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Secondary 2Maths revision

Factorisation

Build confidence with factorisation through short revision prompts and exam-style checks.

Focus points
Review the core ideas in factorisation.
Solve routine questions with clear working and good notation.
Apply the topic in short exam-style questions.
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Question lineup

Mark each one done as you go — finish them all to claim your chips.

100 revision prompts
Question 1OpenStax Elementary Algebra (paraphrased practice)
Solve carefully: Factorise x^2 + 7x + 12.
Question 2OpenStax Elementary Algebra (paraphrased practice)
Show full working for: Factorise 6y^2 - 15y.
Question 3OpenStax Elementary Algebra (paraphrased practice)
Answer this exam-style prompt: Factorise x^2 + 7x + 12.
Question 4OpenStax Elementary Algebra (paraphrased practice)
Write down the key method, then solve: Factorise 6y^2 - 15y.
Question 5OpenStax Elementary Algebra (paraphrased practice)
Work this out and simplify your final answer: Factorise x^2 + 7x + 12.
Question 6OpenStax Elementary Algebra (paraphrased practice)
Set out your steps clearly for: Factorise 6y^2 - 15y.
Question 7OpenStax Elementary Algebra (paraphrased practice)
Find the answer and state your method for: Factorise x^2 + 7x + 12.
Question 8OpenStax Elementary Algebra (paraphrased practice)
Complete this revision check: Factorise 6y^2 - 15y.
Question 9OpenStax Elementary Algebra (paraphrased practice)
Solve and check your result for: Factorise x^2 + 7x + 12.
Question 10OpenStax Elementary Algebra (paraphrased practice)
Use accurate notation to answer: Factorise 6y^2 - 15y.
Question 11OpenStax Elementary Algebra (paraphrased practice)
Solve carefully: Factorise x^2 + 7x + 12.
Question 12OpenStax Elementary Algebra (paraphrased practice)
Show full working for: Factorise 6y^2 - 15y.
Question 13OpenStax Elementary Algebra (paraphrased practice)
Answer this exam-style prompt: Factorise x^2 + 7x + 12.
Question 14OpenStax Elementary Algebra (paraphrased practice)
Write down the key method, then solve: Factorise 6y^2 - 15y.
Question 15OpenStax Elementary Algebra (paraphrased practice)
Work this out and simplify your final answer: Factorise x^2 + 7x + 12.
Question 16OpenStax Elementary Algebra (paraphrased practice)
Set out your steps clearly for: Factorise 6y^2 - 15y.
Question 17OpenStax Elementary Algebra (paraphrased practice)
Explain which rule or property is most important in factorisation and illustrate it with a worked example.
Question 18OpenStax Elementary Algebra (paraphrased practice)
Write one easier and one harder factorisation question, then solve both.
Question 19OpenStax Elementary Algebra (paraphrased practice)
Describe a common mistake students make in factorisation and correct it with an example.
Question 20OpenStax Elementary Algebra (paraphrased practice)
Turn one of today’s factorisation questions into a short word problem and solve it.
Question 21OpenStax Elementary Algebra (paraphrased practice)
Create a similar factorisation question of your own and solve it fully.
Question 22OpenStax Elementary Algebra (paraphrased practice)
Explain which rule or property is most important in factorisation and illustrate it with a worked example.
Question 23OpenStax Elementary Algebra (paraphrased practice)
Write one easier and one harder factorisation question, then solve both.
Question 24OpenStax Elementary Algebra (paraphrased practice)
Describe a common mistake students make in factorisation and correct it with an example.
Question 25OpenStax Elementary Algebra (paraphrased practice)
Turn one of today’s factorisation questions into a short word problem and solve it.
Question 26OpenStax Elementary Algebra (paraphrased practice)
Create a similar factorisation question of your own and solve it fully.
Question 27OpenStax Elementary Algebra (paraphrased practice)
Explain which rule or property is most important in factorisation and illustrate it with a worked example.
Question 28OpenStax Elementary Algebra (paraphrased practice)
Write one easier and one harder factorisation question, then solve both.
Question 29OpenStax Elementary Algebra (paraphrased practice)
Describe a common mistake students make in factorisation and correct it with an example.
Question 30OpenStax Elementary Algebra (paraphrased practice)
Turn one of today’s factorisation questions into a short word problem and solve it.
Question 31OpenStax Elementary Algebra (paraphrased practice)
Create a similar factorisation question of your own and solve it fully.
Question 32OpenStax Elementary Algebra (paraphrased practice)
Explain which rule or property is most important in factorisation and illustrate it with a worked example.
Question 33OpenStax Elementary Algebra (paraphrased practice)
Write one easier and one harder factorisation question, then solve both.
Question 34OpenStax Elementary Algebra (paraphrased practice)
