UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Principles of counting | Learn about the basic principles of counting |
| 2. | Multiplication principle | Learn about the multiplication principle. |
| 3. | Map coloring | Learn what is map coloring and how it is performed. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question I | Other | easy | 2 m. | This exercise is to test your knowledge of principle of counting. |
| 2. | Multiple choice question II | Other | easy | 2 m. | Try to solve the problems based on principle of counting. |
| 3. | Two marks example problems I | Other | medium | 2 m. | Find the number of ways are possible to have either tiffin or meal. |
| 4. | Two marks exercise problems I | Other | medium | 2 m. | Calculate the number of possible ways to wear a dress. |
| 5. | Two marks exercise problems II | Other | medium | 0 m. | Colour the map using minimum colours. |
| 6. | Two marks exercise problems III | Other | medium | 4 m. | Try to solve the problems based on principle of counting. |
| 7. | Two marks exercise problems IV | Other | medium | 2 m. | Find the number of possible ways, a student can choose a group. |
| 8. | Two marks exercise problems V | Other | medium | 4 m. | Try to solve the problems based on principle of counting. |
| 9. | Two marks exercise problems VI | Other | medium | 4 m. | Try to solve the problems based on principle of counting. |
| 10. | Two marks exercise problems VII | Other | medium | 0 m. | Colour the given pictures using minimum number of colours. |
| 11. | Five marks example problems II | Other | hard | 5 m. | This exercise is to check your knowledge of finding number of possible ways. |
| 12. | Five marks example problems III | Other | hard | 5 m. | This exercise is to check your knowledge about principles of counting. |
| 13. | Five marks example problems IV | Other | hard | 2 m. | This exercise is to check your knowledge about principles of counting. |
| 14. | Five marks exercise problems VIII | Other | hard | 5 m. | Determine the number of possible ways the roll numbers can be generated. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the possible ways to take one product | Other | easy | 2 m. | Practice to find the possible ways to take one product. |
| 2. | Student and quiz competition | Other | easy | 3 m. | Practice to Student and quiz competition |
| 3. | The number of ways to exit the auditorium | Other | easy | 3 m. | Practice to calculate the number of ways to exit the auditorium, if total number of doors are given. |
| 4. | Possible outcome of the coins | Other | easy | 4 m. | Practice to calculate the number of possible outcomes if certain number of coins tossed. |
| 5. | Traffic light signals and it possible outcomes | Other | easy | 3 m. | Practice to calculate the possible outcomes of the traffic lights. |
| 6. | Determine the possible ways to pick a ball | Other | easy | 4 m. | Practice to determine the possible ways to pick a ball in a box if total number of balls are given. |
| 7. | The number of ways to choose the dress | Other | easy | 4 m. | Practice to find the number of ways to choose the dress, if total number of dress are given. |
| 8. | Find the possible ways of to choose the food | Other | medium | 4 m. | Practice to find the possible ways of to choose the food. |
| 9. | The possible ways of vehicle getting out | Other | medium | 3 m. | Practice to find possible ways of vehicle getting out. |
| 10. | Determine the possible ways of to choose the product | Other | medium | 4 m. | Practice to determine the possible ways of to choose the product. |
| 11. | Find the possible ways to answer the questions | Other | medium | 3 m. | Practice to calculate how many variation of questions are possible in a competitive exam. |
| 12. | Calculate the number of ways to make the flag | Other | medium | 4 m. | Practice to calculate the number of ways to make the flag. |
| 13. | Determine the number of ways to make the timetable | Other | medium | 4 m. | Practice to determine the number of ways to make the timetable. |
| 14. | Find the number of ways the athletes win the prizes | Other | medium | 4 m. | Practice to find the number of ways the athletes win the prizes. |
| 15. | Device lock and possible ways to open | Other | hard | 4 m. | Practice to calculate the possible number of ways to unlock the device using the given details. |
| 16. | Find the number of ways to choose the vehicle tires | Other | hard | 4 m. | Practice to find the number of ways to choose the vehicle tires. |
| 17. | Number lock and possible ways to open | Other | hard | 5 m. | Calculate the possible number of ways to unlock the locker using the given details. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the possible number of unique codes | Other | medium | 2 m. | Try to solve the problems based on principle of counting. |
| 2. | Calculate the number of different ways to choose a leader | Other | hard | 5 m. | This exercise is to check your knowledge of finding number of possible ways. |
| 3. | Answer the following questions | Other | hard | 2 m. | This exercise is to check your knowledge about principles of counting. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Determine the number of ways to choose the dress | Other | easy | 4 m. | Find the number of ways to choose the dress, if total number of dress are given. |
| 2. | Exam and questions | Other | easy | 4 m. | Calculate how many variation of questions are possible in a competitive exam. |
| 3. | Map and colors | Other | medium | 3 m. | Find the minimum or maximum number of colors required to paint a map regions. |
| 4. | The number of ways to choose the dress | Other | medium | 4 m. | Calculate the number of ways to choose the dress, if total number of dress given. |
| 5. | The possible ways to take part in the events | Other | medium | 4 m. | Find the probability of other vehicles getting out second if the total number of vehicle is given |
| 6. | Do color the figure and submit it | Other | medium | 4 m. | Sketch the given figure with colors and find how many maximum and minimum colors are required if no adjacent regions have same colors. |
| 7. | Student and quiz competition | Other | easy | 2 m. | Practice to Student and quiz competition |
| 8. | Possible outcome of the coins | Other | easy | 2 m. | Practice to calculate the number of possible outcomes if certain number of coins tossed. |
| 9. | Problems based on principle of counting | Other | medium | 2 m. | Try to solve the problems based on principle of counting. |
| 10. | Possible unique codes | Other | medium | 2 m. | Try to solve the problems based on principle of counting. |
| 11. | Map and colors | Other | medium | 3 m. | Find the minimum or maximum number of colors required to paint a map regions. |
| 12. | Principle of counting | Other | easy | 2 m. | Practice to Student and quiz competition |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | medium | 8 m. | |
| 2. | Homework II | 00:20:00 | medium | 6 m. | |
| 3. | Homework III | 00:20:00 | medium | 10 m. | |
| 4. | Homework IV | 00:20:00 | medium | 9 m. | |
| 5. | Homework V | 00:20:00 | medium | 12 m. | |
| 6. | Homework VI | 00:20:00 | medium | 10 m. | |
| 7. | Revision test I | 00:20:00 | medium | 8 m. | |
| 8. | Revision test II | 00:20:00 | medium | 10 m. | |
| 9. | Revision test III | 00:20:00 | medium | 15 m. | |
| 10. | Revision test IV | 00:20:00 | medium | 17 m. | |
| 11. | Revision test V | 00:20:00 | medium | 13 m. | |
| 12. | Revision test VI | 00:20:00 | medium | 15 m. | |
| 13. | Periodic assessment - 1 | 00:10:00 | medium | 8 m. | PA 1 - Principle of Counting |
| 14. | Periodic assessment - 2 | 00:10:00 | medium | 2 m. | PA 2 - Map colouring |
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