Geometry Warmups

Geometry Warmups: Level 1 Challenges


12+12+12+32+42+72+112=? 1^2 + 1^2 + 1^2 + 3^2 + 4^2 + 7^2 + 11^2 = \, ?

If lines ll and mm are parallel, then what is the value of angle xx (in degrees)?

The diagram above shows a large square, whose midpoints are connected up to form a smaller square. We then connect up the midpoints of the smaller square, to obtain the inner shaded square.

What fraction of the large square is shaded?

Note: Give your answer as a decimal to 2 decimal places.

The picture above is a semicircle with diameter AC,\overline{AC}, and AC\overline{AC} is perpendicular to BD.\overline{BD}. It is known that AB=4 cmAB=4\text{ cm} and BC=1 cm.BC=1\text{ cm}. If BD=x,BD=x, find x.x.

The clock shown has hands positioned at 5 o'clock. What is the degree measure of angle xx?


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