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Related Rates – Model problem mapping (MPM)

By Pavani

Related rates problems involve finding a rate at which a quantity changes by relating that quantity to other quantities . The rate of change is usually with respect to time .Here are nine important problems based on the concept related rates ,Try these problems and post your answers .

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Social Science Revision Test- STD 09

History Topics

  1. French revolution
  2. Socialism in Europe and the Russian Revolution
  3. Nazism and Rise of Hitler
  4. Forest Society and Colonialism
  5. Pastoralists in the Modern World
  6. Peasants and Farmers

Geography Topics

  1. India-Size and Location
  2. Physical Features of India
  3. Drainage
  4. Climate
  5. Natural Vegetation and Wild Life
  6. Population

Economics Topics

  1. Story of Village Palampur
  2. People as Resource
  3. Poverty as a Challenge
  4. Food Security in India

Civics Topics

  1. What is Democracy? Why Democracy
  2. Constitutional Design
  3. Electoral Politics
  4. Working of Institution
  5. Democratic Right

History

1.French revolution – Test

Answers

2.Socialism in Europe and the Russian Revolution – Test

Answers

3. Nazism and Rise of Hitler – Test

Ansswers

4. Forest Society and Colonialism – Test

Answers

5. Pastoralists in the Modern World – Test

Answers

6. Peasants and Farmers – Test

Answers

Geography

1. India-Size and Location – Test

Answers

2.Physical Features of India – Test

Answers

3.Drainage – Test

Answers

4. Climate – Test

Answers

5. Natural Vegetation and Wild Life – Test

Answers

6. Population – Test

Answers

Economics

1. Story of Village Palampur – Test

Answers

2. People as Resource – Test

Answers

3.Poverty as a Challenge – Test

Answers

4.Food Security in India – Test

Answers

Civics

1. What is Democracy? Why Democracy – Test

Answers

2.Constitutional Design – Test

Answers

3.Electoral Politics – Test

Answers

4.Working of Institution – Test

Answers

5. Democratic Right – Test

Answers

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Science Revision Test – STD 9

  1. Matter in Our Surroundings
  2. Is Matter around Us Pure
  3. The Fundamental Unit of Life
  4. Tissues
  5. Motion
  6. Force and Laws of Motion
  7. Gravitation
  8. Improvement in Food Resources
  9. Atoms and Molecules
  10. Structure of the Atom
  11. Diversity in Living Organisms
  12. Work and Energy
  13. Sound
  14. Why Do We Fall Ill
  15. Natural Resources

1. Matter in Our Surroundings – Test

Answers

2. Is Matter around Us Pure – Test

Answers

3. The Fundamental Unit of Life – Test

Answers

4.Tissues – Test

Answers

5. Motion – Test

Answers

6. Force and Laws of Motion – Test

Answers

7. Gravitation – Test

Answers

8.Improvement in Food Resources – Test

Answers

9.Atoms and Molecules – Test

Answers

10. Structure of the Atom – Test

Answers

11. Diversity in Living Organisms – Test

Answers

12. Work and Energy Test

Answers

13. Sound – Test

Answers

14. Why Do We Fall Ill – Test

Answers

15. Natural Resources – Test

Answers

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Chemistry Unit Test – STD 12

  1. Solid State
  2. Solutions
  3. Electrochemistry
  4. Chemical kinetics
  5. Surface chemistry
  6. General principles and processes of Isolation of Elements
  7. p-Block Elements
  8. d- and f- Block Elements
  9. Coordination Compounds
  10. Haloalkanes and Haloarenes
  11. Alcohols Phenols and Ethers
  12. Aldehydes Ketones and Carboxylic acids
  13. Amines Organic Compounds containing Nitrogen
  14. Biomolecules
  15. Polymers
  16. Chemistry in Everyday life

1. Solid State – Test

Answers

2. Solutions – Test

Answers

3. Electrochemistry – Test

Answers

4. Chemical kinetics – Test

Answers

5. Surface chemistry – Test

Answers

6. General principles and processes of Isolation of Elements – Test

Answers

7. p-Block Elements – Test

Answers

8. d- and f- Block Elements – Test

Answers

9. Coordination Compounds – Test

Answers

10. Haloalkanes and Haloarenes – Test

Answers

11. Alcohols Phenols and Ethers – Test

Answers

12. Aldehydes Ketones and Carboxylic acids – Test

Answers

13. Amines Organic Compounds containing Nitrogen – Test

Answers

14. Biomolecules – Test

Answers

15. Polymers – Test

Answers

16. Chemistry in Everyday life – Test

Answers

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Physics Revision Test -STD 12

  1. Electrostatics
  2. Current Electricity
  3. Magnetic effect of current & Magnetism
  4. Electromagnetic Induction and Alternating current
  5. Electromagnetic Waves
  6. Ray Optics
  7. Wave Optics
  8. Dual Nature of Matter
  9. Atoms and Nuclei
  10. Electronic Devices
  11. Communication Systems

1. Electrostatics – Test

Answers

2. Current Electricity – Test

Answers

3. Magnetic effect of current & Magnetism – Test

Answers

4. Electromagnetic Induction and Alternating current – Test

Answers

5. Electromagnetic Waves – Test

Answers

6. Ray Optics – Test

Answers

7. Wave Optics – Test

Answers

8. Dual Nature of Matter – Test

Answers

9. Atoms and Nuclei – Test

Answers

10. Electronic Devices – Test

Answers

11. Communication Systems – Test

Answers

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Mathematics Revision Test – STD 12

