MATHS (W)

Chapter 1: Knowing Our NumbersRead Moreâž”

Worksheet: Knowing Our Numbers

Section A: Multiple Choice Questions (1 mark each)

  1. What type of number is 0? a. Natural b. Whole c. Integer d. Rational

  2. Arrange the following numbers in descending order: 3, -1, 5, -2. a. 5, 3, -1, -2 b. 5, 3, -2, -1 c. -2, -1, 3, 5 d. -1, 3, -2, 5

  3. Write the number 7.5 in expanded form. a. 7 + 0.5 b. 7 + 0.05 c. 7 + 0.5 + 0.05 d. 7 + 0.05 + 0.5

Section B: Fill in the Blanks (1 mark each)

  1. 14 is a __________ number.

  2. The product of any number and 0 is ___________.

  3. The number 2/3 is an example of a __________ number.

Section C: Problem Solving (2 marks each)

  1. Solve the following and express your answer in words: 6×(−4)

  2. Write the prime factorization of 48.

  3. A rectangular field is 15 meters long and 8 meters wide. Find its perimeter.

Section D: True/False (1 mark each)

  1. True or False: All natural numbers are whole numbers.

  2. True or False: -8 is a positive integer.

Section E: Short Answer (2 marks each)

  1. Explain the difference between a prime number and a composite number.

  2. Represent the number 450 in word form.

Section F: Application (3 marks each)

  1. A temperature of -5 degrees Celsius is how many degrees below freezing?

  2. A shopkeeper had 450 pencils. If he sells 25% of them, how many pencils are left?

Answer Key:

  1. c
  2. c
  3. c
  4. even
  5. 0
  6. rational
  7. -24 (Twenty-four)
  8. 24×3
  9. 46 meters
  10. True
  11. False
  12. A prime number has exactly two distinct positive divisors: 1 and itself. A composite number has more than two positive divisors.
  13. Four hundred fifty
  14. Five degrees below freezing
  15. 337.5 pencils

Feel free to adjust the questions based on the depth you want to cover in the lesson and the understanding level of your students.

Chapter 2: Whole NumbersRead Moreâž”

Worksheet: Whole Numbers

Name:______________________ Class:______ Date:________

A. Identify the Whole Numbers

  1. Write the first five whole numbers.

    • ______, ______, ______, ______, ______

  2. Circle the whole numbers in the list below:

    • 12, 5.6, 8, 15.2, 3, 0, 10.5, 7

  3. Place the following numbers on the number line:

    • ∘ 6 ∘ 9 ∘ 14 ∘ 2 ∘ 11

B. Operations with Whole Numbers

  1. Solve the following addition problems:

    • 27+14= ______
    • 40+8= ______
    • 63+21= ______

  2. Complete the subtraction:

    • 50−18= ______
    • 35−12= ______
    • 72−29= ______

C. Word Problems

  1. There are 45 apples in a basket. If 20 more apples are added, how many apples are there in total?

  2. John has 15 candies. If he gives 7 candies to his friend, how many candies does he have left?

D. True or False

  1. 85−42=43 (True/False)

  2. 60+30=85 (True/False)

E. Fill in the blanks

  1. The _______ whole number is zero.

  2. The successor of 18 is _______.

  3. The sum of 25 and 14 is _______.

Feel free to modify the difficulty level and the number of questions based on the specific needs of your students.

Chapter 3: Playing With NumbersRead Moreâž”

Worksheet: Playing With Numbers

Name:____________________ Class:__________________ Date:_________________

Section A: Multiple Choice Questions (1 mark each)

  1. Which of the following numbers is divisible by both 2 and 3? a. 15 b. 24 c. 35 d. 48

  2. What is the smallest prime number? a. 0 b. 1 c. 2 d. 3

  3. Find the factors of 18. a. 1, 2, 3, 6, 9, 18 b. 1, 2, 4, 9, 18 c. 1, 2, 3, 4, 6, 9, 12, 18 d. 1, 3, 6, 9, 18

Section B: True/False (1 mark each)

  1. True/False: A prime number has exactly two distinct positive divisors.

  2. True/False: Multiples of a number are always greater than the number itself.

Section C: Short Answer Questions (2 marks each)

  1. Determine whether 42 is a multiple of 7.

  2. Write down the first five multiples of 5.

  3. Explain the difference between prime and composite numbers.

Section D: Application Problems (3 marks each)

  1. Sarah has 24 chocolates. She wants to share them equally among her 4 friends. How many chocolates will each friend get?

