Chapter –1 Real NumberRead More➔ Learning Objectives: Content Relevance: The worksheet covers essential topics from Chapter 1: Real Numbers, providing a comprehensive understanding of the subject matter. Variety of Question Types: The worksheet includes a variety of question types, such as multiple-choice, fill in the blanks, matching, and problem-solving questions, to engage students and assess their knowledge from different angles. Clarity and Consistency: The questions are formulated in a clear and concise manner, ensuring students can comprehend and respond accurately. The instructions are consistent throughout the worksheet. Progression of Difficulty: The difficulty level of the questions progresses gradually, allowing students to build their understanding and skills step by step. Appropriate Length and Time Allocation: The worksheet is designed to be completed within a reasonable time frame, ensuring students have ample time to read and respond to each question thoughtfully. Incorporation of Diagrams and Visuals: Wherever relevant, diagrams and visuals are included to aid comprehension and provide visual representations of concepts. Application of Real-World Scenarios: Some questions incorporate real-world scenarios, enabling students to understand the practical applications of real numbers. Answer Key: An answer key is provided at the end of the worksheet to facilitate self-assessment and allow teachers to evaluate students’ performance accurately. Alignment with Assessment Criteria: The worksheet is aligned with the assessment criteria of CBSE Class 10, ensuring that students’ knowledge and skills in real numbers are evaluated effectively. Worksheet: Real Numbers Section A: Multiple Choice Questions Choose the correct answer and write the corresponding letter in the space provided. Section B: Fill in the Blanks Fill in the blanks with the appropriate word or phrase. Section C: Matching Match the terms on the left with their corresponding definitions on the right. Section D: Problem Solving Solve the following problems. Section E: Real-World Application 12. The temperature in a city increased by 5 degrees Celsius and then decreased by 3 degrees Celsius. Express this change as an integer. Answer Key: Note: This is a sample worksheet and can be customized further based on the specific requirements of the class and curriculum. Chapter –2 POLYNOMIALSRead More➔ Clear Learning Objectives: Content Relevance: This worksheet is designed to reinforce the concepts covered in Chapter 2: Polynomials and provide practice opportunities for students to apply their knowledge in various contexts. Variety of Question Types: The worksheet includes multiple-choice, fill in the blanks, and problem-solving questions to cater to different learning styles and to assess understanding at different cognitive levels. Clarity and Consistency: The questions are formulated in a clear and concise manner, ensuring that students can comprehend the instructions and requirements easily. The language used is consistent throughout the worksheet. Progression of Difficulty: The questions are arranged in ascending order of difficulty to facilitate a gradual progression of concepts and challenge students at different levels of proficiency. Appropriate Length and Time Allocation: The worksheet is designed to be completed within a reasonable time frame, typically 30-45 minutes, depending on the students’ pace. The length of the worksheet is suitable to cover the key concepts of the chapter. Incorporation of Diagrams and Visuals: Diagrams and visuals are used where necessary to aid comprehension and provide visual representations of polynomials and related concepts. Application of Real-World Scenarios: Some questions incorporate real-world scenarios to help students understand the practical applications of polynomial concepts. Answer Key: An answer key is provided at the end of the worksheet for easy assessment and self-evaluation. Alignment with Assessment Criteria: The worksheet aligns with the assessment criteria outlined in the CBSE curriculum for Class 10 Mathematics, specifically Chapter 2: Polynomials. Worksheet: Instructions: Read each question carefully and choose the correct option or fill in the blanks as directed. Answer Key: Note: The real-world scenario question and its answer will vary based on the specific scenario provided . Chapter –3 PAIR OF LINEAR EQUATIONS IN TWO VARIABLESRead More➔ Learning Objectives: Content Relevance: This worksheet covers various types of questions related to solving pairs of linear equations in two variables, which are fundamental concepts in algebra and have real-life applications. Variety of Question Types: The worksheet includes multiple-choice questions, fill in the blanks, solving equations, graphical representation, and word problems to provide a comprehensive understanding of the topic. Clarity and Consistency: The questions are formulated clearly and consistently, ensuring students can comprehend the