January 2003, Stage 1&2

Problems

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Little Squares

Stage: 1 Challenge Level: Challenge Level:1

Look at the squares in this problem. What does the next square look like? I draw a square with 81 little squares inside it. How long and how wide is my square?

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What's Left?

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?

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Tangrams

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Can you make five differently sized squares from the tangram pieces?

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Polydron

Stage: 2 Challenge Level: Challenge Level:1

This activity investigates how you might make squares and pentominoes from Polydron.

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Counter Ideas

Stage: 2 Challenge Level: Challenge Level:1

Here are some ideas to try in the classroom for using counters to investigate number patterns.

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Cycling Squares

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

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Two Primes Make One Square

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Can you make square numbers by adding two prime numbers together?

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Geoboards

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

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Penta Primes

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Using all ten cards from 0 to 9, rearrange them to make five prime numbers. Can you find any other ways of doing it?

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Seven Square Numbers

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Add the sum of the squares of four numbers between 10 and 20 to the sum of the squares of three numbers less than 6 to make the square of another, larger, number.