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Number, NAP-L4-NC01

Mike is downloading a complete hard drive onto his new computer.

It should take 24 minutes to download the full hard drive.

Mike loses his internet connection when  `5/6`  of the hard drive is downloaded.

How many more minutes are needed for Mike to complete the download?

`1/6\ text(of a minute)` `text(4 minutes)` `text(20 minute)s` `23 1/6\ text(minutes)`
 
 
 
 
Show Answers Only

`text(4 minutes)`

Show Worked Solution

`5/6 xx 24 =\ text(20 minutes)`

`:.\ text(Minutes needed)` `= 24 – 20`
  `= 4\ text(minutes)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 6, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-L4-CA17

Stephan makes 14 loaves of bread to sell at his bakery.

Each loaf takes  `1/4`  cup of sugar.

After he makes each loaf, he counts how many cups of sugar he uses in total.
 

`1/4, \ 1/2, \ 3/4, \ 1, \ 1 1/4, \ 1 1/2, …`
 

Which is the last number he will count?

`4`    `3 3/4`    `3 1/2`    `3 1/4`
 
 
 
 
Show Answers Only

`3 1/2`

Show Worked Solution
`text(Last number)` `= 14/4`
  `= 3 1/2`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 8, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-K4-NC03 SA

In Patrick's school, `3/7` of the students live within 5 kilometres .

There are 742 students at Patrick's school.

How many students live within 5 kilometres?

 
Show Answers Only

`318`

Show Worked Solution

`text(Students who live within 5 km)`

`= 3/7 xx 742`

`= 3 xx 742/7`

`= 3 xx 106`

`= 318`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 9, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-K4-CA20

Polly, Roger and Milly are splitting up two identical chocolate bars.

Polly takes `1/4` of the first chocolate bar and `3/8` of the second bar.

Roger takes `1/2` of the first chocolate bar and `1/4` of the second bar.

What fraction of each bar did Milly get?

 
Milly got `1/4` of each chocolate bar.
 
Milly got `1/8` of the first bar and `1/4` of the second bar.
 
Milly got `1/4` of the first bar and `3/8` of the second bar.
 
Milly got `1/8` of the first bar and `3/8` of the second bar.
Show Answers Only

`text(Milly got)\ 1/4\ text(of the first bar and)\ 3/8\ text(of the second bar.)`

Show Worked Solution

`text(1st bar:)\ 1 – (1/4 + 1/2) = 1/4`

`text(2nd bar:)\ 1 – (3/8 + 1/4) = 3/8`
 

`:.\ text(Milly got)\ 1/4\ text(of the first bar and)\ 3/8\ text(of the second bar.)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 8, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-B4-CA09

A bag of flour weighs `3/4` of a kilogram.

Peter buys two bags.

How many kilograms of flour does Peter buy?

`6/8` `4/3` `1 1/4` `1 1/2`
 
 
 
 
Show Answers Only

`1 1/2`

Show Worked Solution

`text(Weight of two bags)`

`= 2 xx 3/4`

`= 6/4`

`= 1 1/2\ text(kilograms)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 6, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-J4-NC07 SA

A wildlife sanctuary has 240 Tasmanian devils.

Of the 240 devils, `3/8` of them weigh more than 6 kilograms.

Of the devils that weigh more than 6 kilograms, `1/3` weigh more than 7 kilograms.

How many devils in the sanctuary weigh more than 7 kilograms.

Show Answers Only

`30`

Show Worked Solution

`text(Number of devils) > 6\ text(kilograms)`

`= 3/8 xx 240`

`= 90`

 

`text(Number of devils) > 7\ text(kilograms)`

`= 1/3 xx 90`

`= 30`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 10, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-J4-CA05

Megan has  `1/8`  cup of sugar.

She needs  `1 1/2`  cups of sugar for a cake recipe she is using.

How much more sugar does Megan need for the recipe?

`1 1/8\ text(cups)` `1 1/4\ text(cups)` `1 3/8\ text(cups)` `1 5/8\ text(cups)`
 
 
 
 
Show Answers Only

`1 3/8\ text(cups)`

Show Worked Solution
`text(Sugar needed)` `= 1 1/2 – 1/8`
  `= 1 3/8\ text(cups)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 7, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-B4-NC14

Murray has 36 red plums and 18 purple plums.

What fraction of the plums are red?

`1/36` `1/3` `1/2` `2/3`
 
 
 
 
Show Answers Only

`2/3`

Show Worked Solution
`text(Fraction of red plums)` `=text(red plums) / text(total plums)`
  `=36/(36+18)`
  `=36/54`
  `=2/3`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 7, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-D4-CA18 SA

A coffee jar weighs 2400 grams when it is purchased.
 

 
When exactly half of the coffee has been used, the half full jar has a mass of 1750 grams.

What is the mass of the coffee jar when all the coffee has been used?

   grams
Show Answers Only

`1100\ text(grams)`

Show Worked Solution

`text(Mass of half the coffee)`

`= 2400 – 1750`

`= 650\ text(grams)`
 

`=>\ text(Mass of coffee) = 650 xx 2 = 1300\ text(grams)`
 

`:.\ text(Mass of jar)` `= 2400 – 1300`
  `= 1100\ text(grams)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 8, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-C4-NC29 SA

The height of a garage is 270 cm.

Barry has a car that is  `5/9`  of the height of the garage.

