This grade 4 angles test checks measuring and adding angles in 45 minutes, with 9 questions for a total of 20 points.
This test covers standards 4.MD.C.5, 4.MD.C.6, and 4.MD.C.7. You need a protractor and a pencil. The 9 questions are worth 20 points in all. Show your work for every question that asks for an equation. Allow 45 minutes.
- Grade: Grade 4
- Chapter: Measuring and Adding Angles
- Common Core: 4.MD.C.5, 4.MD.C.6, 4.MD.C.7
- Time: 45 minutes
- Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 2 pts; Question 5: 3 pts; Question 6: 2 pts; Question 7: 3 pts; Question 8: 2 pts; Question 9: 2 pts)
Grade 4 Angles Test: questions 1–5
Question 1: Turns and degrees (2 points)
Use the circle.
- Write the number of degrees in a half turn. (1 point)
- Write the fraction of a circle that an angle of \(90^{\circ}\) turns through. (1 point)
Question 2: One-degree angles (2 points)
- An angle opens through 110 one-degree angles. Write its measure. (1 point)
- An angle measures \(60^{\circ}\). Write the number of one-degree angles that make it. (1 point)
Question 3: Reading a protractor (2 points)
Use the protractor. Ray A lies on the 0 mark.
- Find the measure of the angle formed by rays A and C. (1 point)
- Find the measure of the angle formed by rays A and B. (1 point)
Question 4: Rays not on zero (2 points)
Find the measure of the angle formed by rays P and Q. Show how you found it.
Question 5: Draw an angle (3 points)
Use a protractor to draw an angle of \(70^{\circ}\) with the vertex at the dot and the ray shown as one side.
- Draw the angle. (2 points)
- Label the angle with its measure. (1 point)
Grade 4 Angles Test: questions 6–9
Question 6: Adding angle measures (2 points)
Ray OD splits angle AOB into two angles. Find the measure of angle AOB.
- Write an equation. (1 point)
- Solve it. (1 point)
Question 7: Unknown angles (3 points)
Find the measure of each unknown angle.
- The square corner measures \(90^{\circ}\). Find x. (1 point)
- The angles on the straight line add up to \(180^{\circ}\). Write an equation and find y. (2 points)
Question 8: Equation with a letter (2 points)
Angle ABC measures \(142^{\circ}\). Ray BD splits it into angle ABD, which measures \(87^{\circ}\), and angle DBC. Write an equation with a letter for the measure of angle DBC and solve it.
Question 9: Angle on a clock (2 points)
The 12 numbers on a clock are equally spaced. Use the clock showing 5:00.
- Find the measure of the angle formed by the hands. (1 point)
- Find how many degrees greater it is than a quarter turn. (1 point)
How to use this grade 4 angles test
Take this grade 4 angles test without notes, then grade it with the test answer key out of 20 points.
See every chapter on the Grade 4 math page.




















