UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| Number 1. | Name Introduction | Description To recall what are sets and the practical applications of sets. |
| Number 2. | Name Ordered pair | Description To learn what are ordered pairs. |
| Number 3. | Name Cartesian product of two sets | Description To learn and define the cartesian product of two sets. |
| Number 4. | Name Some more illustrations on cartesian products of two sets | Description To illustrate cartesian product of two sets using graphs. |
| Number 5. | Name Cartesian product of three sets | Description To define and learn the cartesian product of three sets. |
| Number 6. | Name Mindmap | Description This mindmap diagram used to visually organize information into a hierarchy, and showing its relationships. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Multiple choice questions I | Type Other | Difficulty easy | Marks 1 m. | Description To find the value of a and b in the ordered pair for the given condition. |
| Number 2. | Name Multiple choice questions II | Type Other | Difficulty easy | Marks 1 m. | Description To find the value of n[(AUC)×B] from the given sets. |
| Number 3. | Name Multiple choice questions III | Type Other | Difficulty easy | Marks 1 m. | Description To find the value of a and b in the ordered pair for the given condition. |
| Number 4. | Name Two marks example problems | Type Other | Difficulty medium | Marks 2 m. | Description Try to find the answers for the given questions. |
| Number 5. | Name Two marks exercise problems I | Type Other | Difficulty medium | Marks 2 m. | Description Try to find the answers for the given questions. |
| Number 6. | Name Two marks exercise problems II | Type Other | Difficulty medium | Marks 2 m. | Description Try to find the answers for the given questions. |
| Number 7. | Name Two marks exercise problems III | Type Other | Difficulty medium | Marks 2 m. | Description Try to answer the given questions. |
| Number 8. | Name Two marks exercise problems IV | Type Other | Difficulty medium | Marks 2 m. | Description Try to answer the given questions. |
| Number 9. | Name Five marks example problems I | Type Other | Difficulty medium | Marks 5 m. | Description Try to find the answers for the given questions. |
| Number 10. | Name Five marks example problems II | Type Other | Difficulty medium | Marks 5 m. | Description Try to find the answers for the given questions. |
| Number 11. | Name Five marks example problems III | Type Other | Difficulty medium | Marks 5 m. | Description Try to find the answers for the given questions. |
| Number 12. | Name Five mark exercise problems I | Type Other | Difficulty medium | Marks 5 m. | Description Check your understanding skills in the concept of cartesian sets. |
| Number 13. | Name Five mark exercise problems II | Type Other | Difficulty medium | Marks 5 m. | Description Check your understanding skills in the concept of cartesian sets. |
| Number 14. | Name Five mark exercise problems III | Type Other | Difficulty medium | Marks 5 m. | Description Check your understanding skills in the concept of cartesian sets. |
| Number 15. | Name Five mark exercise problems IV | Type Other | Difficulty hard | Marks 5 m. | Description Practice the problem to verify the given cartesian product. |
| Number 16. | Name Five mark exercise problems V | Type Other | Difficulty hard | Marks 5 m. | Description Practice the problem to verify the given cartesian product. |
| Number 17. | Name Five mark exercise problems VI | Type Other | Difficulty hard | Marks 5 m. | Description Practice the problem to verify the given cartesian product. |
| Number 18. | Name Five marks exercise problems VII | Type Other | Difficulty hard | Marks 5 m. | Description Try to answer the given questions. |
| Number 19. | Name Five marks exercise problems VIII | Type Other | Difficulty hard | Marks 5 m. | Description Try to answer the given questions. |
| Number 20. | Name Five marks exercise problems IX | Type Other | Difficulty hard | Marks 5 m. | Description To verify the given property on cartesian Product. |
| Number 21. | Name Five marks exercise problems X | Type Other | Difficulty hard | Marks 5 m. | Description To verify the given property on cartesian Product. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Find n(A) | Type Other | Difficulty easy | Marks 1 m. | Description To find the value of n(A) using the given values. |
| Number 2. | Name Find n(A×B) | Type Other | Difficulty easy | Marks 2 m. | Description To find the value of n(A× B) from the given sets. |
| Number 3. | Name Find the set A and B | Type Other | Difficulty easy | Marks 2 m. | Description To find the sets A and B from the given cartesian product. |
| Number 4. | Name Say true or false | Type Other | Difficulty medium | Marks 2 m. | Description To say whether the given statement is true or false for the given condition. |
