Enhanced Curriculum Support
This is a comprehensive educational resource designed to provide students with the tools and guidance necessary to excel. This support system is structured to cater to various aspects of learning, ensuring that students are well-prepared for academic challenges and practical applications of mathematical concepts. Some are the key benefits are mentioned below:
1.Comprehensive Learning: This holistic approach helps students gain a thorough understanding of the subject. Practical Application: The resources encourage students to apply mathematical concepts to real-life scenarios, enhancing their practical understanding and problem-solving skills.
2.Critical Thinking and Reasoning: Value-Based and HOTS questions promote critical thinking and reasoning abilities. These skills are crucial for students to tackle complex problems and make informed decisions.
3.Exam Preparedness: Sample Question Papers and Practice Questions provide ample practice for exams. They help students familiarize themselves with the exam format and types of questions, reducing exam anxiety.
4.Ethical and Moral Development: Value-Based Questions integrate ethical and moral lessons into the learning process, helping in the overall development of students' character and social responsibility. By incorporating these diverse elements, Enhanced Curriculum Support aims to provide a robust and well-rounded knowledge, preparing students for both academic success and real-world challenges.
Sec A
1.Define the term "pictogram" and explain how it can be used to represent data visually..
2.What is meant by "categorical data" in data handling? Give two examples of categorical data.
3.If the scores of five students in a quiz are 15, 18, 21, 15, and 20, identify the mode of the data.
4.Explain how a tally chart helps in organizing data. Give an example of a simple tally chart.
Sec B
1. A teacher asked students about their favorite colors, and the responses were as follows.
Red: 7 , Blue: 5 , Green: 4 , Yellow: 6
(i) Create a tally chart to organize this data.
(ii) Using this tally chart, determine which color was the most popular and which was the least popular.
2. A fruit vendor records the types of fruits sold in a day as follows.
Apples: 8, Oranges: 5, Bananas: 10, Mangoes: 7
(i) Represent this data in a pictograph where each symbol represents 2 fruits sold.
(ii) Based on your pictograph, answer: Which fruit was sold the most, and by how much?
3. A class keeps track of books read by students over a month with the following data.
1 book: 3 students , 2 books: 5 students , 3 books: 4 students , 4 books: 2 students
(i) Organize this data using tally marks.
(ii) Which number of books was read by the largest group of students?
4. The following data represents the number of hours five students spent on homework in a week.
5, 3, 4, 5, 2, 3, 4, 5, 4, 3
(i) Use tally marks to organize this data.
(ii) Identify the mode and discuss what it reveals about the students' homework habits.
Sec C
1.A survey records the number of pets owned by different households as follows.
1 pet: 6 households , 2 pets: 4 households , 3 pets: 3 households , 4 pets: 2 households
(i) Create a tally chart for this data.
(ii) Based on the tally chart, find the most common number of pets owned.
(iii) If each pet requires an average of 30 minutes of daily care, estimate the total care time required by households owning 3 pets.
2. A shop records the number of each type of pastry sold in a day.
Cupcake: 10, Donut: 8, Eclair: 5, Croissant: 7
(i) Represent this information in a pictograph using one symbol to represent 2 pastries.
(ii) Analyze the pictograph to answer: Which pastry was the most popular? How many more croissants were sold than eclairs?
3. In a week, a library recorded the number of people visiting each day as follows.
Monday: 20, Tuesday: 15, Wednesday: 10, Thursday: 18, Friday: 22
(i) Draw a pictograph to represent this data, using one symbol for every 5 people.
(ii) Using the pictograph, identify the day with the highest number of visitors and the day with the lowest.
(iii) How might this data help the library staff in planning?
Sec D
1.A bakery records the number of muffins sold each day over a week as follows.
Monday: 10, Tuesday: 15, Wednesday: 12, Thursday: 8, Friday: 15, Saturday: 20, Sunday: 18
Represent this data in a pictograph where each symbol represents 5 muffins.
Based on your pictograph:
(i) Identify the day with the highest muffin sales.
