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Odd Squares<br />
Draw a 3 x 3 square anywhere on the 1–100 grid.<br />
1. Look for a relationship between the middle number in the square and the total.<br />
Write about what you notice.<br />
+ + + =<br />
2. (a) Mark several other 3 x 3 squares on the 1–100 grid and use the boxes below to<br />
check whether a similar relationship exists.<br />
(b) Explain what you found.<br />
3. Try marking 5 x 5 squares and 7 x 7 squares on the number grid. Explore the relationship<br />
between the sum of the corner numbers and the centre number.<br />
R.I.C. Publications www.ricgroup.com.au<br />
58<br />
<strong>Number</strong> <strong>Grids</strong><br />
ISBN 978-1-86311-826-2