PDF chapter test TRY NOW
Methodical recommendation:
Theory
Number | Name | Description |
---|---|---|
Number 1. | Name Square identity of a trinomial | Description To recall the square identities and to learn the expansion of a trinomial based on a square identity. |
Number 2. | Name Cubic identities | Description Learn about the cubic identities. |
Number 3. | Name Some examples on cubic identities | Description Learn to expand the cubic terms using identities. |
Number 4. | Name Some deductions on cubic identities | Description To learn the results on cubic identities based on standard identities. |
Number 5. | Name Cubic identity for three variables | Description To learn the cubic identity for three variables and to derive at a special case based on the cubic identity. |
Practice Questions
Number | Name | Type | Difficulty | Marks | Description |
---|---|---|---|---|---|
Number 1. | Name Use suitable identity to find the product | Type 2nd type - interpretation | Difficulty easy | Marks 2 m. | Description To find the product of the given factors using suitable square identity. |
Number 2. | Name Factorise using appropriate identity | Type 2nd type - interpretation | Difficulty easy | Marks 2 m. | Description To factorise the given polynomial using appropriate square identity. |
Number 3. | Name Expand using the identity | Type 2nd type - interpretation | Difficulty easy | Marks 2 m. | Description To expand the given expression with the help of identity. |
Number 4. | Name Express the cube in expanded form | Type 2nd type - interpretation | Difficulty easy | Marks 2 m. | Description To expand the cubic expression with the help of identity. |
Number 5. | Name Evaluate without direct multiplication | Type 2nd type - interpretation | Difficulty easy | Marks 2.5 m. | Description To execute the product value without directly multiplying it. |
Number 6. | Name Factorise the given polynomial | Type 2nd type - interpretation | Difficulty easy | Marks 2 m. | Description Seek to use the required identity to execute factorisation. |
Number 7. | Name Find the product | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description To find the product without direct multiplication using suitable identity. |
Number 8. | Name Factorise the polynomial | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description Use appropriate identity to execute factorisation. |
Number 9. | Name Expand the given polynomial | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description To expand the given polynomial using suitable identity. |
Number 10. | Name Factorise the expression | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description To factorise the given cubic polynomial using suitable algebraic identity. |
Number 11. | Name Evaluate the cubic number | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description Try practicing identities with the number stated. |
Number 12. | Name Write in expanded form | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description To write the expanded form of the given cubic expression. |
Number 13. | Name Find the product using appropriate identity | Type 3rd type - analysis | Difficulty medium | Marks 3 m. | Description To find the product of the given expression using the appropriate square identity. |
Number 14. | Name Expand the square | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description To expand the given square using the square identity in three variables. |
Number 15. | Name Find the possible dimensions of the cuboid | Type 3rd type - analysis | Difficulty medium | Marks 3 m. | Description To find the possible dimensions of the cuboid from the given volume. |
Number 16. | Name Find the value of the product | Type 3rd type - analysis | Difficulty hard | Marks 4 m. | Description To find the product of the given numbers using the square identity. |
Number 17. | Name Find the area using suitable identity | Type 3rd type - analysis | Difficulty hard | Marks 4 m. | Description Try practicing the equation using square identities. |
Number 18. | Name Factorise the expression with proper identity | Type 2nd type - interpretation | Difficulty hard | Marks 4 m. | Description Use the correct identity to start performing the factorisation. |
Number 19. | Name Find the dimensions | Type 3rd type - analysis | Difficulty hard | Marks 4.5 m. | Description To find the dimensions of the cuboid from the given expression. |
Number 20. | Name Find the length and breadth | Type 3rd type - analysis | Difficulty hard | Marks 4 m. | Description To find the length and breadth of the rectangle from the given expression. |
Number 21. | Name Expand the given factor using the identity | Type 3rd type - analysis | Difficulty hard | Marks 4 m. | Description Seek to use the identities to widen the factors. |
Questions for Teacher Use
Number | Name | Type | Difficulty | Marks | Description |
---|---|---|---|---|---|
Number 1. | Name Find the value of the cubic expression | Type Other | Difficulty easy | Marks 2 m. | Description Based on the cubic identity for three variables. |
Number 2. | Name Write the cube in expanded form | Type Other | Difficulty easy | Marks 3 m. | Description Expand the cube by pursuing algebraic identity. |
Number 3. | Name Enumerate the value | Type Other | Difficulty medium | Marks 3 m. | Description Problems based on some deductions in the cubic identities. |
Number 4. | Name Enumerate the value of the given expression | Type Other | Difficulty medium | Marks 3 m. | Description Problems based on some deductions in the cubic identities. |
Number 5. | Name Find the value! | Type Other | Difficulty medium | Marks 3 m. | Description To find the value of the given expression using suitable identity. |
Number 6. | Name Evaluate | Type Other | Difficulty hard | Marks 4 m. | Description Based on the cubic identity of three variables. |
Number 7. | Name Match the columns | Type Other | Difficulty hard | Marks 4 m. | Description To identify the algebraic identity used and to find the expansion for the given expression. |
Number 8. | Name Activity! | Type Other | Difficulty hard | Marks 4 m. | Description Proof to derive the square identity for three variables. |
Tests
Number | Name | Recomended time: | Difficulty | Marks | Description |
---|---|---|---|---|---|
Number 1. | Name Training test | Recomended time: 00:15:00 | Difficulty medium | Marks 10 m. | Description |
Number 2. | Name Training test | Recomended time: 00:15:00 | Difficulty medium | Marks 10 m. | Description |
Periodic assessments
Number | Name | Recomended time: | Difficulty | Marks | Description |
---|---|---|---|---|---|
Number 1. | Name Homework | Recomended time: 00:20:00 | Difficulty hard | Marks 12.5 m. | Description |
Number 2. | Name Homework | Recomended time: 00:20:00 | Difficulty hard | Marks 12.5 m. | Description |
Number 3. | Name Homework | Recomended time: 00:20:00 | Difficulty hard | Marks 13 m. | Description |
Number 4. | Name Progress test | Recomended time: 00:25:00 | Difficulty hard | Marks 17 m. | Description |
Number 5. | Name Progress test | Recomended time: 00:25:00 | Difficulty hard | Marks 15 m. | Description |
Number 6. | Name Periodic Assessment | Recomended time: 00:15:00 | Difficulty medium | Marks 20 m. | Description |