UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| Number 1. | Name Visualizing real numbers | Description Learn how to locate real numbers on number line. |
| Number 2. | Name Process of successive magnification | Description Learn the concept of sucessive magnification to locate the number with decimal expansions. |
| Number 3. | Name Represent recurring decimal number on number line. | Description Learn how to locate recurring and non-terminating decimals on number line. |
| Number 4. | Name Properties of real numbers | Description Recall the properties of real number and learn how to apply. |
| Number 5. | Name How to represent square roots of real numbers geometrically | Description Learn the procedure to find the length of square root of positive real number. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Multiple choice question | Type Other | Difficulty easy | Marks 0 m. | Description This exercise is to check your knowledge in Real numbers. |
| Number 2. | Name Five marks example problems I | Type Other | Difficulty hard | Marks 0 m. | Description This is a self assessment exercise for visual representation of real numbers. |
| Number 3. | Name Five marks example problems II | Type Other | Difficulty hard | Marks 0 m. | Description This is a self assessment exercise for visual representation of real numbers. |
| Number 4. | Name Five marks exercise problems I | Type Other | Difficulty hard | Marks 0 m. | Description This is a self assessment exercise for visual representation of real numbers. |
| Number 5. | Name Five marks exercise problems II | Type Other | Difficulty hard | Marks 0 m. | Description This is a self assessment exercise for visual representation of real numbers. |
| Number 6. | Name Five marks exercise problems III | Type Other | Difficulty hard | Marks 0 m. | Description This is a self assessment exercise for visual representation of real numbers. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Locate the range of a real number | Type Other | Difficulty easy | Marks 2 m. | Description Practice a problem on magnifying the number on the real line. |
| Number 2. | Name Classify the expressions as rational or irrational | Type Other | Difficulty easy | Marks 3 m. | Description Simplify the expression and classify the number. |
| Number 3. | Name Simplify the expression | Type Other | Difficulty easy | Marks 3 m. | Description Apply the suitable identity and simplify the irrational expression. |
| Number 4. | Name Magnify the number with one decimal place | Type Other | Difficulty medium | Marks 4 m. | Description Apply the concept of process of successive magnification and locate the decimal number. |
| Number 5. | Name Add, multiply the given expressions | Type Other | Difficulty medium | Marks 4 m. | Description Use the properties of real numbers to simplify the expressions. |
| Number 6. | Name Subtract, divide the given expressions | Type Other | Difficulty medium | Marks 4 m. | Description Practice a problem on identities and properties of real numbers. |
| Number 7. | Name Add, subtract and multiply the given expressions | Type Other | Difficulty hard | Marks 5 m. | Description Practice to solve opertions on real numbers. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Visual representation of a real number | Type Other | Difficulty hard | Marks 0 m. | Description This is a self assessment exercise for visual representation of real numbers. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Determine the value of the irrational expression | Type Other | Difficulty easy | Marks 3 m. | Description Apply the identities to simplify the expression |
| Number 2. | Name Simplify the expression | Type Other | Difficulty medium | Marks 4 m. | Description With the help of identities convert the expressions into simpler form. |
| Number 3. | Name Represent a real number on number line | Type Other | Difficulty hard | Marks 5 m. | Description Apply the concept of sucessive magnification and locate the provided decimal expansion. |
| Number 4. | Name Represent the recurring and non-terminating decimal number on real line | Type Other | Difficulty hard | Marks 5 m. | Description With the help of paper represent the provided decimal number on real line by the process of successive magnification. |
| Number 5. | Name Represent square root of real number geometrically | Type Other | Difficulty hard | Marks 5 m. | Description Use the procedure to construct the square root of any positisve real number geometrically to do this work. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Homework I | Recomended time: 00:20:00 | Difficulty medium | Marks 9 m. | Description |
| Number 2. | Name Homework II | Recomended time: 00:20:00 | Difficulty medium | Marks 2 m. | Description |
| Number 3. | Name Homework III | Recomended time: 00:20:00 | Difficulty medium | Marks 6 m. | Description |
| Number 4. | Name Revision test I | Recomended time: 00:20:00 | Difficulty medium | Marks 8 m. | Description |
| Number 5. | Name Revision test II | Recomended time: 00:20:00 | Difficulty medium | Marks 9 m. | Description |
| Number 6. | Name Revision test III | Recomended time: 00:20:00 | Difficulty medium | Marks 13 m. | Description |
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