  2. The product of two numbers is 36, and their sum is 14. Find the two numbers.

Section E: Crossword Puzzle

![Crossword Puzzle](link to the image of the puzzle)

Across

  1. A number that has exactly two distinct positive divisors.

Down 2. The result of multiplying a number by an integer.

Section F: Reflect and Review

  1. Write a short paragraph explaining how understanding divisibility rules, factors, and multiples can be useful in solving everyday problems.

This worksheet covers various aspects of the chapter, including divisibility, prime numbers, factors, multiples, and real-life problem-solving. Feel free to adjust the difficulty level and content based on your students’ needs and the specifics of your curriculum.

Chapter 4: Basic Geometrical IdeasRead Moreâž”

Class 6 Mathematics Worksheet

Chapter: Basic Geometrical Ideas

Name:____________________ Roll No:________ Date:________

A. Fill in the blanks:

  1. A ________ has no size or shape.
  2. A straight path that extends indefinitely in both directions is called a ________.
  3. The points that lie on the same line are called ________.
  4. A part of a line with two endpoints is called a ________.
  5. A line with one endpoint that extends infinitely in one direction is called a ________.
  6. Two rays that share the same endpoint form an ________.
  7. The point where two rays meet is called the ________.
  8. ________ is the measure of the amount of turn between two lines.

B. Multiple Choice Questions:

  1. What is the definition of a line segment? a) A part of a line with two endpoints b) A straight path with no endpoints c) A line that extends infinitely in one direction

  2. How many endpoints does a ray have? a) None b) One c) Two

  3. Which term is used to describe the amount of turn between two lines? a) Point b) Angle c) Ray

C. True/False:

  1. A point has size and shape. (True/False)
  2. A line segment extends infinitely in both directions. (True/False)
  3. Two rays with the same endpoint form an angle. (True/False)

D. Drawing Exercises:

  1. Draw a line segment AB where A is the starting point, and B is the endpoint.

  2. Draw a ray CD where C is the endpoint.

  3. Draw an angle XYZ where Y is the vertex.

E. Problem Solving:

  1. If a line has points P, Q, and R, and point Q is between P and R, how many line segments are formed?

  2. If two rays share the same endpoint, what is the name of the figure formed?

F. Short Answer:

  1. Explain the difference between a line and a line segment.

G. Application:

  1. Look around the classroom. Identify three examples of points, lines, and angles. Describe their positions.

H. Reflection:

  1. What was the most challenging concept in this worksheet? How did you overcome it?

Note: Use a ruler, protractor, and compass if needed. Make sure your drawings are neat and accurately represent the geometric elements.

Teacher’s Note: Assess the worksheet based on accuracy, understanding of concepts, and clarity in explanations. Provide constructive feedback to enhance learning.

Chapter 5: Understanding Elementary ShapesRead Moreâž”

Worksheet: Understanding Elementary Shapes

Name:_________________________ Class: 6 Date: ________________

Instructions:

  1. Identify and name the given shapes.
  2. Classify each shape into the appropriate category (triangle, quadrilateral, circle, or polygon).
  3. Solve the problems based on the properties of shapes.

Part A: Identify and Classify

  1. Image 1
    a) Shape: _________________
    b) Category: _______________

  2. Image 2
    a) Shape: _________________
    b) Category: _______________

  3. Image 3
    a) Shape: _________________
    b) Category: _______________

  4. Image 4
    a) Shape: _________________
    b) Category: _______________

  5. Image 5
    a) Shape: _________________
    b) Category: _______________

Part B: Properties of Shapes

  1. Calculate the perimeter of the following rectangle:

    • Length = 8 cm
    • Width = 5 cm

  2. Determine the type of triangle based on its angles:

    • Angle A = 90°
    • Angle B = 45°
    • Angle C = 45°

  3. Find the area of the circle with a radius of 6 cm. (Use π = 3.14)

  4. Identify the type of polygon:

    • It has five sides.
    • All sides are of equal length.

  5. Calculate the missing angle in the quadrilateral:

    • Angle A = 90°
    • Angle B = 110°
    • Angle C = 70°

Part C: Real-Life Application

  1. Look around your classroom and list three objects that have a specific shape. Identify and name the shapes.

  2. Draw a polygon with six sides. Label the vertices and sides.

Note: You can add more questions or modify the existing ones based on the level of your students and the specific requirements of your class.

Chapter 6: IntegersRead Moreâž”

Worksheet: Understanding Integers

Name: ______________________ Class: 6 Roll No: ______ Date: ______

Instructions:

  1. Read each question carefully before answering.
  2. Show all your workings clearly.
  3. Write your answers in the space provided.

