Mental Multiplication and Division/Modulus Arithmetic
Key Stage: 3 ★
If today is Monday, what day will it be in 1000 days’ time?
This resource poses several similar problems, and introduces two alternative solution approaches to consider - making use of quotients and remainders in mental arithmetic and decimals when dividing on a calculator. Students can explore the relationship between a remainder and the decimal part of division. This resource could also serve as a gentle introduction to modular arithmetic for older students.
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: 3 ★
If today is Monday, what day will it be in 1000 days’ time?
This resource poses several similar problems, and introduces two alternative solution approaches to consider - making use of quotients and remainders in mental arithmetic and decimals when dividing on a calculator. Students can explore the relationship between a remainder and the decimal part of division. This resource could also serve as a gentle introduction to modular arithmetic for older students.
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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