Chapter 1: Rational NumbersRead More➔🠔Read Less Name: __________________________________ Date: ________________ Instructions: Questions: 1. Simplify the following expressions: a) 58+3485​+43​ b) 23−1632​−61​ c) 45×3254​×23​ d) 710÷15107​÷51​ 2. Identify whether the following numbers are rational or irrational: a) 99​ b) 5225​ c) 22​ d) −34−43​ 3. Place the following rational numbers on the number line: a) −23−32​ b) 5445​ c) 11 d) −72−27​ 4. Solve the following word problems: a) Sarah had 3553​ of a chocolate bar, and she ate 1441​ of what she had. How much of the chocolate bar is left? b) A rectangle has a length of 3883​ meters and a width of 1221​ meters. Find its area. 5. Write the following numbers in decimal form: a) 725257​ b) −34−43​ c) 2332​ d) 112211​ Answers: a) 138813​ a) Rational (Answers may vary based on the accuracy of the placement on the number line.) a) 310103​ of the chocolate bar is left. a) 0.280.28 This worksheet is a general example and may need adjustments based on the specific topics covered in your class and the depth of understanding you want to assess.Worksheet: Rational Numbers
b) 1221​
c) 6556​
d) 7227​
b) Rational
c) Irrational
d) Rational
b) The area of the rectangle is 316163​ square meters.
b) −0.75−0.75
c) 0.670.67
d) 5.55.5
Chapter 2: Linear Equations in One VariableRead More➔🠔Read Less Name:______________________ Date:______________________ Roll No.:______________________ What is a linear equation in one variable? Which of the following is a linear equation? What is the first step in solving a linear equation? If 2�−5=112x−5=11, what is the value of �x? Solve for �x: 3�+7=163x+7=16. If 4�−9=154y−9=15, find the value of �y. Write down a linear equation and its solution. Solve the following system of equations: A sum of money is divided among three friends. If the first friend gets �x, the second friend gets 2�2x, and the third friend gets 3�+103x+10, and the total amount is 7575, find the value of �x and the amount each friend gets. A rectangular garden has a length that is 55 meters more than twice its width. If the perimeter of the garden is 4242 meters, find the dimensions of the garden. Samantha has twice the amount of money as her brother. If Samantha has �x dollars and her brother has �y dollars, write down a linear equation representing this situation. Note: Show all your workings clearly. Be sure to write the final answer with appropriate units where necessary.Class 8 Mathematics Worksheet
Section A: Multiple Choice Questions (1 mark each)
Section B: Short Answer Questions (2 marks each)
Section C: Long Answer Questions (4 marks each)
Section D: Real-World Applications (5 marks each)
Total Marks: ________
Chapter 3: Understanding QuadrilateralsRead More➔🠔Read Less Worksheet: Understanding Quadrilaterals Name: _______________________ Class: __________ Roll No: __________ What is the sum of the interior angles of a quadrilateral? a) 180 degrees Which of the following statements is true for a rectangle? a) Opposite sides are equal and parallel A quadrilateral with opposite sides equal and parallel is called a: a) Rectangle In a trapezoid, the non-parallel sides are called: a) Bases The diagonals of a rhombus are always equal in length. (True/False) If a quadrilateral is a parallelogram, then its opposite angles are supplementary. (True/False) All squares are rectangles, but not all rectangles are squares. (True/False) The sum of all angles in a quadrilateral is __________ degrees. In a parallelogram, opposite sides are __________ and __________. A quadrilateral with all sides equal is called a __________. Explain why the sum of the interior angles of a quadrilateral is 360 degrees. If ABCD is a parallelogram, and angle A measures 120 degrees, what is the measure of angle C? The length of one side of a square is 8 cm. Calculate the perimeter of the square. In a trapezoid ABCD, if the bases AB and CD are 12 cm and 18 cm, and the height is 10 cm, calculate the area of the trapezoid. Note: Feel free to adapt this worksheet as needed for your classroom. Ensure that the difficulty level aligns with the understanding of your students.Part A: Multiple Choice Questions (1 mark each)
b) 360 degrees
c) 450 degrees
d) 540 degrees
b) All sides are equal
c) Opposite angles are equal
d) Diagonals bisect each other
b) Parallelogram
c) Rhombus
d) Square
b) Legs
c) Diagonals
d) Opposite sidesPart B: True/False Questions (1 mark each)
Part C: Fill in the Blanks (1 mark each)
Part D: Short Answer Questions (2 marks each)
Part E: Application Problems (3 marks each)
