4th Grade Measuring and Drawing Angles Worksheets with Answers (Free PDF)

4th grade measuring angles worksheet – Maths PDF

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This 4th grade measuring angles worksheet covers measuring and drawing angles (Common Core 4.MD.C.5, 4.MD.C.6, 4.MD.C.7), with a free PDF to print.

Key takeaway: This worksheet helps fourth grade students practice measuring, drawing, and finding unknown angles in degrees.

Topic: Measuring and Drawing Angles (4th grade)
Content: 20 worksheet problems, from easy to challenging
Standards: 4.MD.C.5, 4.MD.C.6, 4.MD.C.7
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This worksheet helps fourth grade students practice measuring, drawing, and finding unknown angles in degrees. Also, early problems connect turns to degrees, and later problems use protractors, sketches, and real settings such as clocks and pizza slices.

There are 20 problems. The first group asks for degrees in full, half, quarter, and three-quarter turns. The next group uses the protractor and asks students to sketch angles, and the middle group adds or subtracts angle parts. Then, the last six are word problems about clock hands, a door, a robot, a picture frame, and sprinklers. Also, allow about 30 minutes.

These 20 problems practice angles as turns, the one-degree angle, reading a protractor, sketching angles, and adding or subtracting angles to find an unknown. They match Common Core 4.MD.C.5, 4.MD.C.6, and 4.MD.C.7.

The last six problems are word problems about a door, a robot, a picture frame, and sprinklers. Write the degree sign with every angle.

Grade 4 · Common Core State Standards: 4.MD.C.5, 4.MD.C.6, 4.MD.C.7

4th grade measuring angles worksheet: worksheet problems 1 to 10

1 – Full turn

First, how many degrees are in a full turn around a circle?

2 – Half turn

Next, how many degrees are in a half turn?

3 – Quarter turn

Then, how many degrees are in a quarter turn?

4 – Three-quarter turn

Now, how many degrees are in a three-quarter turn?

5 – Read the protractor

Also, read the measure of the angle.

Read the scale from 0.

6 – A wider angle

First, read the measure of the angle.

Read the scale from 0.

7 – Classify angles

Next, write acute, right, or obtuse for each angle: \(35^{\circ}\), \(90^{\circ}\), \(120^{\circ}\), \(72^{\circ}\).

8 – Angle between two rays

Then, two rays cross the protractor scale at 30° and 80°. Find the measure of the angle between them.

Both rays start at the center.

9 – Sketch a 45° angle

Now, use a protractor to sketch an angle that measures \(45^{\circ}\). Label the vertex.

10 – Sketch a 120° angle

Also, use a protractor to sketch an angle that measures \(120^{\circ}\).

Worksheet problems 11 and up

11 – Add two angles

First, two angles share a ray and do not overlap. One measures \(40^{\circ}\) and the other measures \(25^{\circ}\). Find the measure of the combined angle.

12 – Unknown angle in a right angle

Next, a right angle is split into two angles. One measures \(38^{\circ}\). Find the other.

Parts add to 90°.

13 – Unknown angle on a line

Then, two angles sit together on a straight line. One measures \(115^{\circ}\). Find the other.

A straight line is 180°.

14 – Three parts

Now, a big angle is made of three smaller angles that measure \(30^{\circ}\), \(45^{\circ}\), and \(25^{\circ}\). Find the big angle.

15 – Clock hands

Also, the minute hand of a clock starts at 12 and moves to the 4. Each number on a clock is \(30^{\circ}\) from the next. How many degrees does the minute hand turn?

Minute hand at 4.

16 – Pizza slices

Maya’s pizza is cut into 8 equal slices. Each slice has an angle of \(45^{\circ}\) at the center. Maya eats 3 slices. What is the total angle of the slices she ate?

A pizza with 8 equal slices.

Worksheet problem 17 and after

17 – Opening a door

Jamal pushes a door open by \(70^{\circ}\). Then he pushes it another \(35^{\circ}\). What is the total angle the door has opened? Is it acute or obtuse?

18 – Turning a robot

Ethan faces north. He turns his robot a quarter turn clockwise, then another \(45^{\circ}\). How many degrees has the robot turned? How many more degrees would make a half turn?

19 – Picture frame brace

Now, a corner of Priya’s frame is a right angle. A brace splits it into \(37^{\circ}\) and an unknown angle. A second brace splits the unknown angle into \(20^{\circ}\) and another unknown angle. Find both unknown angles.

20 – Sprinklers

Diego has two sprinklers that together should water a full circle. Sprinkler A sweeps through \(210^{\circ}\). How many degrees must sprinkler B sweep? If B sweeps only \(90^{\circ}\), how many degrees are left dry?

Key facts behind this 4th grade measuring angles worksheet

Key facts

An angle has two rays and one shared endpoint called the vertex.
Next, a full circle is 360 degrees, a half turn is 180 degrees, and a quarter turn is 90 degrees.
A one-degree angle turns through 1/360 of a circle.
Acute angles are less than 90 degrees, right angles are exactly 90 degrees, and obtuse angles are greater than 90 degrees.
If an angle is split into parts, the whole angle is the sum of the parts.

Common mistakes with this 4th grade measuring angles worksheet

Students call an angle of exactly 90 degrees acute. Also, a right angle is exactly 90 degrees, and acute means less than that.
Students subtract from 90 when two angles sit on a straight line. Angles on a line total 180 degrees, so use 180 as the whole.
Students miscount the gaps on a clock face. Each gap between numbers is 30 degrees, so count the gaps, then multiply.
Students stop after the first unknown angle in a multi-step problem. Instead, if a second ray splits that angle again, subtract a second time.

Tips before you start the worksheet problems

Keep a sharp pencil when you sketch an angle. Finally, a thin line makes it much easier to line up the protractor.
Draw a quick picture for every word problem. A small sketch of a clock, a door, or a circle shows the correct operation.
Teachers can have students measure one real angle in the room, such as a book corner, and compare it with a right angle.

Download the 4th grade measuring angles worksheet as a PDF with the button below and keep it with your notes.

4th grade measuring angles worksheet: frequently asked questions

How do you sketch an angle with a protractor?

Draw one ray, then place the protractor center on its endpoint with zero on the ray. Make a small dot at the required number, remove the protractor, and draw a ray from the endpoint through the dot. Label the vertex.

How many degrees does a clock hand turn between two numbers?

A clock face is a full circle of 360 degrees split among 12 numbers, so each gap is 30 degrees. If a hand moves from the 12 to the 2, it passes two gaps, so it turns 2 times 30, which is 60 degrees.

How do you find the missing part of a right angle?

Subtract the known part from 90. If one part is 25 degrees, the other part is 90 minus 25, or 65 degrees. Check by adding the two parts and making sure the sum is exactly 90.

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