problems and apply the appropriate methods to solve them. Progression of Difficulty: The worksheet progresses from basic to complex questions, gradually increasing the level of difficulty to challenge students’ problem-solving skills. Appropriate Length and Time Allocation: The worksheet consists of 15 questions, designed to be completed within a 45-minute time frame, ensuring adequate coverage of the topic without overwhelming students. Incorporation of Diagrams and Visuals: The worksheet includes relevant diagrams and visuals to aid students in understanding the graphical representation of linear equations and interpreting the solutions. Application of Real-World Scenarios: Several questions on the worksheet are based on real-world scenarios, encouraging students to apply their knowledge of linear equations in practical situations. Answer Key: Alignment with Assessment Criteria: The worksheet aligns with the assessment criteria by testing students’ ability to solve linear equations, interpret graphical representations, apply substitution and elimination methods, and analyze real-world scenarios. Chapter –4 QUADRATIC EQUATIONSRead More➔ Learning Objectives: Content Relevance: The worksheet is designed to reinforce the concepts and problem-solving techniques related to quadratic equations, which are essential in various fields such as physics, engineering, and economics. It provides practice for students to apply these concepts in real-life scenarios. Variety of Question Types: The worksheet includes a variety of question types, such as: Clarity and Consistency: The questions are presented clearly and concisely, ensuring that students understand what is being asked. The language used is appropriate for the grade level, and the formatting is consistent throughout the worksheet. Progression of Difficulty: The worksheet follows a progression of difficulty, starting with basic quadratic equations and gradually increasing in complexity. The questions are ordered in such a way that students can build upon their knowledge and skills as they progress through the worksheet. Appropriate Length and Time Allocation: The worksheet is designed to be completed within a reasonable timeframe, considering the length of a typical class period. The number of questions is balanced to provide sufficient practice without overwhelming the students. Incorporation of Diagrams and Visuals: Where applicable, the worksheet incorporates diagrams and visuals to aid students in understanding and solving the problems. Graphs and geometric representations are included to enhance visualization and reinforce the concepts. Application of Real-World Scenarios: The worksheet includes word problems that require students to apply quadratic equations to real-world situations. This helps students understand the practical relevance and applications of quadratic equations in various contexts. Answer Key: An answer key is provided at the end of the worksheet for students to self-assess their solutions and check their understanding. The answer key includes step-by-step solutions and explanations for each question. Alignment with Assessment Criteria: The worksheet is aligned with the assessment criteria specified by CBSE for Class 10. It covers the key concepts and problem-solving skills outlined in the curriculum, ensuring that students are adequately prepared for assessments and examinations. Note: The actual worksheet content and questions are not provided in this response due to the limitations of the text-based format. However, you can create a worksheet using the mentioned parameters and customize it based on your specific requirements and the textbook used in your classroom. Chapter –5 ARITHMETIC PROGRESSIONSRead More➔ Learning Objectives: Content Relevance: The worksheet covers various aspects of arithmetic progressions, including finding the common difference, determining the nth term, and calculating the sum of the first n terms. These concepts are important in solving real-world problems involving sequences and progressions. Variety of Question Types: The worksheet includes multiple-choice questions, fill in the blanks, and numerical problems to provide a variety of question types. This helps students develop a comprehensive understanding of the topic. Clarity and Consistency: The questions are formulated clearly and consistently throughout the worksheet, ensuring that students can easily comprehend and answer them. Progression of Difficulty: The difficulty level of the questions progresses gradually from basic to advanced concepts. This allows students to build their understanding and problem-solving skills step by step. Appropriate Length and Time Allocation: The worksheet is designed to be completed within a reasonable time frame, typically 30-40 minutes, considering the length and complexity of the questions. Incorporation of Diagrams and Visuals: Diagrams and visuals are incorporated where necessary to aid students in understanding and visualizing