Head To Head: Year 9 Factorisation (Hard Edition) Dr J Frost (jfrost@tiffin.kingston.sch.uk) www.drfrostmaths.com Last Updated: 30th September 2015

vs Head to Head You are head to head with the person on your table. You must circle or underline your answer to finalise it. Once you finalise an answer, you can’t change it. The first person with the correct answer wins. If both people get it wrong or neither answers, just do a quick paper-scissors-rock to settle. Winner moves up (as per left). Loser moves down. vs Head Table 8 9 Rear Table 2 7 10 15 3 6 11 14 4 5 12 13

(Click above to reveal answer) Question 1 Factorise 𝑥 2 −9𝑥 ? 𝒙(𝒙−𝟗) (Click above to reveal answer)

(Click above to reveal answer) Question 2 Factorise 𝑥 2 −5𝑥−14 ? (𝒙+𝟐)(𝒙−𝟕) (Click above to reveal answer)

(Click above to reveal answer) Question 3 Factorise 𝑥 2 −25 𝑦 2 ? (𝒙+𝟓𝒚)(𝒙−𝟓𝒚) (Click above to reveal answer)

(Click above to reveal answer) Question 4 Factorise 4 𝑥 2 −7𝑥−2 ? 𝟒𝒙+𝟏 𝒙−𝟐 (Click above to reveal answer)

(Click above to reveal answer) Question 5 Factorise 3 𝑥 2 −13𝑥−10 ? 𝟑𝒙+𝟐 𝒙−𝟓 (Click above to reveal answer)

(Click above to reveal answer) Question 6 Factorise 𝑥 3 −𝑥 ? 𝒙(𝒙+𝟏)(𝒙−𝟏) (Click above to reveal answer)

(Click above to reveal answer) Question 7 Factorise 6 𝑎 6 𝑏 6 −12 𝑎 2 𝑏 10 ? 𝟔 𝒂 𝟐 𝒃 𝟔 𝒂 𝟒 −𝟐 𝒃 𝟒 (Click above to reveal answer)

(Click above to reveal answer) Question 8 Fully factorise 2 𝑎 2 𝑏 2 −8 𝑎 4 𝑏 4 ? 𝟐 𝒂 𝟐 𝒃 𝟐 (𝟏+𝟐𝒂𝒃)(𝟏−𝟐𝒂𝒃) (Click above to reveal answer)

(Click above to reveal answer) Question 9 Factorise 𝑎𝑏+𝑎𝑐−3𝑏−3𝑐 ? (𝒂−𝟑)(𝒃+𝒄) (Click above to reveal answer)

(Click above to reveal answer) Question 10 Fully factorise 2 𝑥 2 −18 ? 𝟐(𝒙+𝟑)(𝒙−𝟑) (Click above to reveal answer)

(Click above to reveal answer) Question 11 Fully factorise 𝑥 2 − 𝑦 2 +𝑥−𝑦 ? (𝒙−𝒚)(𝒙+𝒚+𝟏) (Click above to reveal answer)

(Click above to reveal answer) Question 12 Fully factorise 𝑥 3 +4 𝑥 2 −𝑥−4 ? 𝒙+𝟒 𝒙+𝟏 𝒙−𝟏 (Click above to reveal answer)

(Click above to reveal answer) Question 13 (Without a calculator) Find the value of 1001 2 − 999 2 ? 𝟒𝟎𝟎𝟎 (Click above to reveal answer)

(Click above to reveal answer) Question 14 Fully factorise 𝑥 4 −6 𝑥 2 −7 ? 𝒙 𝟐 +𝟏 𝒙 𝟐 −𝟕 (Click above to reveal answer)

(Click above to reveal answer) Question 15 Fully factorise 𝑥 4 −8 𝑥 2 +16 ? 𝒙+𝟐 𝟐 𝒙−𝟐 𝟐 (Click above to reveal answer)

(Click above to reveal answer) Question 16 Factorise 𝑥 2 − 𝑦 2 − 𝑧 2 −2𝑦𝑧+𝑥−𝑦−𝑧 ? (𝒙−𝒚−𝒛)(𝒙+𝒚+𝒛+𝟏) (Click above to reveal answer)