Instructions
In this assessment, you will encounter a number of different questions that will assess both your understanding of mathematics and your ability to reason quantitatively.
Do not use a calculator in this assessment. You shouldn’t need one to answer these questions, and the extra practice with arithmetic (long division, multi-digit multiplication, etc.) will just make you a better math student!
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What is the diameter of a circle that has an area of \(100\pi\)?
The radius of circle A is three times the radius of circle \(B\). What is the ratio of the area of circle A to the area of circle \(B\)?
Katie has a wooden circle with a circumference of \(20\pi\) inches. David wants to construct another wooden circle with twice the radius of Katie’s circle. How many square feet of wood does he need?
In the diagram above, angle \(PKL\) measures \(90\) degrees. What is the measure of angle \(x\), in degrees?
The image above shows a circle inscribed inside of a square. The radius of the circle is \(4\). What is the area of the shaded region?
Circle \(P\) has a diameter of \(\frac{1}{2}\) meter. Circle \(K\) has a radius of \(1\) meter. What is the ratio of the area of circle \(P\) to circle \(K\)?
Mary measures a tire to be \(2\) feet in diameter. If she rolls the tire and it makes \(20\) revolutions, approximately how far did the tire travel?
Arc \(CM\) has a measure of \(7\pi\) units. What is the measure of angle \(CAM\), in degrees?
A small wheel has a radius of \(2\) meters. A larger wheel has a radius of \(3\) meters. If both wheels make a single revolution, how much farther does the larger wheel travel? (use \(\pi=3.14\))
The outer and inner circles are concentric, as shown in the figure above. The length of diameter \(\overline{PQ}\) is \(20\) units. The area of the shaded region is \(64\pi\) units squared. What is the length of \(\overline{KM}\)?
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