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Angles in circles word problems

Practice word problems that involve thinking about angles as part of a circle.

Problem 1: Caterpillar

A caterpillar stands on her head.
How many degrees does the caterpillar need to turn to be upright?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

Problem 2: Oven

If Arianna turns the stove dial 135 to the right, what setting will the dial be on?
Choose 1 answer:

Problem 3: Directions

Melissa walks 3 blocks south. Then she turns 45 right (clockwise) and walks 1 block.
What direction does Melissa end up facing?
Choose 1 answer:

Problem 4: Pizza

A pizza is cut into 6 equal slices.
How many 1 turns does it take to make 1 slice of pizza?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
turns

Challenge problem: Clock

How many degrees does the hour hand on a clock turn between 7:00 AM to 10:00 AM?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

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