Testinar Grade 4 math

One-Degree Angles

Students will understand one degree as one of 360 equal turns around a point and use degrees to measure angles.

CH07-07 Measurement, Data, and Angles

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

If an angle turns through \(45\) one-degree angles, what is the measure of the angle?
1. 4.5°
2. 45°
3. 90°
4. 450°
An angle turns through \(40\) one-degree angles. What is the measure of this angle?
1. 40°
2. 41°
3. 39°
4. 80°
A circle is divided into sections. The section shown contains \(90\) one-degree angles. What is the measure of this angle?
1. 90°
2. 9°
3. 180°
4. 45°
Ming drew an angle. She said it measures 60°. How many one-degree angles does her angle contain?
1. \(6\) one-degree angles
2. \(30\) one-degree angles
3. \(60\) one-degree angles
4. \(120\) one-degree angles
The angle opens from 0° to 45°. What is its measure?
1. 45°
2. 50°
3. 46°
4. 90°
Ava's angle measures 30°. How many one-degree angles does it contain?
1. \(15\) one-degree angles
2. \(30\) one-degree angles
3. \(60\) one-degree angles
4. \(3\) one-degree angles
This is a right angle. How many one-degree angles make a right angle?
1. \(45\) one-degree angles
2. \(180\) one-degree angles
3. \(90\) one-degree angles
4. \(360\) one-degree angles
A full circle is shown with several rays drawn inside. How many degrees are in the full circle?
1. 90°
2. 180°
3. 360°
4. 720°

Teacher and parent reference

Answer key and explanations

B. 45°
If an angle turns through \(n\) one-degree angles, it measures \(n\) degrees, so \(45\) one-degree angles equal \(\mathbf{45°}\).
A. 40°
The measure of an angle equals the number of one-degree angles it turns through, so \(40\) one-degree angles equal \(\mathbf{40°}\).
A. 90°
The sector is marked with \(90\) one-degree angle tick marks, so its measure is \(\mathbf{90°}\).
C. \(60\) one-degree angles
The measure in degrees tells us how many one-degree angles fit in the angle, so 60° means \(\mathbf{60 \text{ one-degree angles}}\).
A. 45°
Counting the one-degree angle marks from 0° to 45° gives us \(\mathbf{45°}\).
B. \(30\) one-degree angles
When we say an angle measures 30°, that means it is made of \(\mathbf{30 \text{ one-degree angles}}\).
C. \(90\) one-degree angles
A right angle opens to form a 90° angle, which means it is turned through \(\mathbf{90 \text{ one-degree angles}}\).
C. 360°
A full circle is a 360° angle—it turns through \(\mathbf{360 \text{ one-degree angles}}\).