CBSE Class 6 Mathematics Revision Worksheet Set 11

PREPARE AN ATTRACTIVE SCRAP BOOK INCLUDING:

Question 1. Make a collage on different types of mathematical numbers and write their description.
Answer: To create this collage in your scrapbook, collect pictures, newspaper clippings, or magazine cutouts that represent numbers. Divide your collage page into different sections, one for each major type of number, and provide the following descriptions:
1. Natural Numbers: Counting numbers starting from 1, i.e., \(1, 2, 3, 4, \dots\)
2. Whole Numbers: Natural numbers including zero, i.e., \(0, 1, 2, 3, 4, \dots\)
3. Integers: Set of all whole numbers and their negative counterparts, i.e., \(\dots, -3, -2, -1, 0, 1, 2, 3, \dots\)
4. Even Numbers: Numbers exactly divisible by 2, i.e., \(2, 4, 6, 8, \dots\)
5. Odd Numbers: Numbers not divisible by 2, i.e., \(1, 3, 5, 7, 9, \dots\)
6. Prime Numbers: Numbers greater than 1 having only two factors - 1 and the number itself, i.e., \(2, 3, 5, 7, 11, \dots\)
7. Composite Numbers: Numbers having more than two factors, i.e., \(4, 6, 8, 9, 10, \dots\)
In simple words: A number collage visually groups different number families like whole numbers, primes, and integers with short definitions.

Exam Tip: Clearly differentiate between prime and composite numbers, noting that 1 is neither prime nor composite.

Question 2. Design a T- shirt with a mathematical design/ quotation and discuss about the different sizes available.
Answer:
1. T-Shirt Design Idea: Draw or paste a sketch of a T-shirt featuring a mathematical quotation such as "Math is like life - if it gets hard, it means you are progressing" or a geometric fractal/Fibonacci spiral pattern.
2. Discussion on Sizes: Discuss standard clothing sizes available in the market (e.g., Small, Medium, Large, Extra Large). Include measurements for chest width and length in centimeters (e.g., Medium size: chest = 96 cm, length = 70 cm) to connect fashion with practical measurement units.
In simple words: Create a creative math-themed T-shirt design and explain its standard sizing measurements in centimeters.

Exam Tip: Use neat sketches and label all dimensions with proper units when combining art with mathematics.

Question 3. Write the population of 10 cities and do the following in tabular form:
Answer: Below is a sample completed table representing 10 major cities with their population figures, Indian and International numeration formats, place value and face value of a specific digit (e.g., the digit in the ten-thousands place), and rounded estimation to the nearest lakh (100,000).

In simple words: Record population numbers for 10 cities and convert them using Indian commas, International commas, place values, face values, and rounding.

Exam Tip: Remember that Indian numeration groups digits in threes initially and then in twos (e.g., 1,24,42,373), whereas International numeration groups digits strictly in threes (e.g., 12,442,373).

Question 4. Interview your family members to know about their physical fitness and collect data in the format given:
Answer: Below is a sample completed table representing data collected from family members, including conversions from kilograms to grams and centimeters to meters.

In simple words: Interview family members, note their age, weight, and height, and convert weights from kilograms to grams by multiplying by 1000, and heights from centimeters to meters by dividing by 100.

Exam Tip: Always state conversion formulas clearly: 1 kg = 1000 g and 1 m = 100 cm.

Question 5. Do the assignment given from R.S. Aggarwal (reference book)
Answer: Complete all practice exercises and chapter test assignments from your prescribed reference textbook (R.S. Aggarwal, Class 6 Mathematics) in your holiday homework notebook or scrapbook.
In simple words: Solve the designated math problems from your R.S. Aggarwal textbook as part of your holiday assignment.

Exam Tip: Show all working steps clearly and maintain a neat index for your reference book assignments.