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Solving Problems, SM-Bank 002 MC

A clock displayed the time ten o'clock, as shown on the diagram below.
 

The angle, `x^{\circ}`, between the small hand and the large hand is

  1.  `30°`
  2.  `36°`
  3.  `52°`
  4.  `60°`
Show Answers Only

`D`

Show Worked Solution

`text{There are 360° about a point.}`

`x^{\circ}=2/12 xx 360 = 60^{\circ}`

`=> D`

Filed Under: Solving Problems Tagged With: num-title-ct-core, smc-4926-60-Angles about a point, smc-4926-75-Applications

Solving Problems, SM-Bank 005

A clock displayed the time four o'clock, as shown on the diagram below.
 

Calculate the angle, `x^{\circ}`, between the small hand and the large hand.   (2 marks)

--- 3 WORK AREA LINES (style=lined) ---

Show Answers Only

`120^{\circ}`

Show Worked Solution

`text{There are 360° about a point.}`

`x^{\circ}=1/3 xx 360 = 120^{\circ}`

Filed Under: Solving Problems Tagged With: num-title-ct-core, smc-4926-60-Angles about a point, smc-4926-75-Applications

Solving Problems, SM-Bank 001 MC

A clock displayed the time one o'clock, as shown on the diagram below.
 

The angle, `theta`, between the small hand and the large hand is

  1.   `5°`
  2. `12°`
  3. `30°`
  4. `36°`
Show Answers Only

`C`

Show Worked Solution

`text{There are 360° about a point.}`

`:. theta` `= 360/12`
  `= 30^@`

 
`=> C`

Filed Under: Solving Problems Tagged With: num-title-ct-core, smc-4926-60-Angles about a point, smc-4926-75-Applications

Solving Problems, SM-Bank 006

How many degrees does the minute hand of a clock turn in 35 minutes?   (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

Show Answers Only

`210°`

Show Worked Solution

`text(A clock’s minute hand turns 360° in 60 minutes.)`

`:.\ text(In 35 minutes, it turns through:)`

`35/60 xx 360 = 210^@`

Filed Under: Solving Problems Tagged With: num-title-ct-core, smc-4926-60-Angles about a point, smc-4926-75-Applications

Solving Problems, SM-Bank 004

How many degrees does the hour hand of a clock turn in 60 minutes?   (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

Show Answers Only

`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: Solving Problems Tagged With: num-title-ct-core, smc-4926-60-Angles about a point, smc-4926-75-Applications

Solving Problems, SM-Bank 001

Two boats leave from Fremantle. One sails to the Wharf at Rottnest Island and the other sails to Cervantes.

The direction each boat sailed is shown in the map below.
 

Determine the value of `x°` on the map.   (2 marks)

--- 6 WORK AREA LINES (style=lined) ---

Show Answers Only

`50°`

Show Worked Solution

`text(Alternate angles are equal)`

`60` `= x + 10` 
`:.x` `= 50^@` 

Filed Under: Solving Problems Tagged With: num-title-ct-core, smc-4926-15-Alternate, smc-4926-75-Applications

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