Waste less time on Facebook — follow Brilliant.
Back to all chapters

Geometry Warmups

Mathematics is filled with shapes that are kaleidoscopic in variety. Wielded since ancient times, the power of geometry helps us examine and measure these shapes.

Geometry Warmups: Level 1 Challenges


\[ 1^2 + 1^2 + 1^2 + 3^2 + 4^2 + 7^2 + 11^2 = \, ? \]

If lines \(l\) and \(m\) are parallel, then what is the value of angle \(x\) (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 \(\overline{AC},\) and \(\overline{AC}\) is perpendicular to \(\overline{BD}.\) It is known that \(AB=4\text{ cm}\) and \(BC=1\text{ cm}.\) If \(BD=x,\) find \(x.\)

The clock shown has hands positioned at 5 o'clock. What is the degree measure of angle \(x\)?


Problem Loading...

Note Loading...

Set Loading...