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Can you solve this Mathematics Brain Teaser?

08 October 2015

This week, Mr Brown, Head of Mathematics presents our first Mathematics Challenge for you to try at home. 

  • Maths Challenge

Mr Brown says “Visual patterns are a great way to develop a range of problem solving skills at a range of levels. In this problem, students can be asked a variety of questions. A simple question is to ask how many circles in the next step or next three steps. Describing the pattern in words or with algebra takes it to the next level, especially if you ask for the nth term rule. Finally, how can you use the geometry of the pattern to give reasoning for your answer?”

Visual thinking can really be creative when considering this particular problem. Can you come up with the nth term rule for this pattern and then use it to find the number of circles required for the 43rd step?

Please email me with your answers.

Martin Brown, Head of Mathematics 

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The British International School Shanghai, Puxi

111 Jinguang RoadHuacao TownMinhang201107Shanghai


金光路111号华漕镇上海市 闵行区201107

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