  1. Relations & Functions
  2. Inverse Trigonometric Functions
  3. Matrices
  4. Determinants
  5. Continuity & Differentiability
  6. Applications of Derivatives
  7. Integrals
  8. Applications of Integrals
  9. Differential Equations
  10. Vectors
  11. Three Dimensional Geometry
  12. Linear Programming
  13. Probability

1. Relations & Functions – Test

Answers

2.Inverse Trigonometric Functions – Test

Answers

3.Matrices – Test

Answers

4. Determinants – Test

Answers

5. Continuity & Differentiability – Test

Answers

6. Applications of Derivatives – Test

Answers

7. Integrals – Test

Answers

8. Applications of Integrals – Test

Answers

9. Differential Equations – Test

Answers

10. Vectors – Test

Answers

11.Three Dimensional Geometry – Test

Answers

12. Linear Programming – Test

Answers

13. Probability – Test

Answers

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Physics Revision Test -STD 11

  1. Physical World & Measurement
  2. Kinematics
  3. Laws of Motion
  4. Work, Energy & Power
  5. Motion of System of particles & Rigid Body
  6. Gravitation
  7. Properties of Bulk Matter
  8. Thermodynamics
  9. Behaviour of Perfect Gas & Kinetic Theory of gases
  10. Oscillations & Waves

1. Physical World & Measurement – Test

Answers

2. Kinematics – Test

Answers

3. Laws of Motion – Test

Answers

4. Work, Energy & Power – Test

Answers

5. Motion of System of particles & Rigid Body – Test

Answers

6. Gravitation – Test

Answers

7. Properties of Bulk Matter – Test

Answers

8. Thermodynamics – Test

Answers

9. Behaviour of Perfect Gas & Kinetic Theory of gases – Test

Answers

10. Oscillations & Waves – Test

Answers

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Chemistry Revision Test – STD 11

  1. Some Basic concepts of chemistry
  2. Structure of Atom
  3. Classification of Elements and Periodicity in Properties
  4. Chemical Bonding and molecular Structure
  5. States of Matter: Gases and Liquids
  6. Thermodynamics
  7. Equilibrium
  8. Redox Reactions
  9. Hydrogen
  10. S-Block Elements
  11. Some P-Block Elements
  12. Organic Chemistry: some basic Principles and Techniques
  13. Hydrocarbons
  14. Environmental Chemistry

1.Some Basic concepts of chemistry

Answers

2. Structure of Atom – Test

Answers

3.Classification of Elements and Periodicity in Properties – Test

Answers

4. Chemical Bonding and molecular Structure – Test

Answers

5. States of Matter: Gases and Liquids – Test

Answers

6.Thermodynamics – Test

Answers

7.Equilibrium – Test

Answers

8. Redox Reactions – Test

Answers

9. Hydrogen – Test

Answers

10.S-Block Elements – Test

Answers

11.Some P-Block Elements – Test

Answers

12. Organic Chemistry: some basic Principles and Techniques – Test

Answers

13. Hydrocarbons – Test

Answers

14. Environmental Chemistry – Test

Answers

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Mathematics Revision Test – STD 11

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  1. Sets
  2. Relations and Functions
  3. Trigonometric Functions
  4. Principle of Mathematical Induction
  5. Complex Numbers and Quadratic Equations
  6. Linear Inequalities
  7. Permutations and Combinations
  8. Binomial Theorem
  9. Sequences and Series
  10. Straight Lines
  11. Conic Sections
  12. Introduction to Three Dimensional Geometry
  13. Limits and Derivatives | worksheets in limits
  14. Mathematical Reasoning
  15. Statistics
  16. Probability

1. Sets – Test

Answers

2. Relations and Functions – Test

Answers

3. Trigonometric Functions – Test

Answers

4. Principle of Mathematical Induction – Test

Answers

5. Complex Numbers and Quadratic Equations – Test

Answers

6. Linear Inequalities – Test

Answers

7. Permutations and Combinations – Test

Answers

8. Binomial Theorem – Test

Answers

9. Sequences and Series – Test

Answers

10. Straight Lines – Test

Answers

11. Conic Sections – Test

Answers

12. Introduction to Three Dimensional Geometry – Test

Answers

13. Limits and Derivatives – Test

Answers

14. Mathematical Reasoning – Test

Answer

15. Statistics – Test

Answers

16. Probability – Test

Answers

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Science Revision Test – STD 10

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  1. Chemical Reactions and Equations
  2. Acids, Bases and Salts
  3. Metals and Non-Metals
  4. Life Processes
  5. Control and Coordination
  6. Electricity and its Effects
  7. Magnetic Effects of Electric Current
  8. Sources of Energy
  9. Carbon and Its Compounds
  10. Periodic Classification of Elements
  11. How do Organisms Reproduce
  12. Heredity and Evolution
  13. The Human Eye and Colourful World
  14. Light-Reflection and Refraction
  15. Our Environment
  16. Management of Natural Resources

1. Chemical Reactions and Equations – Test

Answers

2. Acids, Bases and Salts – Test

Answers

3. Metals and Non-Metals -Test

Answers

4. Life Processes – Test

Answers

5. Control and Coordination -Test

Answers

6. Electricity and its Effects – Test

Answers

7. Magnetic Effects of Electric Current – Test

Answers

8. Sources of Energy – Test

Answers

9. Carbon and Its Compounds – Test

Answers

10. Periodic Classification of Elements – Test

Answers

11. How do Organisms Reproduce – Test

Answers

12. Heredity and Evolution – Test

Answers

13. The Human Eye and Colourful World – Test

Answers

14. Light-Reflection and Refraction – Test

Answers

15. Our Environment – Test

Answers

16. Management of Natural Resources – Test

Answers