1. Square Number Task Task 1 Task 2 Task 3 Task 4 Task 5 Task 6 Task 7
NC Level 4 to 8

2. Find the perimeter of each of these squares
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?
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3. Find the area of each of these squares
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?
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4. Try with the squares of the numbers between 4 and 20.
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?
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5. “The three numbers add to a square number.
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?
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6. 52 + 122 = 132 Find other square numbers that work like this?
Square Task 5
= 132
Because = 169
Find other square numbers that work like this?
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7. 3, 4, 5 is called a Pythagorean Triple because
Square Task 6
3, 4, 5 is called a Pythagorean Triple because
= 52.
Show how the two smaller squares can cover the larger square.
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8. Square Task 7
3, 4, 5 is called a Pythagorean Triple because
= 52.
Can you find triples where you multiply the two square numbers instead of adding them?
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9. Square Task 8
In this large square 3 squares have been coloured. How many possible squares are there?
1 by 1 squares = 25
2 by 2 squares = 16
3 by 3 squares = 9
4 by 4 squares = 4
5 by 5 squares = 1
Total = 55
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10. 2 4 The red square is tilted and called a [4,2] square.
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
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11. Square Task 10
Can you add three square numbers to find an answer that is a square number?
Is there a pattern?
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