Section A: True/False

  1. _______ Integers are only positive numbers.
  2. _______ The opposite of -8 is 8.
  3. _______ The sum of two positive integers is always positive.
  4. _______ Subtracting a positive integer from another positive integer results in a negative integer.
  5. _______ The number 0 is neither positive nor negative.

Section B: Fill in the Blanks

  1. The number ______ is the additive identity.
  2. The integer that is neither positive nor negative is called ______.
  3. -3 + (-5) equals ______.
  4. The opposite of -12 is ______.
  5. The product of -6 and 2 is ______.

Section C: Integer Operations

Perform the following operations:

  1. (-7) + (-3) = ______
  2. 5 – (-8) = ______
  3. (-4) – 6 = ______
  4. 9 + (-2) = ______
  5. 2 × (-5) = ______

Section D: Real-Life Scenarios

  1. If a temperature is 5 degrees below zero and then rises by 8 degrees, what is the current temperature? Answer: ______

  2. A business gained a profit of 15 units of currency one day and faced a loss of 10 units the next day. What is the net gain or loss? Answer: ______

  3. On a hiking trip, Sarah ascended 120 meters and then descended 80 meters. What is her net elevation change? Answer: ______

Section E: Ordering Integers

Order the following integers from least to greatest:

  1. -9, 2, -15, 7, -4 Answer: ______

  2. 10, -8, 5, -12, 3 Answer: ______

Section F: Word Problems

  1. Lisa has $20. She spends $12 on a book and then earns $15 from a part-time job. What is her current balance? Answer: ______

  2. A football team gained 5 yards in one play and lost 8 yards in the next. What is the team’s net yardage change? Answer: ______

Section G: Reflection

  1. Explain in your own words how integers are used to represent real-life situations. Provide at least one example. Answer: ______

Note: Adjust the difficulty level of questions according to the class’s proficiency and progress. Encourage students to ask for clarification if they face difficulties with any questions.

Chapter 7: FractionsRead Moreâž”

Class 6 Mathematics – Worksheet

Chapter 7: Fractions

Name: _______________________ Roll No: ________ Date: __________

Instructions:

  1. Read each question carefully before attempting it.
  2. Show all your workings.
  3. Write your answers in the space provided.

Question 1: Understanding Fractions

a) Define the terms “numerator” and “denominator” in a fraction.

b) Represent the fraction 35 using fraction strips or drawings.

Question 2: Types of Fractions

Classify the following fractions as Proper, Improper, or Mixed:

a) 43

b) 72

c) 214

Question 3: Converting Fractions

Convert the following mixed fractions to improper fractions:

a) 325

b) 438

Question 4: Operations with Fractions

Perform the following operations:

a) 23+13

b) 58−18

Question 5: Real-Life Application

Imagine you have a pizza. If you eat 38 of the pizza and your friend eats 28 of the pizza, what fraction of the pizza is left?

Question 6: Word Problems

Solve the following word problems:

a) Sarah has a ribbon that is 56 meters long. She cuts it into three equal pieces. How long is each piece?

b) A recipe calls for 34 cup of sugar. If you want to make half of the recipe, how much sugar do you need?

Question 7: Challenge

If ��=34 and ��=25, find the value of ��.

Question 8: Reflection

Write a short paragraph about one real-life situation where understanding fractions could be useful.

End of Worksheet

Feel free to adjust the difficulty level or add more questions based on the specific needs of your students and the curriculum requirements.

Chapter 8: DecimalsRead Moreâž”

Worksheet: Decimals

Name:________________________ Class: 6 Date: ______________

Instructions:

  1. Solve the following problems.
  2. Show all your workings clearly.
  3. Write the answers in decimal form.

1. Understanding Decimals

Write the decimal form for the following fractions:

a) 310

b) 7100

c) 2550

2. Representing Decimals on a Number Line

Draw a number line and represent the following decimals on it:

a) 0.4

b) 2.75

c) 1.2

3. Addition and Subtraction of Decimals

Calculate the following:

a) 4.25+1.8

b) 6.4−2.1

c) 3.6+0.75

d) 9.2−4.6

4. Real-Life Applications

Imagine you have Rs. 50.25. You spend Rs. 12.75 on a book and Rs. 8.50 on a snack. How much money do you have left?

