Class 8 - Factorisation Worksheet 1

1. Common Factor of 13xyz, 26xy², 39x²y is _____.

a) 13xy b) 13xyz
c) 13x²y²z² d) 13xz

2. Factorised form of 21xy − 24x + 34y − 68 is _____.

a) (21x + 34y)(y − 2)
b) (21x + 34)(y − 2)
c) (21xy + 34y)(-24x − 68)
d) (21x + 34)(y + 2)

3. The common factor of 4ab and 3cd is _____.

a) -1 b) 1
c) c d) 12

4. Number of factors of (x + y)² is _____.

a) 4 b) 3
c) 1 d) 2

5. The factorised form 4x − 24 is _____.

a) 4(x − 6) b) 24(x − 4)
c) 24 × 4x d) 4(2x − 12)

6. The factors of (a² − 36) are _____.

a) (a − 6)(a − 6) b) (a + 6)(a + 6)
c) (a + 6)(a − 6) d) (a − 36)(a − 36 )

7. Factorised form of 22xy + 10xyz _____.

a) 20xy(2 + z) b) 2xy(11 + 5z)
c) xy(22 + 10z) d) 5xy(22 + 2z)

8. Factorised form of 16y² − 24y + 9

a) (2y − 3)(2y − 3)
b) (4y − 3)(4y + 3 )
c) 4y² − 3²
d) (4y − 3)(4y − 3)

9. Common factor of mn² + pn is _____.

10. The common factor method of factorisation for a polynomial is based on _____ property.

11. The factorisation of 2x + 4y is _____.

12. The factors of a² + 2ab + b² are (a − b) and (a − b). Write True / False.

13. Common factor of 12a²b² + 3ab² − 18 is 3. Write True/False.

14. Find the greatest common factor of 4x2y, 24xy2, -12xy.

15. Factorise mp³ − np² + qp.

16. Factorise ly + mx + my + lx.

17. Factorise l2 + 8mn − 2nl − 4lm.

18. Factorised 1 − 16b².

19. Factorised (m − n)² − (m − 3n)².

20. Factorised 1 − (x + y)².

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Factorisation Worksheet-1Download the pdf

Class-8 Factorisation Worksheet

Factorisation-AnswerDownload the pdf