(ii) Calculate the difference in sales between the day with the highest sales and the day with the lowest.
(iii) Discuss how the bakery could use this information to better manage muffin stock on different days.
2. A sports coach tracks the number of hours players practiced each day in a week.
Monday: 2, Tuesday: 4, Wednesday: 3, Thursday: 4, Friday: 2, Saturday: 3, Sunday: 5
(i) Create a tally chart to organize this data.
(ii) Find the mode of practice hours and discuss what it tells you about the weekly practice routine.
(iii) If each hour of practice burns 300 calories, estimate the total calories burned by a player who practiced on each day of the week.
3. In a class, students were asked how many hours they spend on hobbies in a week. The responses were as follows.
1 hour: 4 students , 2 hours: 6 students , 3 hours: 5 students , 4 hours: 3 students
(i) Create a pictograph for this data, with one symbol representing 2 students.
(ii) Based on the pictograph, identify the most common number of hours spent on hobbies.
(iii) How might knowing this information help in planning school activities that cater to students' interests?
4. A class conducted a survey on the number of siblings each student has. The data is as follows.
0 siblings: 3 students , 1 sibling: 8 students , 2 siblings: 6 students , 3 siblings: 4 students
(i) Use tally marks to represent this data.
(ii) Determine the mode and explain its significance in understanding family size trends in this class.
(iii) If each sibling requires an average of 2 hours of help with homework per week, estimate the total time spent helping siblings among students with 2 siblings.
Problem 1
Reading Habit Survey
In a school, students were surveyed on the number of books they read in a month. The data collected was as follows.
0 books: 4 students
1 book: 6 students
2 books: 8 students
3 books: 5 students
(i) Represent this data using tally marks.
(ii) Discuss how promoting reading habits can benefit students. How could the school encourage students who read fewer books to develop a stronger reading habit?
(iii) Suggest ways the school could set up activities, such as book clubs or reading challenges, to inspire teamwork and a love for learning among students.
Problem 2
Waste Segregation Campaign
A group of students is tracking how many households in their community separate waste for recycling each week. The data collected is as follows.
10 households recycle plastic waste
8 households recycle paper waste
5 households recycle both plastic and paper
2 households do not recycle
(i) Organize this data into a pictograph where each symbol represents 2 households.
(ii) Based on the pictograph, identify the area where recycling awareness could be improved.
(iii) Why is it important for communities to participate in recycling? Discuss how students can help raise awareness about waste segregation and its benefits to the environment.
Q1
A teacher organizes a community clean-up drive and records the number of hours volunteered by students from four different classes.
Class 6A: 10 hours
Class 6B: 7 hours
Class 6C: 8 hours
Class 6D: 5 hours
(i) Create a pictograph for this data, where each symbol represents 2 hours.
(ii) Based on your pictograph, identify which class showed the most involvement.
(iii) How can such activities promote social responsibility among students? Propose two ways the school could recognize and encourage such community service efforts.
Q2
A school librarian recorded the types of books borrowed by students in a week, as shown below.
Fiction: 12 books
Non-fiction: 8 books
Science: 5 books
History: 7 books
(i) Represent this data in a pictograph, using one symbol to represent 2 books.
(ii) Analyze the pictograph and suggest why fiction books might be the most borrowed.
(iii) If the librarian wants to encourage students to explore non-fiction books, what strategies could they use based on this data? Suggest one or two ideas.
Questions
1. The marks (out of 10) obtained by 28 students in a Mathematics test are listed as below.
8, 1, 2, 6, 5, 5, 5, 0, 1, 9, 7, 8, 0, 5, 8, 3, 0, 8, 10, 10, 3, 4, 8, 7, 8, 9, 2, 0
The number of students who obtained marks more than or equal to 5 is
(A) 13 (B) 15 (C) 16 (D) 17
2. In question 2 above, the number of students who scored marks less than 4 is
(A) 15 (B) 13 (C) 12 (D) 10
3. According to data of question 4, which fruit is liked by most of the students?
(A) O (B) G (C) M (D) A
state whether the given statements are true (T) or false (F).
