UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Operations on matrices | Learn how to do the addition and subtraction of matrices. |
| 2. | Multiplication of Matrix by a Scalar | Learn how to perform a multiplication of Matrix by a scalar. |
| 3. | Properties of Matrix I | Learn about the various properties of the matrices. |
| 4. | Properties of Matrix II | Learn about the various properties of the matrices. |
| 5. | Additive identity and additive inverse | Learn about the additive identity and additive inverse of matrices. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question | Other | easy | 1 m. | Apply the operations of matrices to find the answer. |
| 2. | Two marks example problem I | Other | medium | 2 m. | Problems based on addition operation of matrices. |
| 3. | Two marks example problem II | Other | medium | 2 m. | Problems based on addition operation of matrices. |
| 4. | Two marks example problem III | Other | medium | 2 m. | Problems based on addition operation of matrices. |
| 5. | Two marks exercise problem I | Other | medium | 2 m. | Work on the problem to find the answers using operations of matrices. |
| 6. | Two marks exercise problem II | Other | medium | 2 m. | Work on the problem to find the answers using operations of matrices. |
| 7. | Five marks example problem I | Other | hard | 5 m. | In this exercise, find the answers using operations of matrices. |
| 8. | Five marks exercise problem II | Other | hard | 5 m. | This exercise is to check your knowledge in operations of matrices. |
| 9. | Five marks exercise problem III | Other | hard | 5 m. | This exercise is to check your knowledge in operations of matrices. |
| 10. | Five marks exercise problem IV | Other | hard | 5 m. | Try to solve the given questions using operations of matrices. |
| 11. | Five marks exercise problem V | Other | hard | 5 m. | Try to solve the given questions using operations of matrices. |
| 12. | Five marks exercise problem VI | Other | hard | 10 m. | Try to solve the given questions using operations of matrices. |
| 13. | Five marks exercise problem VII | Other | hard | 5 m. | Try to solve the given questions using operations of matrices. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Addition on 2×2 matrices | Other | easy | 2 m. | Practise the addition on 2×2 matrices. |
| 2. | Addition on 3×3 matrices | Other | easy | 2 m. | Practise the addition on 3×3 matrices. |
| 3. | Additive Inverse matrix | Other | easy | 2 m. | Practise to the find the additive inverse of the given matrix. |
| 4. | Find the matrix 'B' | Other | easy | 2 m. | Practise to find the matrix 'B' if (A+B) and 'A' matrix are given. |
| 5. | Multiplication by a Scalar: 3×3 matrix | Other | medium | 3 m. | Practise the matrix multiplication by a Scalar on 3×3 matrix. |
| 6. | Exam and marks: Addition on 4×4 matrices | Other | medium | 3 m. | Find the total marks in each subjects if the subjects marks are given as 3 × 3 matrices. |
| 7. | Scalar multiplication: Find the value of the matrix | Other | medium | 4 m. | Practise to do a scalar multiplication by a on 3×3 matrices. |
| 8. | Check the associative property on 3 × 2 matrix | Other | medium | 7 m. | Check the associative property on the given 3 × 2 matrix. |
| 9. | Commutative property of matrices | Other | medium | 5.6 m. | Verify the commutative property of matrices on 3×3 matrices. |
| 10. | Find the unknown values on 2 × 2 matrices | Other | medium | 4 m. | Practise to find the value of a, b, c, d from the given matrices. |
| 11. | Associative property | Other | hard | 7 m. | Check whether the given matrices satisfy the associative property of addition. |
| 12. | Determine the value of matrices | Other | hard | 4 m. | Practise to determine the value of given matrices. |
| 13. | Calculate the value of variables x, y and z | Other | hard | 4 m. | Practise to calculate the value of variables x, y and z on 2×2 matrices. |
| 14. | Verify the distributive property | Other | hard | 6 m. | Check whether the given matrices satisfy the distributive property of addition. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the matrix 2A + B | Other | medium | 2 m. | Problems based on addition operation of matrices. |
| 2. | Find the unknown values of the variables | Other | hard | 5 m. | In this exercise, find the answers using operations of matrices. |
| 3. | Verify the following | Other | hard | 0 m. | This exercise is to check your knowledge in operations of matrices. |
| 4. | Determine the values of x, y and z | Other | hard | 10 m. | Try to solve the given questions using operations of matrices. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Check the additive inverse | Other | easy | 3 m. | Check the additive inverse on the given matrix. |
| 2. | Scalar multiplication: Calculate the value of the matrix | Other | medium | 4 m. | Perform the scalar multiplication on 3×3 matrices and find the value of the given matrices. |
| 3. | Solve: Calculate the x, y and z values | Other | medium | 3 m. | Solve the given matrices and calculate the x, y and z values. |
| 4. | Solve: Find the x and y values | Other | medium | 2 m. | Solve the given matrices and calculate the x and y values. |
| 5. | Scalar multiplication: Determine the value of the matrix | Other | medium | 4 m. | Perform the scalar multiplication on 3×3 matrices and find the value of the given matrices. |
| 6. | Addition and subtraction of matrices | Other | easy | 2 m. | Apply the operations of matrices to find the answer. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | medium | 23 m. | |
| 2. | Homework II | 00:20:00 | medium | 10 m. | |
| 3. | Homework III | 00:20:00 | medium | 13 m. | |
| 4. | Homework IV | 00:20:00 | medium | 11.6 m. | |
| 5. | Homework V | 00:20:00 | medium | 18 m. | |
| 6. | Revision test I | 00:20:00 | medium | 10 m. | |
| 7. | Revision test II | 00:20:00 | medium | 5 m. | |
| 8. | Revision test III | 00:20:00 | medium | 16 m. | |
| 9. | Revision test IV | 00:20:00 | medium | 7 m. | |
| 10. | Revision test V | 00:20:00 | medium | 13 m. | |
| 11. | Periodic Assessment - 3 | 00:10:00 | medium | 2 m. | PA3 |
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