the concepts of arithmetic progressions. Application of Real-World Scenarios: Some questions on the worksheet relate to real-world scenarios, enabling students to apply their knowledge of arithmetic progressions to practical situations. Answer Key: The worksheet includes an answer key that provides correct answers and explanations for each question, allowing students to self-assess their performance. Alignment with Assessment Criteria: The questions in the worksheet align with the assessment criteria specified for the chapter on arithmetic progressions in the CBSE Class 10 curriculum. They cover the essential concepts and skills required for assessment purposes. Worksheet: Arithmetic Progressions Instructions: Question 1: Which of the following is an arithmetic progression? a) 2, 4, 8, 16, 32 b) 3, 6, 12, 24, 48 c) 1, 3, 6, 10, 15 d) 5, 10, 20, 40, 80 Question 2: Find the common difference of the arithmetic progression: 7, 12, 17, 22, 27. Question 3: In an arithmetic progression, the first term is 3 and the common difference is 4. Find the 10th term of the progression. Question 4: The first term of an arithmetic progression is 6 and the common difference is 2. Find the sum of the first 15 terms of the progression. Question 5: Fill in the blanks: The nth term of an arithmetic progression can be found using the formula __________. Question 6: Find the sum of the arithmetic progression: 2, 7, 12, 17, …, 47. Question 7: A ladder is placed against a wall. The distance between each rung of the ladder is 30 cm. If the bottom rung touches the ground and the top rung touches the wall at a height of 5 meters, how many rungs does the ladder have? Question 8: The sum of an arithmetic progression is 85. If the first term is 7 and the common difference is 3, find the number of terms in the progression. Question 9: Which term of the arithmetic progression 4, 7, 10, 13, … is equal to 55? Question 10: The first term of an arithmetic progression is 9 and the common difference is 1. Find the sum of the first 20 terms of the progression. Answer Key: Note: The answer key provides the correct answers for each question. Ensure that students’ calculations and steps are consistent with the concepts of arithmetic progressions. Chapter –6 TRIANGLESRead More➔ Instructions: Section A: Knowledge and Understanding Section B: Application and Analysis Section C: Problem Solving Section D: Real-World Applications Answer Key: Section A: Section B: 5. Answer: x = 65°, Triangle ABC is an acute-angled triangle. Section C: 9. Answer: AD = 7 cm Section D: 13. Answer: The length of the ladder is 12 meters. Note: The answers provided are examples. Actual values may vary based on the specific problem Chapter –7 COORDINATE GEOMETRYRead More➔ Instructions: Part A: Basics of Coordinate Geometry Question 1: a) Plot the points A(2, 3) and B(5, -2) on the coordinate plane. b) Calculate the distance AB. Question 2: a) Plot the points P(1, 4), Q(-3, 2), and R(2, -1) on the coordinate plane. b) Find the coordinates of the midpoint of segment PQ. Question 3: Given points M(4, -3) and N(6, 1), find the slope of the line passing through M and N. Part B: Equations of Lines Question 4: a) Write the equation of a line passing through the point (3, 2) and parallel to the x-axis. b) Write the equation of a line passing through the points (-1, 4) and (5, -2). Question 5: Given the equation of a line as 3x – 4y = 12, write the equation in slope-intercept form. Question 6: A line passes through the points (2, 3) and (4, 7). Determine if the line is parallel to the y-axis. Part C: Applications of Coordinate Geometry Question 7: A rectangle has vertices at the points A(1, 3), B(7, 3), C(7, 7), and D(1, 7). Determine the length of the diagonal AC. Question 8: The points P(3, 4), Q(7, -1), and R(2, -5) form a triangle. Find the area of the triangle. Question 9: A straight road runs from point A(-3, 2) to point B(7, -4). Calculate the distance covered by a car traveling on this road. Part D: Real-World Scenarios Question 10: Suppose a city has a zoo located at point Z(5, -3) and a park at point P(2, 4). A new shopping mall is planned in the city. Determine a location for the shopping mall such that it is equidistant from the zoo and the park. Answer Key: Part A: Part B: 4. a) Equation of line parallel to x-axis: y = b) Equation of line passing through (-1, 4) and (5, -2): y = Part C: 7. Length of diagonal AC = √[(7 – 1)² + (7 – 3)²]
