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# Post-assessment | CBSE | G8 | C.12 Factorisation

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- 1. Multiple Choice1 minute1 pt
The factorisation of 12a

^{2}b+15ab^{2}gives:3ab(4ab+5)

3ab(4a+5b)

3a(4a+5b)

3b(4a + 5b)

- 2. Multiple Choice1 minute1 pt
The factors of 4y

^{2 }– 12y + 9 is:(2y+3)

^{2}(2y-3)

^{2}(2y-3)(2y+3)

None of the above

- 3. Multiple Choice1 minute1 pt
The common factor of a

^{3}b^{3}and ab^{2}is:a

^{2}b^{2}ab

^{2}a

^{2}bab

- 4. Multiple Choice1 minute1 pt
The common factor of 24a

^{3}b^{4}, 36a^{4}c^{4}and 48a^{3}b^{2}c is:12a

^{3}24a

^{3}36a

^{3}48a

^{3} - 5. Multiple Choice1 minute1 pt
The factors of xyz are:

x

y

z

All of the above

- 6. Open EndedUpload answer type2 minutes2 pts
Express the following as in the form of (a+b)(a-b)

A) a

^{2}– 64B) 20a

^{2}– 45b^{2}C) 32x

^{2}y^{2}– 8D) x

^{2}– 2xy + y^{2}– z^{2} - 7. Open EndedUpload answer type2 minutes2 pts
For a = 3, simplify a

^{2}+ 5a + 4 and a^{2}– 5a - 8. Open EndedUpload answer type2 minutes2 pts
Verify whether the following equations are correct. Rewrite the incorrect equations correctly.

A) (a + 6)

^{2}= a^{2}+ 12a + 36B) (2a)

^{2}+ 5a = 4a + 5a - 9. Open EndedUpload answer type3 minutes3 pts
Find the common factors of the following:

A) 6 xyz, 24 xy

^{2}and 12 x^{2}yB) 3x

^{2}y^{3}, 10x^{3 }y^{2}and 6x^{2}y^{2}z - 10. Open EndedUpload answer type3 minutes3 pts
Factorize x

^{2}+ 6x – 16 - 11. Open EndedUpload answer type3 minutes3 pts
Solve for (4x

^{2}– 100) ÷ 6(x + 5) - 12. Open EndedUpload answer type5 minutes5 pts
Factorise:

A) 14m^{5}n^{4}p^{2}– 42m^{7}n^{3}p^{7}– 70m^{6}n^{4}p^{3}

B) 2a^{2}(b^{2}– c^{2}) + b^{2}(2c^{2}– 2a^{2}) + 2c^{2}(a^{2}– b^{2})

- 13. Open EndedUpload answer type5 minutes5 pts
The area of a rectangle is 6a

^{2 }+ 36a and 36a width. Find the length of the rectangle. - Answer choicesTagsAnswer choicesTags
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