Name:
Exam Style Questions
Factorisation
Equipment needed: Pen
Guidance
1. Read each question carefully before you begin answering it.
2. Check your answers seem right.
3. Always show your workings
Video Tutorial
www.corbettmaths.com/contents
Video 117
Answers and Video Solutions
© Corbettmaths 2022
1. Factorise
3y + 15
..................................
(1)
2. Factorise
4w − 6
..................................
(1)
3. Factorise
5m + 15
..................................
(1)
4. Factorise
15y + 20
..................................
(1)
5. Factorise
18x + 9
..................................
(1)
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6. Neena is trying to factorise 22x − 33
Her answer is 11(2x + 3)
Explain why Neena is incorrect.
……………………………………………………………………………………………
……………………………………………………………………………………………
(1)
7. Factorise
27x − 45
..................................
(1)
8. Factorise
14x + 20
..................................
(1)
9. Factorise
4x + 12y
..................................
(1)
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10. Factorise fully
100x − 40
..................................
(2)
11. Factorise
21x + 35y − 14z
..................................
(2)
12. Factorise
a 2 + 3a
..................................
(1)
13. Factorise
w 2 − 5w
..................................
(1)
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14. Factorise fully
2x 2 + 10x
..................................
(2)
15. Factorise fully
9y 2 + 6y
..................................
(2)
16. Factorise fully
24x 2 + 20x
..................................
(2)
17. Factorise fully
21x 2 − 14x
..................................
(2)
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18. George is trying to fully factorise 8x 2 − 12x
His final answer is 2(4x 2 − 6x)
Explain why George is incorrect.
……………………………………………………………………………………………
……………………………………………………………………………………………
(2)
19. Factorise fully
24y 2 − 18y
..................................
(2)
20. Factorise
c 3 + 2c
..................................
(1)
21. Factorise
2w 2 + w
..................................
(1)
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22. Factorise fully
9m 2 − 12mp
..................................
(2)
23. Factorise
6w + 10x
..................................
(1)
24. Factorise
12 + 4p
..................................
(1)
25. Factorise
y − y2
..................................
(1)
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26. Factorise fully
20a 2c + 30ac
..................................
(2)
27. Factorise fully
6x 3 + 8x 2 y
..................................
(2)
28. Factorise fully
w 2 y + wy 2
..................................
(2)
29. Factorise completely
8ap + 12cp − 4p 2
..................................
(3)
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