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Number, NAP-L4-CA27 SA v1

Gary is painting his house over 3 days.

  • He paints `1/3` of the house on the first day.
  • He paints `5/12` of the house on the second day.

In order to finish, what percentage of the house does Gary need to paint on the third day?

     %
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`25 text(%)`

Show Worked Solution
`text(Fraction painted)` `= 1/3 + 5/12`
  `= (4 + 5)/12`
  `= 9/12`
  `=3/4`
  `=75 text(%)`

 
`:. 25 text(% needs to be painted on the third day.)`

Filed Under: Percentages Tagged With: Band 8, smc-3147-30-Word problems, smc-3147-60-Fraction/Decimal conversion

Number, NAP-L3-CA21

Zoey scored 88% on her Geography exam.

If she achieved the same mark on her French exam, which of these could have been her mark?

`68/80` `70/80` `45/50` `40/50` `44/50`
 
 
 
 
 
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`44/50`

Show Worked Solution
`88text(%)` `= 88/100`
  `= 44/50`

Filed Under: Fractions, Fractions, Percentages, Percentages Tagged With: Band 7, smc-3145-50-Decimal/Percentage conversion, smc-3147-60-Fraction/Decimal conversion, smc-662-50-Decimal/Percentage conversion, smc-901-60-Fraction/Decimal conversion

Number, NAP-H3-CA13

Which of the following lists the numbers in increasing order?

 
`text(65%), 0.7, 0.72, 3/4`
 
`3/4, 0.7, text(65%), 0.72`
 
`text(65%), 3/4, 0.7, 0.72`
 
`3/4, 0.72, 0.7, text(65%)`
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`text(65%), 0.7, 0.72, 3/4`

Show Worked Solution

`text(Convert to decimals:)`

`65text(%) = 0.65`

`3/4 = 0.75`
 

`:.\ text(Ascending order is)`

`text(65%), 0.7, 0.72, 3/4`

Filed Under: Decimals, Decimals, Fractions, Fractions, Percentages, Percentages Tagged With: Band 7, smc-2136-70-Fraction/Percentage conversion, smc-3145-50-Decimal/Percentage conversion, smc-3146-70-Fraction/Percentage conversion, smc-3147-60-Fraction/Decimal conversion, smc-662-50-Decimal/Percentage conversion, smc-901-60-Fraction/Decimal conversion

Number, NAP-C3-NC21

Which percentage has the same value as  `32/50`?

`text(64%)` `text(62%)` `text(32%)` `text(16%)`
 
 
  
 
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`text(64%)`

Show Worked Solution

`text(Converting to a percentage:)`

`32/50 = 64/100 = 64text(%)`

Filed Under: Percentages, Percentages Tagged With: Band 8, smc-3147-60-Fraction/Decimal conversion, smc-901-60-Fraction/Decimal conversion

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