4. In a bar graph, the width of bars may be unequal.
5. In a bar graph, each bar (rectangle) represents only one value of the numerical data.
6.An observation occurring five times in a data is recorded as 
, using tally marks.
Fill the Blanks
7. A ? is a collection of numbers gathered to give some meaningful information.
8. In a bar graph, ? can be drawn horizontally or vertically.
9. An observation occurring seven times in a data is represented as ? using tally marks.
10.On the scale of 1 unit length = 10 crore, the bar of length 6 units will represent ? crore and ? units will represent 75 crore.
11. The number of two wheelers owned individually by each of 50 families are listed below. Make a table using tally marks.
1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 3, 1, 2, 1, 1, 2, 1, 2, 3, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 4, 1, 3, 1, 1, 2, 1, 1, 1, 1, 2, 3, 2, 1, 1
Find the number of families having two or more, two wheelers
12. Thirty students were interviewed to find out what they want to be in future. Their responses are listed as below.
doctor, engineer, doctor, pilot, officer, doctor, engineer, doctor, pilot, officer, pilot, engineer, officer, pilot, doctor, engineer, pilot, officer, doctor, officer, doctor, pilot, engineer, doctor, pilot, officer, doctor, pilot, doctor, engineer
Arrange the data in a table using tally marks.
13.The number of bottles of cold drinks sold by a shopkeeper on six consecutive days is as follows.
| Day | Sunday | Monday | Tuesday | Wednesday | Thursday | Friday |
|---|---|---|---|---|---|---|
| Number of bottles | 350 | 200 | 300 | 250 | 100 | 150 |
Prepare a pictograph of the data using one symbol to represent 50 bottles.
14. The following table gives information about the circulation of newspapers (dailies) in a town in five languages.
| Language | English | Hindi | Tamil | Punjabi | Gujarati |
|---|---|---|---|---|---|
| Number of newspaper | 5000 | 8500 | 500 | 2500 | 1000 |
Prepare a pictograph of the above data, using a symbol of your choice, each representing 1000 newspapers.
15. The number of ATMs of different banks in a city is shown below.
| Bank | Number of ATMs |
|---|---|
| Syndicate Bank | 5 |
| Dena Bank | 15 |
| Indian Bank | 20 |
| State Bank of India | 25 |
| Vijaya Bank | 10 |
Draw a bar graph to represent the above information by choosing the scale of your choice.
16. The following table shows the area of the land on which different crops were grown.
| Crop | Area of land |
|---|---|
| Rice | 50 |
| Wheat | 30 |
| Pulses | 20 |
| Sugarcane | 25 |
| Cotton | 15 |
Prepare a pictograph by choosing a suitable symbol to represent 10 million hectares.
Q1
The following is a pictograph representing the number of wristwatches manufactured by a factory over a week. Each symbol represents 10 wristwatches.
| Days | Number of wrist watches manufactured |
|---|---|
| Monday |  |
| Tuesday |  |
| Wednesday | |
| Thursday | |
| Friday | |
| Saturday | |
Questions:
1. On which day were the least number of wristwatches manufactured?
2. On which day were the maximum number of wristwatches manufactured?
(c) Find out the approximate total number of wristwatches manufactured in the particular week.
Sol 1
(a) Least Number of Wristwatches Manufactured:
The least number of wristwatches were manufactured on Sunday (10 wristwatches).
(b) Maximum Number of Wristwatches Manufactured:
The maximum number of wristwatches were manufactured on Saturday (90 wristwatches).
(c) Approximate Total Number of Wristwatches Manufactured:
To find the total, add the number of wristwatches manufactured each day:
Monday: 40
Tuesday: 70
Wednesday: 30
Thursday: 50
Friday: 40
Saturday: 90
Sunday: 10
Total = 40 + 70 + 30 + 50 + 40 + 90 + 10 = 330
Approximately 330 stars were manufactured in the particular week.