We had actually quite a few solutions submitted because that this task.

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Ashna indigenous St George Vazhathope in India”¨ sent in the following:I thought about the perfect squares in between 4 and also 20. Then i thought about the element numbers between 4 and also 20.Norwich reduced School pupils Sanjit, Thomas, Julian, Charlie, Thomas, Isobel, Arnie, Jack, Edward, Freddie, Jack, Mateo, Marissa, Jasmine, Isaac, Amelie and Freya sent out in solutions. Benji summarised it fine saying:Yes, it is possible, this is what i got;11+5=16=4 squared23+2=25=5 squared13+23=36=6 squared2+47=49=7 squared51+13=64=8 squared2+79=81=9 squared89+11=100=10 squared11 squared is impossible139+5=144=12 squared167+2=169=13 squared193+3=196=14 squared223+2=225=15 squaredSo what i did is composed down every the square numbers then I found two numbers the were element and included together to same the square numbers.Olive, Edith, Daisy, Taylor, Leah and also Millie from Tidcombe”¨ wrote:We couldn"t make 1 with two element numbers.We could make all the various other square number to 100. Back there room usually two ways to do all the also numbers, there deserve to only be one means to make 4 v two element numbers due to the fact that the only means to make 4 is 1+3 and 2+2. 1 is no a prime number.If the square number you are trying to make is even, you will certainly find more than one solution.If the square number you space trying to do is weird you have the right to only uncover one equipment that provides 2 as one of the element numbers. In every the strange square numbers, one of the element numbers for the equipment is a 2.However, the square number 1 division the pattern and also can"t be made with any prime numbers. This is because an odd square number can be made from one odd and even prime yet 2 is the only even prime number.Here space the services we have found:2 + 2 = 47 + 2 = 911 + 5 = 16 13 + 3 =1623 + 2 = 2523 + 13 = 36 7 + 29 = 3647 + 2 = 4959 + 5 = 64 53 + 11 = 6479 + 2 = 8183 + 17 = 100 53 + 47 = 100Rishi native Orton Wistow main School wrote:4 squared is 16. 16=11+55 squared is 25 25=23+26 squared is 36 36=31+57 squared is 49 49=2+478 squared is 64 64=61+39 squared is 81 81=2+79I did that in a similar way to Dina and also that was significant because i realised if the square to be an strange number the enhancement would need to involve 2 to attain the possibility.I liked the way Bailey go it due to the fact that it involves looking in ~ the problem visually and not simply mathematically.I prefer the means Dina go it due to the fact that it involves noticing patterns and using castle to her advantage.I prefer the means Shameem go it because she provided the most important numbers so she might use castle later.I did discover a square number the couldn"t be made in this way, 121, the reason being that, gift an strange square number, the addition has to be completed with 2 and also 119 (121-2) is equal to 17 times 7 (also 119).We had these five responses native the international School Brussels. Lock came from TJ, Emma, Fede, Luna and also Raili. Click the photo to open a bigger version on a new page.

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