5. Word Problems

Solve the following word problems:

a) The length of a table is 5.6 meters. If you cut off 2.3 meters, what will be the length of the remaining part?

b) A box contains 15.75 kg of apples. If 3.5 kg of apples are taken out, how much remains?

6. Challenge Question

Solve the following:

35+0.2−0.1

7. Practical Application

Look around your house and find two objects where you can measure the length in decimals. Measure and represent their lengths in decimal form.

Answers:

  1. a) ___________ b) ___________ c) ___________

  2. a) _______ b) _______ c) _______

  3. a) _______ b) _______ c) _______ d) _______

  5. a) _______ b) _______

  7. Length 1: _______ meters Length 2: _______ meters

Feel free to adapt the questions or add more according to the pace and progress of your class. This worksheet covers various aspects of decimals, including representation, addition, subtraction, and real-life applications.

Chapter 9: Data HandlingRead Moreâž”

Class 6 Mathematics Worksheet

Chapter 9: Data Handling

Name:_________________ Roll No:_________________ Date:_________________

Section A: Multiple Choice Questions (1 mark each)

  1. What is the first step in data handling?

    a) Drawing a bar graph

    b) Collecting data

    c) Making a frequency table

    d) Creating a pictograph

  2. Which type of data is a list of individual scores in a game?

    a) Raw data

    b) Grouped data

    c) Tally data

    d) Pictorial data

  3. In data handling, what is a tally chart used for?

    a) Representing data in a graphical form

    b) Organizing raw data

    c) Creating a frequency table

    d) Drawing conclusions from data

  4. What does the height of a bar in a bar graph represent?

    a) Frequency

    b) Tally

    c) Data values

    d) Categories

  5. Which of the following is a graphical representation using symbols?

    a) Line graph

    b) Bar graph

    c) Pie chart

    d) Pictograph

Section B: Short Answer Questions (2 marks each)

  1. Explain the difference between raw data and grouped data.

  2. Convert the following tally chart into a frequency table:

    Favorite ColorTally
    Red 
    Blue 
    Green 
    Yellow 
    Purple 

  3. Create a bar graph using the data from the frequency table below:

    Days of the WeekFrequency
    Monday5
    Tuesday8
    Wednesday3
    Thursday6
    Friday4

Section C: Application-based Questions (3 marks each)

  1. Imagine you conducted a survey on the favorite fruits of your classmates. Write down the raw data for this survey and then organize it into a frequency table.

  2. You are given the following data about the number of books read by students in a week:

    Number of BooksFrequency
    0-26
    3-58
    6-84

    Create a pictograph to represent this data.

Section D: Real-life Problem Solving (5 marks)

  1. Your school conducted a survey on the modes of transportation students use to reach school. The data collected is as follows:

    Mode of TransportNumber of Students
    Bus25
    Bicycle15
    Walk10
    Car5

    a) Create a frequency table for this data.

    b) Represent this data using a bar graph.

    c) What conclusion can you draw from the bar graph?

Note: This is just a sample worksheet. Feel free to modify it based on the specific requirements of your classroom and the level of understanding of your students.

Chapter 10: MensurationRead Moreâž”

Class 6 CBSE Mathematics – Chapter 10: Mensuration

Name: ___________________________ Date: __________________

Instructions:

  1. Solve the following problems.
  2. Show all your workings clearly.
  3. Write the units with your answers.
  4. Attempt all questions.

1. Area and Perimeter of 2D Shapes:

a) Square:

  • If the side of a square is 5 cm, find its area and perimeter.

b) Rectangle:

  • The length of a rectangle is 8 cm, and the width is 4 cm. Calculate its area and perimeter.

c) Triangle:

  • A triangle has a base of 6 cm and a height of 3 cm. Determine its area.

2. Real-life Applications:

a) Gardening:

  • Raj is creating a rectangular garden with a length of 10 m and a width of 7 m. Calculate the area of the garden.

b) Fencing:

  • The length of a rectangular field is 15 m, and the width is 8 m. Find the amount of fencing needed to enclose the field.

3. Volume of 3D Shapes:

a) Cube:

  • If each side of a cube measures 4 cm, calculate its volume.

b) Cuboid:

  • A cuboid has dimensions 5 cm × 3 cm × 2 cm. Determine its volume.

4. Word Problems:

a) Packaging Boxes:

  • A cube-shaped packaging box has a side length of 6 cm. Calculate its volume.

b) Swimming Pool:

  • The length, width, and depth of a swimming pool are 10 m, 5 m, and 2.5 m, respectively. Find the volume of the pool.

