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 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
^\circ

Problem 2: Oven

If Arianna turns the stove dial 135135^\circ to the right, what setting will the dial be on?
Choose 1 answer:
Choose 1 answer:

Problem 3: Directions

Melissa walks 33 blocks south. Then she turns 4545^\circ right (clockwise) and walks 11 block.
What direction does Melissa end up facing?
Choose 1 answer:
Choose 1 answer:

Problem 4: Pizza

A pizza is cut into 66 equal slices.
How many 11^\circ turns does it take to make 11 slice of pizza?
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
turns

Challenge problem: Clock

How many degrees does the hour hand on a clock turn between 7:007{:}00 AM to 10:0010{:}00 AM?
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
^\circ