| Number 5. | Name Find (a, b) | Type Other | Difficulty medium | Marks 2 m. | Description To find the value of a and b in the ordered pair for the given condition. |
| Number 6. | Name Find 'x' and 'y' | Type Other | Difficulty medium | Marks 2 m. | Description To find the value of 'x' and 'y' from the given ordered pairs by factorisation. |
| Number 7. | Name Find the product A×B×C | Type Other | Difficulty medium | Marks 2 m. | Description To practise the cartesian product on three sets. |
| Number 8. | Name Find as directed | Type Other | Difficulty medium | Marks 2 m. | Description To find the cartesian products for the given conditions. |
| Number 9. | Name Find the cartesian product of two sets | Type Other | Difficulty medium | Marks 5 m. | Description To find the cartesian product from the given sets A and B. |
| Number 10. | Name Determine the elements in the set and remaining ordered pairs of the cartesian product | Type Other | Difficulty hard | Marks 5 m. | Description To understand cartesian product better. |
| Number 11. | Name Verify the given statement | Type Other | Difficulty hard | Marks 5 m. | Description To verify the given statement using the concept of cartesian product of two sets. |
| Number 12. | Name Verify the distributive property over union | Type Other | Difficulty hard | Marks 5 m. | Description To verify the distributive property of cartesian product over union. |
| Number 13. | Name Verify the distributive property over intersection | Type Other | Difficulty hard | Marks 5 m. | Description To verify the distributive property of cartesian product over intersection. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Find n[(AUC)×B] | Type Other | Difficulty easy | Marks 1 m. | Description To find the value of n[(AUC)×B] from the given sets. |
| Number 2. | Name Find the true statement | Type Other | Difficulty medium | Marks 1 m. | Description To say whether the given statement is true or false for the given condition. |
| Number 3. | Name Find the truthness of the given statement | Type Other | Difficulty hard | Marks 5 m. | Description To verify the given statement using the concept of cartesian products. |
| Number 4. | Name Verify the given statement | Type Other | Difficulty hard | Marks 5 m. | Description To verify the given property on cartesian Product. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Find the set | Type Other | Difficulty easy | Marks 2 m. | Description To understand cartesian product better. |
| Number 2. | Name Find the following | Type Other | Difficulty medium | Marks 2 m. | Description To find the given cartesian products if the sets A and B are given. |
| Number 3. | Name Task for you! | Type Other | Difficulty medium | Marks 5 m. | Description To test the observation on the cartesian product of two sets. |
| Number 4. | Name Find the correct figure | Type Other | Difficulty hard | Marks 5 m. | Description To find the correct figure which illustrates the given cartesian product. |
| Number 5. | Name Find the set A | Type Other | Difficulty hard | Marks 2 m. | Description Try to answer the given questions. |
| Number 6. | Name The cartesian product of sets | Type Other | Difficulty easy | Marks 1 m. | Description To find the value of a and b in the ordered pair for the given condition. |
Worksheets
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Worksheet 01: Cartesian Product of Sets | Recomended time: 00:20:00 | Difficulty medium | Marks 17 m. | Description |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Homework I | Recomended time: 00:20:00 | Difficulty easy | Marks 6 m. | Description |
| Number 2. | Name Homework II | Recomended time: 00:20:00 | Difficulty medium | Marks 6 m. | Description |
| Number 3. | Name Homework III | Recomended time: 00:25:00 | Difficulty medium | Marks 9 m. | Description |
| Number 4. | Name Homework IV | Recomended time: 00:25:00 | Difficulty medium | Marks 10 m. | Description |
| Number 5. | Name Homework V | Recomended time: 00:25:00 | Difficulty medium | Marks 8 m. | Description |
| Number 6. | Name Revision test I | Recomended time: 00:35:00 | Difficulty medium | Marks 20 m. | Description |
| Number 7. | Name Revision test II | Recomended time: 00:35:00 | Difficulty hard | Marks 20 m. | Description |
| Number 8. | Name Revision test III | Recomended time: 00:35:00 | Difficulty hard | Marks 20 m. | Description |
| Number 9. | Name Revision test IV | Recomended time: 00:40:00 | Difficulty hard | Marks 25 m. | Description |
| Number 10. | Name Revision test V | Recomended time: 00:40:00 | Difficulty hard | Marks 20 m. | Description |
| Number 11. | Name Periodic Assessment | Recomended time: 00:10:00 | Difficulty medium | Marks 2 m. | Description PA 1 - Relations |
| Number 12. | Name Periodic Assessment - 3 | Recomended time: 00:10:00 | Difficulty medium | Marks 2 m. | Description PA3 |
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