Chapter 4: Data Handling Read More➔🠔Read Less Name: ____________________ Date: ______________ Class: 8th Define: Write the definition of “data handling” in your own words. ______________________________________________________ Examples: List three examples of situations where data handling is used in real life. a. _____________________________________________________ b. _____________________________________________________ c. _____________________________________________________ Survey: Conduct a survey among your classmates. Ask them about their favorite color. Record the responses in the table below. Data Analysis: Use the data collected to create a bar graph representing the favorite colors of your classmates. (Draw the bar graph on a separate graph paper.) Interpretation: Analyze the bar graph you created and answer the following questions: a. What is the most common favorite color among your classmates? _____________________________________________________ b. How many students prefer the color blue? _____________________________________________________ c. What is the total number of students surveyed? _____________________________________________________ Application: Think of a real-life scenario where data handling is crucial. Explain why data handling is important in that situation. _____________________________________________________ _____________________________________________________ Reflection: What did you learn from this activity? How can data handling be useful in your daily life? _____________________________________________________ _____________________________________________________ Feel free to modify or add more questions based on the specific emphasis of the chapter and the needs of your students.Worksheet: Data Handling
Part A: Understanding Data
Part B: Data Collection
Serial No. Name Favorite Color 1 Â Â 2 Â Â 3 Â Â 4 Â Â 5 Â Â Part C: Interpreting Data
Part D: Real-Life Applications
Part E: Reflection
Chapter 5: Squares and Square RootsRead More➔🠔Read Less Worksheet: Squares and Square Roots Name: ____________________________________ Class: 8 Roll No: ______ Instructions: Section A: Multiple Choice Questions (1 mark each) What is the square of 9? a) 18 b) 81 c) 27 d) 36 The square root of 64 is: a) 8 b) 4 c) 6 d) 10 If a square has a side length of 5 cm, what is its area? a) 25 sq cm b) 10 sq cm c) 20 sq cm d) 15 sq cm What is the value of √144? a) 12 b) 16 c) 14 d) 18 If the area of a square is 49 sq units, what is the length of one side? a) 7 b) 14 c) 21 d) 28 Section B: Fill in the Blanks (1 mark each) The square of 12 is ___________. The square root of 81 is ___________. The side length of a square is 6 cm, so its area is ___________ sq cm. If x^2 = 49, then x is ___________. √100 = ___________. Section C: Short Answer Questions (2 marks each) If the area of a square is 121 sq units, find the length of one side. Find the value of y if y^2 = 144. The area of a square is 64 sq cm. What is the length of one side? If a square has a side length of 10 cm, what is its perimeter? Determine the value of √169. Section D: Application Problems (3 marks each) A rectangular field has a length of 15 m. If the width is equal to its length, find the area of the field. The square of a number is 256. Find the number. The area of a square is 144 sq units. If one side is doubled, what is the new area? Section E: True/False Statements (1 mark each) √121 = 12 True/False If the side length of a square is 8 cm, then its area is 64 sq cm. True/False Section F: Word Problems (4 marks each) A garden is in the shape of a square with a side length of 12 m. If plants are planted along the perimeter of the garden, how many plants are needed if each plant is placed 1 meter apart? The area of a square is 36 sq cm. Determine the side length and the perimeter of the square. Total Marks: ________ Feedback: ____________________________________________________________ Please note that this is a sample worksheet, and you may adjust the difficulty level according to your students’ understanding.
Chapter 6: Cubes and Cube RootsRead More➔🠔Read Less Class 8 Mathematics: Cubes and Cube Roots Worksheet Instructions: Solve the following problems. Show all your workings. Calculate the cube of the following numbers: a. 4343 b. 7373 c. 103103 Find the cube root of the following numbers: a. 643364​ b. 12533125​ c. 21633216​ Evaluate the following expressions: a. 53+2353+23 b. 33−2333−23 c. 113+73113+73 Solve the following word problems: a. A cube-shaped box has a side length of 6 cm. Calculate its volume. b. The volume of a cube is 343 cubic units. Find the length of its side. c. If the cube of a number is 512, what is the number? Identify whether the following statements are True (T) or False (F): a. The cube root of 125 is 5. b. 6363 is a perfect cube. c. The cube root of 64 is 4. Additional Challenge: 6. Solve the following advanced problem: The sum of two consecutive cubes is 81. Find the two numbers. This worksheet covers various aspects of the Cubes and Cube Roots chapter, including basic calculations, problem-solving, and conceptual understanding. Adjustments can be made based on the specific requirements of your class or curriculum.