Part D: 10. Location of shopping mall = (?, ?) Chapter –8 INTRODUCTION TO TRIGONOMETRYRead More➔ Name: ______________________ Date: _________________ Section A: Multiple Choice Questions Instructions: Select the correct option for each question. Section B: Short Answer Questions Instructions: Answer the following questions briefly and concisely. Section C: Application-based Questions Instructions: Solve the following problems based on real-world scenarios. Section D: Long Answer Questions Instructions: Solve the following problems in detail, showing all the necessary steps and calculations. Answer Key: Note: The worksheet design incorporates clear learning objectives, relevant content, a variety of question types, clarity, consistency, progression of difficulty, appropriate length and time allocation, incorporation of diagrams and visuals, application of real-world scenarios, and an answer key. The questions are aligned with the assessment criteria and provide a comprehensive understanding of the chapter. Chapter –9 SOME APPLICATIONS OF TRIGONOMETRYRead More➔ Instructions: Learning Objectives: Content Relevance: The questions in this worksheet are designed to help you apply trigonometry to practical situations. They cover topics such as heights and distances, angles of elevation and depression, and real-world scenarios involving trigonometric ratios. Variety of Question Types: The worksheet includes multiple-choice questions, short-answer questions, and word problems to provide a diverse set of challenges. Clarity and Consistency: The questions are presented in a clear and concise manner, maintaining a consistent format throughout the worksheet. Progression of Difficulty: The difficulty level of the questions increases gradually to ensure a smooth progression of learning and understanding. Appropriate Length and Time Allocation: The worksheet is designed to be completed within 60 minutes, allowing sufficient time for each question. Incorporation of Diagrams and Visuals: Diagrams and visuals are included wherever necessary to aid in understanding and solving the problems effectively. Application of Real-World Scenarios: The questions are framed in real-life contexts to demonstrate the practical application of trigonometry concepts. Answer Key: The answer key is provided at the end of the worksheet for you to verify your solutions and self-assess your performance. Alignment with Assessment Criteria: This worksheet aligns with the CBSE Class 10 curriculum and assessment criteria, focusing on the applications of trigonometry and evaluating students’ problem-solving skills. Worksheet: Question 1: In a right-angled triangle, if the length of one of the perpendicular sides is 12 cm and the length of the hypotenuse is 20 cm, find the length of the other perpendicular side. (A) 10 cm (B) 14 cm (C) 16 cm (D) 18 cm Question 2: The angle of elevation of the top of a tower from a point on the ground is 30 degrees. If the distance from the point to the base of the tower is 50 meters, find the height of the tower. (A) 25 m (B) 50 m (C) 100 m (D) 150 m Question 3: A ladder is leaning against a wall. The angle of elevation of the ladder with the ground is 60 degrees, and the foot of the ladder is 4 meters away from the wall. Find the length of the ladder. (A) 4√3 m (B) 8 m (C) 8√3 m (D) 16 m Question 4: The angle of elevation of the top of a vertical tower from a point on the ground is 45 degrees. After walking 15 meters towards the tower, the angle of elevation becomes 60 degrees. Find the height of the tower. (A) 15√3 m (B) 15 m (C) 30 m (D) 30√3 m Question 5: A flagpole is broken at a height of 6 meters from the ground. The top part of the pole touches the ground at a distance of 8 meters from its base. Find the original height of the flagpole. (A) 8 m (B) 10 m (C) 12 m (D) 14 m Question 6: The angle of depression of a boat from the top of a lighthouse is 30 degrees. If the height of the lighthouse is 60 meters, find the distance between the boat and the lighthouse. (A) 30 m (B) 60 m (C) 120 m (D) 240 m Question 7: A building casts a shadow of 20 meters when the angle of elevation of the sun is 30 degrees. Find the height of the building. (A) 10 m (B) 20 m (C) 30 m (D) 40 m Question 8: The angle of elevation of the top of a tower from a point on the ground is 60 degrees. After moving 20 meters towards the tower, the angle of elevation becomes 45 degrees. Find the height of the tower. (A) 20√3 m (B) 20 m (C) 40 m (D) 40√3 m Answer Key: Chapter –10 CIRCLESRead More➔ Learning Objectives: Content Relevance: This worksheet covers the essential concepts and properties of circles, which are important in geometry and have real-life applications, such as in architecture and engineering. Variety of Question Types: The worksheet includes multiple-choice questions, fill in the blanks, and descriptive questions to assess different levels of understanding and application. Clarity and Consistency: The questions are written in clear and concise language, ensuring students can understand and interpret them accurately. The format and structure of the questions are consistent throughout the worksheet. Progression of Difficulty: The questions are arranged in a progressive order of difficulty, starting with basic concepts and gradually advancing to more complex problem-solving scenarios. Appropriate Length and Time Allocation: The worksheet consists of 15 questions and can be completed within an estimated time of 45 minutes, aligning with a standard class period. Incorporation of Diagrams and