Math Geometry & Measurements – Circles
Math Geometry & Measurements – Circles
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!
Once you input your answer, click on “Check” to see immediate feedback about the question, including an explanation. You can also skip the question and come back to it later.
You will see several answer choices, but only one will be correct. Select the correct answer choice.
Tips
- These aren’t basic math questions – they’re tricky! Read closely and make sure you know what’s being asked.
- Do calculations on paper with a pencil. You don’t get extra credit for answering in your head!
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- 1 of 10Question1
What is the diameter of a circle that has an area of \(100\pi\)?
CorrectIncorrect - 2 of 10Question2
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 \(B\)?
CorrectIncorrect - 3 of 10Question3
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?
CorrectIncorrect - 4 of 10Question4
In the diagram above, angle \(PKL\) measures \(90\) degrees. What is the measure of angle \(x\), in degrees?
CorrectIncorrect - 5 of 10Question5
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?
CorrectIncorrect - 6 of 10Question6
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 \(K\)?
CorrectIncorrect - 7 of 10Question7
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?
CorrectIncorrect - 8 of 10Question8
Arc \(CM\) has a measure of \(7\pi\) units. What is the measure of angle \(CAM\), in degrees?
CorrectIncorrect - 9 of 10Question9
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 \(\pi=3.14\))
CorrectIncorrect - 10 of 10Question10
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 \(\overline{KM}\)?
CorrectIncorrect
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