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Number, NAP-D4-CA24

Penny shades in parts of a square to create different patterns.

Which patterns below shades in exactly `2/3` of the square?

 
 
 
 
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`text(The larger square is made up of 9)`

`text(smaller squares.)`

`:.\ 2/3\ text(requires 6 small squares shaded in.)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 9, smc-3175-40-Fractions and shapes, smc-663-40-Fractions and shapes

Number, NAP-D4-CA02

The image below shows a game of noughts and crosses in progress.
 

 
What fraction of the available boxes have been filled in?

`1/2`   `4/7`  `5/7`  `7/9`
 
 
 
 
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`7/9`

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`text(Fraction)` `=\ text(spaces filled)/text(total spaces) `
  `= 7/9`

Filed Under: Fractions, Fractions and Decimals, Fractions and Decimals Tagged With: Band 5, smc-3145-40-Fractions and shapes, smc-3175-40-Fractions and shapes, smc-663-40-Fractions and shapes

Number, NAP-E4-CA09

Which shape has  `3/5`  shaded?
 

 
 
 
 
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`text(In this option:)`

`text(Shaded triangles) / text(Total triangles)`

`=6/10`

`=3/5`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 7, smc-3175-40-Fractions and shapes, smc-663-40-Fractions and shapes

Measurement, NAP-F4-CA32 SA

In this pattern of squares, each smaller square is half the area of the next biggest square.
 

  
What is the area of the grey part of the pattern?

   square centimetres
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`150\ text(cm²)`

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`text{Total area of the largest square}`

`= 40 xx 40`

`= 1600\ text(cm²)`

 

`=>\ text(Area of Square 2) = 800\ text(cm²)`

`=>\ text(Area of Square 3) = 400\ text(cm²)`

`:.\ text(Shaded area)` `= 3/8 xx text(square 3 area)`
  `= 3/8 xx 400`
  `= 150\ text(cm²)`

Filed Under: Fractions and Decimals, Fractions and Decimals, Perimeter, Area and Volume, Perimeter, Area and Volume Tagged With: Band 10, smc-3175-40-Fractions and shapes, smc-3183-30-Area – Composite shapes, smc-663-40-Fractions and shapes, smc-669-30-Area - Composite shapes

Number, NAP-G4-NC19

This shape is made up of 9 squares.
 

 
What fraction of the shape is white?

`1/5` `1/4` `1/3` `1/2`
 
 
 
 
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`1/3`

Show Worked Solution

`text(Dividing the shape into 18 triangles,)`

`text(White triangles)\ = 6/18=1/3`

Filed Under: Fractions, Fractions and Decimals, Fractions and Decimals Tagged With: Band 9, smc-3145-40-Fractions and shapes, smc-3175-40-Fractions and shapes, smc-663-40-Fractions and shapes

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