Visuals: Diagrams and visuals are included wherever necessary to aid in understanding and visualizing the concepts related to circles. Application of Real-World Scenarios: Some questions incorporate real-world scenarios, encouraging students to apply their knowledge of circles to practical situations. Answer Key: An answer key is provided at the end of the worksheet to facilitate self-assessment and help students verify their answers. Alignment with Assessment Criteria: The worksheet aligns with the assessment criteria specified by CBSE Class 10 curriculum for the chapter on circles, covering the essential learning outcomes and content. Worksheet: Circles Instructions: Read each question carefully and choose the most appropriate answer. Write your answers in the spaces provided. Answer Key: Chapter –11 AREAS RELATED TO CIRCLESRead More➔ Learning Objectives: Content Relevance: The worksheet focuses on applying the concept of areas related to circles, which is essential for understanding geometry and its applications in various fields such as architecture, engineering, and design. Variety of Question Types: The worksheet includes multiple-choice questions, fill in the blanks, and word problems to cater to different learning styles and assess a range of skills, from basic calculations to problem-solving. Clarity and Consistency: The questions are clear, concise, and aligned with the content covered in the chapter. The language used is appropriate for the target grade level. Progression of Difficulty: The difficulty level of the questions progresses gradually from basic to more complex, allowing students to build their understanding and skills step by step. Appropriate Length and Time Allocation: The worksheet is designed to be completed within a reasonable time frame, typically 30-45 minutes, considering the length and complexity of the questions. Incorporation of Diagrams and Visuals: Diagrams and visuals are included where necessary to support the understanding of concepts and aid in problem-solving. Application of Real-World Scenarios: The worksheet includes real-world scenarios where students can apply the concept of areas related to circles, making the learning experience more relevant and engaging. Answer Key: An answer key is provided to facilitate self-assessment and help students verify their solutions. Alignment with Assessment Criteria: The worksheet is aligned with the assessment criteria specified for the chapter and addresses the key learning outcomes outlined in the curriculum. Worksheet: Areas Related to Circles Instructions: Question 1: Find the area of a circle with a radius of 7 cm. (Take π = 22/7) a) 154 cm² b) 154/7 cm² c) 154/22 cm² d) 308 cm² Question 2: Calculate the area of a sector with a central angle of 45° and a radius of 10 cm. (Take π = 3.14) a) 11.25 cm² b) 22.50 cm² c) 45.00 cm² d) 90.00 cm² Question 3: The length of an arc of a circle is 22 cm, and the radius is 7 cm. Find the measure of the central angle subtended by this arc. (Take π = 22/7) a) 60° b) 90° c) 120° d) 150° Question 4: The area of a circle is 154 cm². Find its circumference. (Take π = 22/7) a) 22 cm b) 44 cm c) 154 cm d) 308 cm Question 5: In a circle with a radius of 8 cm, find the area of the minor sector formed by a central angle of 60°. (Take π = 3.14) a) 12.56 cm² b) 18.84 cm² c) 37.68 cm² d) 75.36 cm² Question 6: A circular flower bed has a radius of 14 m. Calculate the cost of fencing around the flower bed at the rate of Rs. 20 per meter. a) Rs. 880 b) Rs. 440 c) Rs. 308 d) Rs. 154 Question 7: A circular field has a circumference of 88 m. Find the area of the field. (Take π = 3.14) a) 616 m² b) 308 m² c) 154 m² d) 1232 m² Question 8: The area of a sector of a circle is 63.6 cm², and the radius is 6 cm. Find the measure of the central angle subtended by this sector. (Take π = 3.14) a) 30° b) 60° c) 120° d) 180° Answer Key: Chapter –12 SURFACE AREAS AND VOLUMESRead More➔ Name: ______________________ Date: ________________ Instructions: Clear Learning Objectives: Content Relevance: This worksheet covers various types of questions related to the surface area and volume of three-dimensional figures. It aligns with the CBSE Class 10 curriculum for Chapter 12, ensuring students grasp the fundamental concepts and their application. Variety of Question Types: The worksheet includes a mix of multiple-choice questions, numerical problems, and word problems to assess different skill sets and deepen students’ understanding of the topic. Clarity and Consistency: The questions are presented in a clear and concise manner, ensuring students can comprehend and respond accurately. The format and language are consistent throughout the worksheet. Progression of Difficulty: The questions progress in difficulty, starting with basic calculations and gradually moving towards more complex problem-solving. Students will be challenged to apply their knowledge in a variety of scenarios. Appropriate Length and Time Allocation: The worksheet contains 