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Geometry, NAP-B3-NC32 SA

This clock shows 8 o'clock.
 

 

 
What is the size of the larger angle between the minute and hour hands?

  °
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`240^@`

Show Worked Solution

`text(Angle between any two adjacent numbers)`

`=360/12`

`=30^@`

`:.\ text(Large angle between the minute and hour hand)`

`=8 xx 30`

`=240^@`

Filed Under: Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 10, smc-3189-60-Other problems, smc-680-60-Other problems

Geometry, NAP-C4-NC27

Eloise 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^@`

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`text(5 minutes = 300 seconds)`

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

Filed Under: Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 10, smc-3189-60-Other problems, smc-680-60-Other problems

Geometry, NAP-H4-NC22

Pamela is using a computer graphics program to draw ellipses.

Three of her commands and the resulting shapes are drawn below:
 

`text(ellipse)\ (1,4,0)` `text(ellipse)\ (1,4,90)` `text(ellipse)\ (3,5,45)`

 
 
Which shape would be drawn by the command: `text(ellipse)\ (3,5,60)`?

 
 
 
 
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Show Worked Solution

`text(Short axis = 3)`

`text(Long axis = 5)`

`text{Tilt: long axis at 60° to the vertical}`

`text{(this must be anti-clockwise as the clockwise tilt of}`

  `text{option 3 is only 30°)}`

Filed Under: Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 9, smc-3189-60-Other problems, smc-680-60-Other problems

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