Square Number Task
Task 1
Task 2
Task 3
Task 4
Task 5
Task 6
Task 7
Task 8
Task 9
Task 10
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?
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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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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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http://nrich.maths.org/1150
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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http://nrich.maths.org/1119
Square Task 5
52 + 122 = 132
Because 25 + 144 = 169
Find other square numbers that work like
this?
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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.
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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?
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Square Task 8
In this large square 3 squares have been
coloured. How many possible squares
are there?
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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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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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