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Games, Activity Notes and Answers<br />
Revealing Rectangles<br />
page 60<br />
2. 40, 40. Both answers are the<br />
same.<br />
3. (a) 42 + 94 = 136,<br />
44 + 92 = 136<br />
(b) 78 + 100 = 178,<br />
80 + 98 = 178<br />
In each case the pairs of<br />
numbers in opposite corners<br />
of the rectangle add to the<br />
same amount.<br />
4. In each case pairs of numbers in the opposite corners<br />
of a rectangle will add to the same amount.<br />
5. Pairs of numbers in the opposite corners of a<br />
parallelogram will also add to the same amount.<br />
6. The same thing will occur if you use a 0–99 grid.<br />
Four Squares<br />
page 61<br />
1. (a) 12 x 23 = 276,<br />
13 x 22 = 286,<br />
(b) 35 x 46 = 1 610,<br />
36 x 45 = 1 620<br />
(c) 52 x 63 = 3 276,<br />
53 x 62 = 3 286<br />
(d) 69 x 80 = 5 520,<br />
70 x 79 = 5 530<br />
(e) 81 x 92 = 7 452, 82 x 90 = 7 462<br />
2. In each case the answers differ by ten.<br />
3. (a) 2 x 24 = 48, 4 x 22 = 88<br />
(b) 26 x 48 = 1 248, 28 x 46 = 1 288<br />
(c) 52 x 74 = 3 848, 54 x 72 = 3 888<br />
(d) 78 x 100 = 7 800, 80 x 98 = 7 840<br />
4. In each case the answers differ by 40.<br />
5. Students should find when investigating 4x4 squares<br />
that the answers differ by 90.<br />
R.I.C. Publications www.ricgroup.com.au<br />
27<br />
<strong>Number</strong> <strong>Grids</strong><br />
ISBN 978-1-86311-826-2
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