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Geometry, NAP-E3-CA30 SA

How many degrees does the hour hand of a clock turn in 60 minutes?

   degrees
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`30`

Show Worked Solution

`text(A clock’s hour hand turns 360° in 12 hours.)`

`:.\ text(In 1 hour, it turns)`

`1/12 xx 360 = 30^@`

Filed Under: Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 9, smc-3165-60-Other problems, smc-679-60-Other problems

Geometry, NAP-E3-CA09

A gymnast does a move where she makes 3 full somersaults and lands back on her feet.

By how many degrees has the gymnast rotated her body in this move?

`270^@` `540^@` `720^@` `1080^@`
 
 
 
 
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`1080^@`

Show Worked Solution

`text(One somersault rotates)\ 360^@.`

`:.3\ text(somersaults)` `= 3 xx 360^@`
  `= 1080^@`

Filed Under: Triangles and Other Geometric Properties Tagged With: Band 6, smc-679-60-Other problems

Geometry, NAP-C3-NC27 SA

Elloise is taking a ride on a ferris wheel.

It takes her 5 minutes to complete a full lap.

What angle does the Ferris wheel turn through in 75 seconds?

  °
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`90`

Show Worked Solution

`text(5 minutes = 300 seconds)`

`:.\ text(Angle turned through)` `=75/300 xx 360°`
  `=1/4 xx 360°`
  `=90°`

Filed Under: Rates, Ratios and Scale, Rates, Ratios and Scale, Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 9, smc-3148-65-Rates and geometry, smc-3165-60-Other problems, smc-679-60-Other problems, smc-902-65-Rates and geometry

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