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Number, NAP-A3-NC12

The actual body length of a beetle Brad has caught is 24 mm.

A scale drawing of the beetle is shown below.
 

 
What scale is used in the drawing?

 
1 cm represents 5 mm
 
1 cm represents 2 mm
 
2 cm represents 1 mm
 
5 cm represents 1 mm
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`text(1 cm represents 2 mm)`

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`text(Scale:)`

`12\ text(cm)` `: 24\ text(mm)`
`120\ text(mm)` `: 24\ text(mm)`
`5` `: 1`

 

`text(In the options given, the ratio of)\ 5 : 1\ text(occurs when)`

`1\ text(cm represents 2 mm)`

Filed Under: Rates, Ratios and Scale, Rates, Ratios and Scale Tagged With: Band 7, smc-3148-37-Scale, smc-902-37-Scale

Number, NAP-B3-CA05

Two places are 5.4 cm apart on a map.

On the map 1 cm represents 4 km.

What is the actual distance between the two places?

`1.08\ text(km)` `10.8\ text(km)` `21.6\ text(km)` `43.4\ text(km)`
 
 
 
 
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`21.6\ text(km)`

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`text(Actual distance)` `=5.4 xx 4`
  `=21.6\ text(km)`

Filed Under: Rates, Ratios and Scale, Rates, Ratios and Scale Tagged With: Band 6, smc-3148-37-Scale, smc-902-37-Scale

Number, NAP-H3-NC19

Guy has a work truck that is 6 meters long.

His son Sam has a toy truck that is 5 cm long.

How many times as long as Sam's toy truck is Guy's truck?

`1` `30` `83` `120` `200`
 
 
 
 
 
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`120`

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`text(Guy’s truck = 6 × 100 = 600 cm)`

`:.\ text(Number of times longer)` `= 600/5`
  `= 120`

Filed Under: Rates, Ratios and Scale, Rates, Ratios and Scale Tagged With: Band 8, smc-3148-37-Scale, smc-902-37-Scale

Number, NAP-H3-CA31

Maria has a square photo with an area of 16 cm².

She enlarges the photo to have an area of 64 cm².

The enlargement multiplied the side lengths of the original photo by a factor of

`text(two.)` `text(three.)` `text(four.)` `text(five.)` `text(six.)`
 
 
 
 
 
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`text(two)`

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`text(Let)\ \ \ s` `=\ text(side length of original photo)`
`s^2` `= 16`
`s` `= 4`

 

`text(Let)\ \ \ S` `=\ text(side length of enlarged photo)`
`S^2` `= 64`
`S` `= 8`

 

`:.\ text(The side lengths have increased from 4 to 8,)`

`text(or by a factor of 2.)`

Filed Under: Rates, Ratios and Scale, Rates, Ratios and Scale Tagged With: Band 10, smc-3148-37-Scale, smc-902-37-Scale

Number, NAP-C3-NC08

This picture shows a stone vase.
 

 
The picture is 2 cm high. The actual vase is 40 cm high.

What scale is used in the picture?

 
`text(2 cm represents 20 cm)`
 
`text(4 cm represents 40 cm)`
 
`text(1 cm represents 2 cm)`
 
`text(1 cm represents 20 cm)`
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`text(1 cm represents 20 cm)`

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`text(Scale:)\ \ 2\ text(cm)\ :\ 40\ text(cm)`

`=>\ text(Divide both sides by 2)`

`text(Scale:)\ \ 1\ text(cm)\ :\ 20\ text(cm)`

Filed Under: Rates, Ratios and Scale, Rates, Ratios and Scale Tagged With: Band 7, smc-3148-37-Scale, smc-902-37-Scale

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