This grade 4 angles worksheet gives 22 problems on measuring and adding angles, ordered from easy to hard, with a separate answer key.
These 22 problems practice standards 4.MD.C.5, 4.MD.C.6, and 4.MD.C.7: angles as turns of a circle, one-degree angles, measuring and drawing angles with a protractor, and adding and subtracting angle measures.
The set begins with turns and degrees, moves to reading and drawing angles, and ends with unknown-angle equations and multi-step word problems.
Grade 4 Angles Worksheet: problems 1–5
Problem 1: Quarter turn
Find the number of degrees in a quarter turn of a circle.
Problem 2: Half turn and three-quarter turn
Find the number of degrees in (a) a half turn and (b) a three-quarter turn.
Problem 3: Fraction of a circle
Find the measure of an angle that turns through \(\frac{1}{8}\) of a circle.
Problem 4: Counting one-degree angles
Write the measure of an angle that opens through 75 one-degree angles.
Problem 5: Comparing two angles
Angle A is made of 40 one-degree angles. Angle B is made of 25 one-degree angles. Tell which angle is greater and by how many degrees.
Grade 4 Angles Worksheet: problems 6–10
Problem 6: Reading a protractor: small angle
Find the measure of the angle formed by ray A and ray B.
Problem 7: Reading a protractor: wide angle
Find the measure of the angle formed by ray A and ray B.
Problem 8: Reading from the left
Ray A lies on the left end of the baseline. Find the measure of the angle formed by ray A and ray B.
Problem 9: Rays not on zero
Find the measure of the angle formed by ray A and ray B.
Problem 10: Rays not on zero: wide angle
Find the measure of the angle formed by ray A and ray B.
Grade 4 Angles Worksheet: problems 11–15
Problem 11: Draw a 50 degree angle
Draw ray OA. Then use a protractor to draw an angle of \(50^{\circ}\) with vertex O and ray OA as one side. Describe the steps.
Problem 12: Draw a 155 degree angle
Draw an angle of \(155^{\circ}\). Name the vertex Q and tell which scale you used.
Problem 13: Adding two angles
Find the measure of angle AOB.
Problem 14: Adding three angles
Find the measure of angle AOB.
Problem 15: Unknown angle in a square corner
The square corner measures \(90^{\circ}\). Find the measure of the unknown angle x.
Grade 4 Angles Worksheet: problems 16–20
Problem 16: Unknown angle on a straight line
The two angles together make a straight angle of \(180^{\circ}\). Find the measure of x.
Problem 17: Equation with a letter
Write an equation with the letter x for the unknown angle. Then solve it.
Problem 18: Pizza slices
A round pizza is cut into 8 equal slices that meet at the center. Find the measure of the angle at the center of one slice. Then find the measure of the angle for the 3 slices Maya ate.
Problem 19: Angle on a clock
Find the measure of the angle formed by the hands of the clock at 4:00. The 12 numbers are equally spaced.
Problem 20: Swinging gate
Sofia’s gate swings open \(65^{\circ}\). Liam pushes it \(25^{\circ}\) farther. Then the wind swings it back \(30^{\circ}\). Find how many degrees the gate is open now.
Grade 4 Angles Worksheet: problems 21–22
Problem 21: Spinning in place
Jamal spins in place. He turns \(90^{\circ}\), then \(45^{\circ}\) more, then \(135^{\circ}\) more. Find the total number of degrees he turned and the fraction of a full turn.
Problem 22: Find the mistake
Ava read where ray B crosses the scale and wrote \(70^{\circ}\) for the measure of the angle formed by ray A and ray B. Explain her mistake and find the correct measure.
How to use this grade 4 angles worksheet
Print this grade 4 angles worksheet as a PDF, solve every problem on paper, then compare with the answer key.
See every chapter on the Grade 4 math page.