Worksheet

Clock Tower Angles: Turns in Degrees

Grade 4 angle practice in a clock tower: see a one-degree angle as 1/360 of a circle and change clock hand and wheel turns into degrees.

Grade 4MathInteractive · Printable

Aligned to4.MD.C.5.a

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
12 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 4
Subject: Math
Question types: Fill in the blank, Multiple choice, Matching, Short answer

About this worksheet

What students practice

Students explain that a one-degree angle turns through 1/360 of a circle.
Students find an angle's measure from the fraction of a circle that a clock hand or wheel turns.
Students find the fraction of a full turn from minutes on a clock and from degrees.

How to use

Review that a full turn is 360° before starting. For the clock problems, let students trace the minute hand's path from the 12 with a finger.

Curriculum

Common Core standard covered

4.MD.C.5.a

Understand an angle as measured against a circle, where a one-degree angle turns 1/360 of the circle.

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Clock Tower Angles: Turns in Degrees

Turn spotlights, clock hands, and bell wheels into degrees.

One Degree at a Time

A spotlight on top of the town clock tower turns in a circle around its center. A full turn around a circle is 360°.

Which angle is a one-degree angle?

A. an angle that turns through 1/100 of a circle
B. an angle that turns through 1/60 of a circle
C. an angle that turns through 1/360 of a circle
D. an angle that turns through 1/90 of a circle

The spotlight turns through 1/360 of a circle every second. It always turns in the same direction.

After 50 seconds, how many degrees has the spotlight turned? degrees
What fraction of the circle has it turned through? Write the fraction with 360 as the denominator.

The spotlight keeps turning through 1/360 of a circle every second. How many seconds does it take the spotlight to make a half turn?

seconds

Minute Hand Turns

The minute hand of the tower clock makes one full turn, 360°, every 60 minutes. Each minute, it turns 1/60 of a full turn.

How many degrees does the minute hand turn in 1 minute?

degrees

At 2:00, the minute hand pointed straight up to the 12. The clock now shows the time below.

What fraction of a full turn has the minute hand made since 2:00?
How many degrees has the minute hand turned? degrees

At 7:00, the minute hand pointed straight up to the 12. The clock now shows the time below.

What fraction of a full turn has the minute hand made since 7:00?
How many degrees has the minute hand turned? degrees

The minute hand turned through a 30° angle. How many minutes went by?

A. 30 minutes
B. 6 minutes
C. 5 minutes
D. 10 minutes

Match each amount of time to the angle the minute hand turns through.

1 minute
10 minutes
20 minutes
45 minutes

A. 120°
B. 6°
C. 270°
D. 60°

Bell Wheel Angles

A big wheel in the tower turns to ring the bell. Each picture shows an angle the wheel turns through, measured around the dashed circle from its center.

The wheel turns through 1/10 of a circle.

How many degrees does the angle marked ? measure? degrees

10.

The wheel turns a quarter turn, 90°. Then it keeps turning in the same direction. In all, it turns through 5/12 of a circle.

How many degrees is the whole turn? degrees
How many degrees does the angle marked ? measure? degrees

11.

The bell rings once each time the wheel finishes another 1/3 of a full turn. Starting from rest, the wheel has turned through the angle shown.

How many degrees is 1/3 of a full turn? degrees
How many times has the bell rung so far? times

12.

Sam drew a quarter turn on a small circle and on a big circle. He says the angle on the big circle measures more degrees because its circle is bigger. Is Sam right? Explain.