Expanding and Factorising Quadratics
Key Stage: 4 ★★★
A two digit number and its reverse are squared. The difference between these is a square. What was the original number?
This problem provides reinforcement of the concept of place value and experience of reading the words in a question and forming an algebraic expression using the information given. It also provides practice in algebra involving the difference of two squares, factorising and solving linear simultaneous equations.
This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
Key Stage: 4 ★★★
A two digit number and its reverse are squared. The difference between these is a square. What was the original number?
This problem provides reinforcement of the concept of place value and experience of reading the words in a question and forming an algebraic expression using the information given. It also provides practice in algebra involving the difference of two squares, factorising and solving linear simultaneous equations.
This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
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