Chapter 7: Comparing QuantitiesRead More➔🠔Read Less Worksheet: Comparing Quantities – Exploring Percentages and Discounted Prices Name:______________________ Class: 8 Date: ______________ Question 1: Define the term “percentage” and provide an example of a real-life situation where percentages are commonly used. Question 2: If the price of a shirt is ₹800, and it is discounted by 20%, calculate the discounted price. Question 3: A shopkeeper reduces the price of a mobile phone from ₹15,000 to ₹12,000. Calculate the percentage decrease in the price. Question 4: If the original price of a laptop is ₹40,000, and it is increased by 15%, find the new price. Question 5: A pair of jeans is originally priced at ₹1200. If there is a 25% discount, calculate the discounted price. Question 6: A book is available at a 12% discount. If the discounted price is ₹440, find the original price. Question 7: During a sale, a watch is available for ₹450 after a 35% discount. What was its original price? Question 8: If the cost of a mobile phone is ₹10,000 and there is a 10% increase in its price, find the new price. Question 9: Maria bought a dress originally priced at ₹2500. She got a 20% discount. How much did she pay after the discount? Question 10: A laptop’s price increased by 8% to ₹43,200. Find its original price. Note: Show all workings for numerical calculations. This worksheet is a starting point and can be adjusted based on the specific topics covered in your class and the depth of understanding you want to assess. Feel free to modify or add questions as needed.Part A: Understanding Percentages
Part B: Comparing Quantities
Part C: Calculating Discounts
Part D: Real-world Applications
Part E: Word Problems
Chapter 8: Algebraic Expressions and Identities Read More➔🠔Read Less Class: 8th Subject: Mathematics Chapter: Algebraic Expressions and Identities Instructions: Question 1: Simplify the following expressions: a) 3�+2�−�+4�3x+2y−x+4y b) 5�−(2�−3�)5a−(2a−3b) c) 2(3�−7)+4(2�+5)2(3x−7)+4(2x+5) Question 2: Apply the identity (�+�)2=�2+2��+�2(a+b)2=a2+2ab+b2 to simplify the expressions: a) (�+4)2(p+4)2 b) (2�−3)2(2x−3)2 Question 3: Apply the identity (�−�)2=�2−2��+�2(a−b)2=a2−2ab+b2 to simplify the expressions: a) (�−5)2(q−5)2 b) (3�+2)2(3y+2)2 Question 4: Solve the equations for the given values of �x: a) 2�+7=152x+7=15 b) 3(2�−4)=183(2x−4)=18 Question 5: Word Problems: The perimeter of a rectangle is given by the expression 2�+2�2l+2w, where �l is the length and �w is the width. If the length of the rectangle is 5�+35x+3 and the width is 2�−12x−1, find the expression for the perimeter. Answers: a) 4�+2�4y+2x b) 3�+3�3a+3b c) 14�+114x+1 a) �2+8�+16p2+8p+16 b) 4�2−12�+94x2−12x+9 a) �2−10�+25q2−10q+25 b) 9�2+12�+49y2+12y+4 a) �=4x=4 b) �=6x=6 2(5�+3)+2(2�−1)2(5x+3)+2(2x−1) or 14�+414x+4 Note:Worksheet
Chapter 10: Exponents and PowersRead More➔🠔Read Less Worksheet: Exponents and Powers Name:__________________ Class: _______________ Roll No: _______________ Instructions: Answer the following questions. Show all workings. 1. Define the terms: a. Exponent b. Power 2. Evaluate the following expressions: a. 2424 b. 5252 c. 3030 d. 10−210−2 e. 813831​ 3. Simplify the following expressions using the laws of exponents: a. 23×2523×25 b. 64626264​ c. �3�7x3×x7 d. �5�3y3y5​ e. �2×�−2a2×a−2 4. Solve the following problems: a. The population of a town doubles every 10 years. If the current population is 5,000, what will be the population in 30 years? b. A bacteria culture doubles in size every hour. If the initial size is 100 bacteria, what will be the size after 5 hours? c. Simplify: 32×3432×34 d. Evaluate: 2−3×252−3×25 e. If �2=16x2=16, find the value of �x. 5. Word Problems: a. The side length of a cube is 4 cm. Find the volume of the cube. b. A car depreciates by 15% each year. If the current value of the car is $20,000, what will be its value after 3 years? c. Simplify: 43×4−243×4−2 d. Evaluate: 50+61−2−250+61−2−2 e. The area of a square is 49 square units. Find the length of its side. 6. Challenge Problem: a. If 2�=162x=16, find the value of �x. b. Solve for �y: 32�−1=2732y−1=27 Answer Key: a. a. 1616 b. 2525 c. 11 d. 0.010.01 e. 22 a. 2828 b. 6262 c. �10x10 d. �2y2 e. 11 a. 40,00040,000 b. 3,2003,200 c. 3636 d. 3232 e. �=±4x=±4 a. 64 cm364cm3 b. 12,89012,890 c. 44 d. 32.2532.25 e. 77 a. �=4x=4 b. �=1.5y=1.5 Remember to review the answers and explanations with the students during the feedback session. Adjust the difficulty level of questions based on your class’s proficiency in the subject.