5. Application Challenge:

a) Designing a Park:

  • Design a rectangular park with a length of 20 m and a width of 15 m. Determine the area of the park. If each square meter of the park costs Rs. 100 for maintenance, find the total cost of maintaining the park.

Answer Key:

  1. a) Area = 25 sq. cm, Perimeter = 20 cm b) Area = 32 sq. cm, Perimeter = 24 cm c) Area = 9 sq. cm

  2. a) Area = 70 sq. m b) Perimeter = 46 m

  3. a) Volume = 64 cubic cm b) Volume = 30 cubic cm

  4. a) Volume = 216 cubic cm b) Volume = 125 cubic cm

  5. a) Area = 300 sq. m, Cost = Rs. 30,000

Feel free to adapt the worksheet based on the specific needs of your class or to align it more closely with the curriculum you are following.

Chapter 11: AlgebraRead Moreâž”

Certainly! Below is a sample worksheet based on the CBSE pattern for the given chapter “Algebra” in Class 6 Mathematics.

Class: 6

Subject: Mathematics

Chapter: 11 – Algebra

Worksheet: Solving Simple Equations

Name: ____________________ Roll No: _______________

**Date: ____________________

Instructions:

  1. Read each question carefully before attempting.
  2. Clearly write down the steps you use to solve each problem.
  3. Show all workings and calculations.
  4. Write the final answer with proper units if applicable.

Questions:

1. Solve the following equations:

a) �+7=15

b) 2�=18

c) 3�−5=16

2. Word Problems:

a) The sum of a number and 8 is 20. Find the number.

b) If three times a number is 27, what is the number?

c) Mary has 4 more candies than John. Together they have 18 candies. How many candies does each person have?

3. Application Problems:

a) The length of a rectangle is 4 cm more than its width. If the perimeter of the rectangle is 22 cm, find the length and width.

b) A number is multiplied by 5 and then 3 is subtracted from the result. If the final answer is 17, what is the original number?

4. Challenge Problem:

A farmer has � apples. He sells 30 apples and then buys 15 more. Now, he has 45 apples. What is the value of �?

Answer Key:

  1. a) �=8

    b) �=9

    c) �=7

  2. a) 12

    b) 9

    c) John has 7 candies, Mary has 11 candies.

  3. a) Length = 10 cm, Width = 6 cm

    b) The original number is 8.

  4. �=30

This worksheet covers a range of problems, including solving equations, word problems, and application problems to reinforce the understanding of algebraic concepts. Adjust the difficulty level as needed based on the student’s proficiency.

Chapter 12: Ratio and ProportionRead Moreâž”

Worksheet: Ratio and Proportion

Instructions: Solve the following problems and write your answers in the space provided.

1. Understanding Ratios

a) Express the following ratios in the form of a fraction:

i. 3:5

ii. 4:7

b) If a box contains 20 red balls and 30 blue balls, what is the ratio of red balls to blue balls?

2. Exploring Proportions

a) Determine if the following pairs of ratios are in proportion:

i. 2:3 and 4:6

ii. 5:8 and 15:24

b) If �:�=2:5, find the value of � when �=6.

3. Solving Problems Involving Ratios

a) The ratio of boys to girls in a class is 3:4. If there are 24 girls, find the number of boys.

b) In a bag, there are red, blue, and green marbles in the ratio 2:3:5. If there are 40 marbles in total, find how many are blue.

4. Applying Ratios to Real-life Situations

a) If you spend Rs. 300 on 5 kg of rice, what is the cost per kilogram?

b) A recipe calls for 2 cups of flour and 3 cups of sugar. If you want to make half the recipe, what is the ratio of flour to sugar?

5. Problem-solving with Proportions

a) If �:8=4:10, find the value of �.

b) A rectangular field is 40 m long and 30 m wide. If its length to width ratio is maintained, find the width of a similar field with a length of 60 m.

6. Bonus Question: Real-world Application

A recipe for a fruit punch requires mixing orange juice and apple juice in the ratio 3:5. If you want to make 2 liters of fruit punch, how much of each juice should you use?

Answers:

  1. a) i. 3/5 ii. 4/7 b) 2:3

  2. a) i. Yes ii. Yes b) �=5

  3. a) Boys: 18, b) Blue marbles: 15

  4. a) Rs. 60/kg b) 1:1.5

  5. a) �=16 b) Width: 45�

  6. Bonus: 0.75 liters of orange juice, 1.25 liters of apple juice.

Feel free to adjust the difficulty level or add more questions based on the progress and needs of your students.

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