean is also known as the _______ of the data set.


Answer: average


2. The _______ is the middle value in a set arranged in order.


Answer: median


3. Adding a value equal to the mean keeps the mean _______ .


Answer: unchanged


4. To find the mean when frequencies are given, multiply each value by its _______, sum them, then divide by total frequency.


Answer: frequency


Benefits of Understanding Mean and Median in Real Life

Understanding mean and median helps students make sense of numbers around them. These central values let us quickly judge data—whether it's marks, daily routines or sports. If you’re looking for extra questions of class 8 maths, practicing these ideas is a great way to build clarity.


When you solve hard questions for class 8 maths with answers, applying mean and median makes it easier. These tools are vital for class 8 science important questions with answers pdf and strengthen problem-solving. The more you use them, the better your understanding of data handling gets.


Exploring tales by dots and lines class 8 pdf makes math fun and simple. With regular practice of important questions for class 8 maths chapter wise and related science concepts, you gain confidence to solve new types easily. Keep practicing class 8 maths extra questions pdf for stronger basics.


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FAQs on Important Questions and Answers for Class 8 Maths Chapter 5 Tales by Dots and Lines 2025-26

1. Which questions are most important for CBSE exams from Class 8 Maths Chapter 5 Tales by Dots and Lines?

Start with MCQs, case-based, and short answer questions drawn from key concepts like open/closed figures, polygons, and properties of lines. Practice long answer and extra questions focused on diagrams, reasoning, and mark distribution. Pay attention to previous year trends and highlight marking keywords for full marks.

2. Which is the hardest topic in maths class 8?

Many students find geometry chapters like Tales by Dots and Lines challenging due to visual reasoning, diagrams, and definitions. Focus on properties of shapes, angle concepts, and construction steps. Regular practice of important questions helps build confidence and score better in high-weightage questions.

3. How can I prepare answers for 3 and 5-mark questions in this chapter?

For 3/5-mark questions, use a structured approach:

  • Begin with definitions or statements.
  • Add labeled diagrams if asked.
  • Explain each step clearly.
  • Highlight keywords.
  • Conclude with the final answer or result.

4. What are the best tips for practicing extra questions of Class 8 Maths Chapter 5 effectively?

Focus first on solved important questions for class 8 maths chapter wise and then attempt unsolved extra questions. After solving:

  • Review stepwise marking.
  • Underline keywords.
  • Check diagrams for neatness and correct labeling.
Regular practice builds speed and accuracy for exams.

5. Where can I download important questions with answers PDF for Tales by Dots and Lines Class 8?

You can get the Tales by Dots and Lines class 8 pdf of important questions with answers from trusted learning platforms like Vedantu. These PDFs include exam-focused, chapter-wise practice questions and model solutions which are helpful for last-minute revision and offline study.

6. Which subtopics from Chapter 5 should I revise first for high-weightage questions?

Begin with open and closed figures, types of polygons, properties of line segments, and diagram-related questions. These appear often as expected questions in class tests and board exams. Cover definitions and properties thoroughly before moving to case-based or HOTS questions for full exam coverage.

7. Are diagrams compulsory in important questions for Class 8 Maths Chapter 5?

For many geometry questions in this chapter, neat diagrams are compulsory and carry step marks. Always read the question carefully—if diagrams are needed, draw and label clearly, use a ruler, and follow all conventions. Well-drawn figures can help you get marks even if the written part is partial.