Chapter 11: Direct and Inverse ProportionsRead More➔🠔Read Less Worksheet: Direct and Inverse Proportions Name:____________________ Class: VIII Date: _______________ Instructions: Solve the following problems related to direct and inverse proportions. Show all your workings. 1. Direct Proportion: a) If 4 bags of candies cost ₹240, how much would 10 bags cost? b) The time it takes to paint a wall is directly proportional to the area of the wall. If it takes 6 hours to paint an area of 30 square meters, how long will it take to paint an area of 50 square meters? 2. Inverse Proportion: a) The number of workers needed to complete a construction project is inversely proportional to the number of days it takes to complete the project. If it takes 8 workers 12 days to finish the project, how many workers are needed to complete it in 6 days? b) The time it takes for a car to travel a certain distance is inversely proportional to its speed. If it takes 4 hours to travel 240 km at a certain speed, how long will it take to travel the same distance at twice the speed? 3. Mixed Proportion: a) If 5 workers can build a wall in 8 days, how many workers would be needed to build the same wall in 4 days? b) The cost of printing flyers is directly proportional to the number of flyers printed and inversely proportional to the number of printing machines used. If 5000 flyers cost ₹100 and 4 machines are used, find the cost of printing 8000 flyers using 5 machines. 4. Real-life Scenarios: a) A car travels 360 km in 4 hours. If the speed remains constant, how long will it take to travel 540 km? b) If 8 students can finish a project in 10 days, how many students are needed to finish the same project in 5 days? Feel free to adapt this worksheet according to your specific requirements or CBSE guidelines.
Chapter 12: FactorisationRead More➔🠔Read Less Instructions: 1. Define: a) Factorisation b) Common factors 2. Identify the common factors: a) 3�+63x+6 b) 4�−84y−8 3. Factorise the following expressions: a) 6�+96a+9 b) 15�−3015b−30 4. Apply the distributive property: Expand and then factorise: a) 4(�+3)4(x+3) b) 2(2�−6)2(2y−6) 5. Factorise using grouping: 5�+10�−3�−6�5m+10n−3m−6n 6. Factorise using identities: �2−25x2−25 7. Solve for �x: 3�−12=03x−12=0 8. Simplify: 4�2−162�−82p−84p2−16​ 9. Application: The area of a rectangular garden is represented by �=(�+3)(�−2)A=(x+3)(x−2). If the length of the garden is �+3x+3 meters, find the width of the garden. 10. Challenge: Factorise completely: 9�2−169x2−16 Evaluation: Feel free to adjust the difficulty of the questions based on your class’s proficiency. Additionally, include more word problems or application-based questions if you want to focus on real-world scenarios.Class 8 Mathematics Worksheet
Chapter 12: Factorisation
Name: ___________________________ Class: ______ Date: ______
Chapter 13: Introduction to GraphsRead More➔🠔Read Less Question 1: Define the following terms: a) Graph b) Axes c) Data point Question 2: Identify the components of the following graph and explain their significance: Question 3: Choose the appropriate type of graph for each scenario and draw the graph using the given data: a) Represent the sales of different products over a month. b) Represent the percentage distribution of marks obtained by students in a class. Question 4: Analyze the given graph and answer the questions: a) What does the x-axis represent in this graph? b) Identify the trend in the data represented by the graph. c) If the trend continues, what would be the expected value on the y-axis for x = 7? Question 5: Create your own data set related to a topic of your choice. Choose an appropriate type of graph and draw it on the graph paper provided. Label the axes, give a title, and use appropriate scales. Question 6: Answer the following questions: a) Why is it essential to label the axes in a graph? b) Compare and contrast bar graphs and line graphs. Provide examples of situations where each type would be suitable. Question 7: Solve the following problem: The temperature (in degrees Celsius) at different times of the day is recorded as follows: a) Draw a line graph to represent the temperature variation throughout the day. b) What is the highest temperature recorded, and at what time did it occur? Note: This worksheet is a general guide and may need to be adapted based on the specific requirements of the curriculum and classroom.Class 8 Mathematics Worksheet
Chapter: Introduction to Graphs
Instructions:
Product Sales (in units) A 120 B 90 C 150 D 80 Marks Range Number of Students 90-100 15 80-89 25 70-79 30 Below 70 20 Time (in hours) Temperature 9 AM 20 12 PM 28 3 PM 35 6 PM 25 End of Worksheet