Describe a common mistake students make in factorisation and correct it with an example.
Question 35OpenStax Elementary Algebra (paraphrased practice)
Turn one of today’s factorisation questions into a short word problem and solve it.
Question 36OpenStax Elementary Algebra (paraphrased practice)
Create a similar factorisation question of your own and solve it fully.
Question 37OpenStax Elementary Algebra (paraphrased practice)
Explain which rule or property is most important in factorisation and illustrate it with a worked example.
Question 38OpenStax Elementary Algebra (paraphrased practice)
Write one easier and one harder factorisation question, then solve both.
Question 39OpenStax Elementary Algebra (paraphrased practice)
Describe a common mistake students make in factorisation and correct it with an example.
Question 40OpenStax Elementary Algebra (paraphrased practice)
Turn one of today’s factorisation questions into a short word problem and solve it.
Question 41OpenStax Elementary Algebra (paraphrased practice)
Create a similar factorisation question of your own and solve it fully.
Question 42OpenStax Elementary Algebra (paraphrased practice)
Explain which rule or property is most important in factorisation and illustrate it with a worked example.
Question 43OpenStax Elementary Algebra (paraphrased practice)
Write one easier and one harder factorisation question, then solve both.
Question 44OpenStax Elementary Algebra (paraphrased practice)
Describe a common mistake students make in factorisation and correct it with an example.
Question 45OpenStax Elementary Algebra (paraphrased practice)
Turn one of today’s factorisation questions into a short word problem and solve it.
Question 46OpenStax Elementary Algebra (paraphrased practice)
Create a similar factorisation question of your own and solve it fully.
Question 47OpenStax Elementary Algebra (paraphrased practice)
Explain which rule or property is most important in factorisation and illustrate it with a worked example.
Question 48OpenStax Elementary Algebra (paraphrased practice)
Write one easier and one harder factorisation question, then solve both.
Question 49OpenStax Elementary Algebra (paraphrased practice)
Describe a common mistake students make in factorisation and correct it with an example.
Question 50OpenStax Elementary Algebra (paraphrased practice)
Turn one of today’s factorisation questions into a short word problem and solve it.
Question 51OpenStax Elementary Algebra (paraphrased practice)
Create a similar factorisation question of your own and solve it fully.
Question 52OpenStax Elementary Algebra (paraphrased practice)
Explain which rule or property is most important in factorisation and illustrate it with a worked example.
Question 53OpenStax Elementary Algebra (paraphrased practice)
Write one easier and one harder factorisation question, then solve both.
Question 54OpenStax Elementary Algebra (paraphrased practice)
Describe a common mistake students make in factorisation and correct it with an example.
Question 55OpenStax Elementary Algebra (paraphrased practice)
Turn one of today’s factorisation questions into a short word problem and solve it.
Question 56OpenStax Elementary Algebra (paraphrased practice)
Create a similar factorisation question of your own and solve it fully.
Question 57OpenStax Elementary Algebra (paraphrased practice)
Explain which rule or property is most important in factorisation and illustrate it with a worked example.
Question 58OpenStax Elementary Algebra (paraphrased practice)
Write one easier and one harder factorisation question, then solve both.
Question 59OpenStax Elementary Algebra (paraphrased practice)
Describe a common mistake students make in factorisation and correct it with an example.
Question 60OpenStax Elementary Algebra (paraphrased practice)
Turn one of today’s factorisation questions into a short word problem and solve it.
Question 61OpenStax Elementary Algebra (paraphrased practice)
Create a similar factorisation question of your own and solve it fully.
Question 62OpenStax Elementary Algebra (paraphrased practice)
Explain which rule or property is most important in factorisation and illustrate it with a worked example.
Question 63OpenStax Elementary Algebra (paraphrased practice)
Write one easier and one harder factorisation question, then solve both.
Question 64OpenStax Elementary Algebra (paraphrased practice)
Describe a common mistake students make in factorisation and correct it with an example.
Question 65OpenStax Elementary Algebra (paraphrased practice)
Turn one of today’s factorisation questions into a short word problem and solve it.
Question 66OpenStax Elementary Algebra (paraphrased practice)
Create a similar factorisation question of your own and solve it fully.
Question 67OpenStax Elementary Algebra (paraphrased practice)
Explain which rule or property is most important in factorisation and illustrate it with a worked example.