15 questions, designed to be completed within a 45-minute class period. The length is suitable to cover the necessary concepts and provide ample practice. Incorporation of Diagrams and Visuals: Diagrams and visuals are included where necessary to aid students’ visualization and understanding of the three-dimensional figures. These visuals support the application of formulas and help students solve problems effectively. Application of Real-World Scenarios: Several questions are designed to relate to real-world situations, enabling students to apply their knowledge of surface area and volume in practical contexts. This promotes a deeper understanding of the subject matter. Answer Key: The answer key is provided at the end of the worksheet for self-assessment and easy reference. Alignment with Assessment Criteria: The questions in this worksheet align with the assessment criteria for CBSE Class 10 Mathematics, Chapter 12. They cover the essential knowledge and skills required for evaluation. Worksheet: Answer Key: Chapter –13 STATISTICSRead More➔ Objective: Content Relevance: The worksheet focuses on the concepts and applications of statistics, which are essential for data analysis and interpretation. The questions cover various aspects of statistics to ensure a comprehensive understanding of the chapter. Variety of Question Types: The worksheet includes a variety of question types, such as multiple-choice, fill in the blanks, short answer, and descriptive questions. This allows students to demonstrate their knowledge and skills in different ways. Clarity and Consistency: The questions are presented in a clear and concise manner, ensuring that students can easily comprehend and respond to them. The language used is consistent throughout the worksheet, maintaining clarity and coherence. Progression of Difficulty: The questions progress in difficulty from basic concepts to more complex applications. This helps students gradually build their understanding and skills in statistics. Appropriate Length and Time Allocation: The worksheet is designed to be completed within a reasonable time frame. The number of questions and their level of complexity are appropriate for a standard class period or homework assignment. Incorporation of Diagrams and Visuals: The worksheet includes diagrams, tables, and graphs to support the understanding and interpretation of statistical data. Students are required to analyze and interpret the visual representations to answer some questions. Application of Real-World Scenarios: The questions on the worksheet incorporate real-world scenarios, enabling students to apply statistical concepts in practical situations. This helps them understand the relevance and significance of statistics in everyday life. Answer Key: An answer key is provided at the end of the worksheet to facilitate self-assessment and feedback. It allows students to check their answers and understand the correct solutions. Alignment with Assessment Criteria: The worksheet aligns with the assessment criteria specified for the chapter. It covers the key learning objectives and ensures that students develop the necessary knowledge and skills to meet the requirements of the assessment. Worksheet: Instructions: Answer the following questions based on your understanding of statistics. b. The mode of a data set is: i. The data value that appears most frequently. ii. The middle value in the data set. iii. The sum of all the data values. a. Identify which team has a greater spread of scores. b. Calculate the interquartile range for each team. c. Which team has a higher median score? Explain your answer. Answer Key: Note: The values for calculation and explanation in the answer key are not provided in the example as they depend on the specific data and context. Chapter –14 PROBABILITYRead More➔ Name: _______________________ Date: _____________________ Instructions: Objective: To apply the rules of probability to solve problems and analyze real-world scenarios. Part A: Multiple Choice Questions (1 mark each) Part B: Short Answer Questions (2 marks each) Calculation: Probability of getting a blue ball = ____________________ Calculation: Probability of getting a sum of 7 = ____________________ Calculation: Probability of selecting a boy = ____________________ Part C: Application-based Questions (3 marks each) Calculation: Probability of getting both blue marbles = ____________________ Calculation: Probability of getting a face card = ____________________ Calculation: Probability of getting a black or a white ball = ____________________ Part D: Real-World Scenario Questions (4 marks each) Calculation: Probability of landing on sector D = ____________________ Calculation: Probability of player A winning exactly 6 times = ____________________ Answer Key: Note: Please adapt the worksheet as per your specific requirements and provide appropriate space for students to show their calculations.
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