What is the height of Barry's car?

  cm
Show Answers Only

`text(150 cm)`

Show Worked Solution

`text(Height of Barry’s car)`

`=5/9 xx 270`

`=(5 xx 270)/9`

`=5 xx 30`

`=150\ text(cm)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 9, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-C4-NC09

A walking path near the beach is paved for half the length, cobbled stone for `3/10` of the length and then grass for the rest of the path.

For what fraction of the path is it grass?

`1/5` `3/10` `3/5` `8/10`
 
 
 
 
Show Answers Only

`1/5`

Show Worked Solution

`text(Percentage of the path that is grass)`

`=1-(1/2 + 3/10)`

`=1-8/10`

`=1/5`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 7, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-E4-CA17

Ali has a bag of marbles. The marbles are either blue, black or orange.

`1/6`  of her marbles are blue and  `1/4`  are black.

What fraction of her marbles are orange?

`2/3` `5/12` `3/10` `7/12` `7/10`
 
 
 
 
 
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`7/12`

Show Worked Solution

`text(Orange marbles)`

`= 1 – (1/6 + 1/4)`

`= 1 – 5/12`

`= 7/12`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 9, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-E4-NC27 SA

Damon bought 2 identical bags of salt for his swimming pool.

After he used  `2/3`  of one bag in the pool, he had a total of 20 kilograms of salt left.

How many kilograms of salt were in one full bag?

  kilograms
Show Answers Only

`15\ text(kg)`

Show Worked Solution

`text(Let)\ \ S=\ text(weight of 1 bag of salt)`

`1/3S + S` `= 20`
`4/3 S` `= 20`
`:. S` `= (3 xx 20)/4`
  `= 15\ text(kg)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 10, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-E4-NC03

Bogdan grows large turnips in his garden.

One turnip he picks weighs 1.2 kg.

Bogdan cuts 300 grams off the turnip to cook with.

What fraction has he used for cooking?

`1/2` `1/3` `1/4` `1/5`
 
 
 
 
Show Answers Only

`1/4`

Show Worked Solution
`text(Fraction)` `=300/1200`
  `=1/4`

 

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 6, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-F4-NC01

A swim squad normally do 60 laps per training session.

On a light training day, they only do two thirds of the laps of a normal session.

How many laps do they do in a light session?

`20` `35` `40` `45` `50`
 
 
 
 
 
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`40`

Show Worked Solution

`2/3 xx 60 = 40`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 7, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-G4-NC29 SA

Candy has read  `3/16`  of her new book.

If her new book has 400 pages, how many pages has she read?

Show Answers Only

`text(75 pages)`

Show Worked Solution
`1/4` `= 100\ text(pages)`
`1/8` `= 50\ text(pages)`
`1/16` `= 25\ text(pages)`

 

`:. 3/16 = 75\ text(pages.)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 10, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-G4-CA20 SA

The table below gives the lengths of two similar fleas.
 


 

One inch equals 25.4 millimetres.

What is the difference in millimetres between the length of a Cat Flea and a Pulex Flea?

Give your answer to three decimal places.

millimetres
Show Answers Only

 `0.825\ text(mm)`

Show Worked Solution

`1/8 xx 25.4 = 3.175`

`4 – 3.175 = 0.825\ text(mm)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 9, smc-3175-30-Fractions – Word problems, smc-3175-70-Decimals – Word problems, smc-663-30-Fractions - Word problems, smc-663-70-Decimals - Word problems

Number, NAP-I4-NC25

Kate has read  `3/8`  of the first Harry Potter novel.

Which decimal shows how much of the book Kate has read?

`0.240` `0.320` `0.375` `0.425` `0.625`
 
 
 
 
 
Show Answers Only

`0.375`

Show Worked Solution
`1/8` `=0.125`
`3/8` `=3 xx 0.125`
  `= 0.375`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 9, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-I4-NC23

Scarlett has 8 cups of sugar. A muffin recipe uses  `2/3`  of a cup of sugar for each muffin.

What is the greatest number of muffins Scarlett can make?

`5` `6` `8` `12` `14`
 
 
 
 
 
Show Answers Only

`12`

Show Worked Solution

`text(Greatest number of muffins)`

`= 8 ÷ 2/3`

`=8 xx 3/2`

`= 12`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 9, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-H4-CA13

Alison's petrol tank was empty.

She then spent $55 filling her tank up to half way at a cost of $1.55 per litre.

Approximately how much petrol can Alison's petrol tank hold when it is full?

`35\ text(litres)` `65\ text(litres)` `71\ text(litres)` `85\ text(litres)`
 
 
 
 
Show Answers Only

`71\ text(litres)`

Show Worked Solution
`text(Volume of half tank)` `= 55/1.55`
  `= 35.48…`

 

`:.\ text(Volume of full tank)`

`= 2 xx 35.48…`

`= 70.96…`

`= 71\ text(litres)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 8, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-I4-CA07

Luke had `6` cups of sugar.

He used `1/2` cup of sugar for one recipe and `2 1/4` cups of sugar for another recipe.

How many cups of sugar did Luke have left?

 
`2 1/4`
 
`3 1/4`
 
`3 1/2`
 
`4 3/4`
Show Answers Only

`3 1/4`

Show Worked Solution

`text(Cups used) = 1/2 + 2 1/4=2 3/4`

`text(Cups left) = 6 – 2 3/4 = 3 1/4`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 7, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

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