Question 68OpenStax Elementary Algebra (paraphrased practice)
Write one easier and one harder factorisation question, then solve both.
Question 69OpenStax Elementary Algebra (paraphrased practice)
Describe a common mistake students make in factorisation and correct it with an example.
Question 70OpenStax Elementary Algebra (paraphrased practice)
Turn one of today’s factorisation questions into a short word problem and solve it.
Question 71OpenStax Elementary Algebra (paraphrased practice)
Create a similar factorisation question of your own and solve it fully.
Question 72OpenStax Elementary Algebra (paraphrased practice)
Explain which rule or property is most important in factorisation and illustrate it with a worked example.
Question 73OpenStax Elementary Algebra (paraphrased practice)
Write one easier and one harder factorisation question, then solve both.
Question 74OpenStax Elementary Algebra (paraphrased practice)
Describe a common mistake students make in factorisation and correct it with an example.
Question 75OpenStax Elementary Algebra (paraphrased practice)
Turn one of today’s factorisation questions into a short word problem and solve it.
Question 76OpenStax Elementary Algebra (paraphrased practice)
Create a similar factorisation question of your own and solve it fully.
Question 77OpenStax Elementary Algebra (paraphrased practice)
Explain which rule or property is most important in factorisation and illustrate it with a worked example.
Question 78OpenStax Elementary Algebra (paraphrased practice)
Write one easier and one harder factorisation question, then solve both.
Question 79OpenStax Elementary Algebra (paraphrased practice)
Describe a common mistake students make in factorisation and correct it with an example.
Question 80OpenStax Elementary Algebra (paraphrased practice)
Turn one of today’s factorisation questions into a short word problem and solve it.
Question 81OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Create a similar factorisation question of your own and solve it fully.
Question 82OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Explain which rule or property is most important in factorisation and illustrate it with a worked example.
Question 83OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Write one easier and one harder factorisation question, then solve both.
Question 84OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Describe a common mistake students make in factorisation and correct it with an example.
Question 85OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Turn one of today’s factorisation questions into a short word problem and solve it.
Question 86OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Create a similar factorisation question of your own and solve it fully.
Question 87OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Explain which rule or property is most important in factorisation and illustrate it with a worked example.
Question 88OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Write one easier and one harder factorisation question, then solve both.
Question 89OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Describe a common mistake students make in factorisation and correct it with an example.
Question 90OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Turn one of today’s factorisation questions into a short word problem and solve it.
Question 91OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Create a similar factorisation question of your own and solve it fully.
Question 92OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Explain which rule or property is most important in factorisation and illustrate it with a worked example.
Question 93OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Write one easier and one harder factorisation question, then solve both.
Question 94OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Describe a common mistake students make in factorisation and correct it with an example.
Question 95OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Turn one of today’s factorisation questions into a short word problem and solve it.
Question 96OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Create a similar factorisation question of your own and solve it fully.
Question 97OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Explain which rule or property is most important in factorisation and illustrate it with a worked example.
Question 98OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Write one easier and one harder factorisation question, then solve both.
Question 99OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Describe a common mistake students make in factorisation and correct it with an example.
Question 100OpenStax Elementary Algebra (paraphrased practice) / Free Online Revision extended practice
Turn one of today’s factorisation questions into a short word problem and solve it.