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Square Number Task

Square Number Task. NC Level 4 to 8. Square Task 1. Find the perimeter of each of these squares If you kept drawing squares of different sizes would you ever get a perimeter of 58?. Home. Square Task 2. Find the area of each of these squares

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Square Number Task

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  1. Square Number Task NC Level 4 to 8

  2. Square Task 1 Find the perimeter of each of these squares If you kept drawing squares of different sizes would you ever get a perimeter of 58? Home

  3. Square Task 2 Find the area of each of these squares If you kept drawing squares of different sizes would you ever get an area of 196? Home

  4. Square Task 3 Try with the squares of the numbers between 4 and 20. Did you find any square numbers which cannot be made by adding two prime numbers together? http://nrich.maths.org/1150 Home

  5. Square Task 4 Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children: Mona, Bob and Jamie. “The three numbers add to a square number. Mona can see two numbers which add to a square. Bob can see two numbers which add to a square. Jamie can see two numbers but they don't add to a square. It's either 5 too little or 6 too big! What numbers did the three children have on their backs? http://nrich.maths.org/1119 Home

  6. Square Task 5 52 + 122 = 132 Because 25 + 144 = 169 Find other square numbers that work like this? Home

  7. Square Task 6 3, 4, 5 is called a Pythagorean Triple because 32 + 42 = 52. Show how the two smaller squares can cover the larger square. Home

  8. Square Task 7 3, 4, 5 is called a Pythagorean Triple because 32 + 42 = 52. Can you find triples where you multiply the two square numbers instead of adding them? Home

  9. Square Task 8 In this large square 3 squares have been coloured. How many possible squares are there? Home

  10. Square Task 9 The red square is tilted and called a [4,2] square. Find the area of the square. Investigate the link between the name of the square and the area. 2 4 Home

  11. Square Task 10 Can you add three square numbers to find an answer that is a square number? Is there a pattern? Home

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