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Number, NAP-L4-CA27 SA

Alan is fertilising his lawn over 2 days.

  • He fertilises `1/4` of the lawn on the morning of the first day.
  • He fertilises `2/5` of the lawn on the afternoon of the first day.

If Alan does no more work on the first day, what percentage of his lawn is fertilised after 1 day?

     %
Show Answers Only

`65 text(%)`

Show Worked Solution
`text(Fraction fertilised)` `= 2/5 + 1/4`
  `= (8 + 5)/20`
  `= 13/20`

 
`:. 65 text(% is fertilised after Day 1.)`

Filed Under: Percentages, Percentages Tagged With: Band 8, smc-3176-30-Word problems – other, smc-893-30-Word problems - other

Number, NAP-K4-NC02

Blart has a device that counts his steps each day.

He aims to complete 10 000 steps each day.

The fraction of steps he has completed toward his target one day is  `6700/(10\ 000).`

What percentage of steps does Blart need to complete to reach his target?

`0.33 text(%)` `0.67 text(%)` `33 text(%)` `67 text(%)`
 
 
 
 
Show Answers Only

`33 text(%)`

Show Worked Solution

`text(Steps completed) = 67000-:10\ 000=0.67`

`:.\ text(Percentage of steps to complete)`

`=1-0.67`

`=0.33`

`=33 text(%)`

Filed Under: Percentages, Percentages Tagged With: Band 8, smc-3176-30-Word problems – other, smc-893-30-Word problems - other

Number, NAP-A4-NC29 SA

On Thursday Banjo read 30% of a book.

On Friday he read half of the remaining pages of the book.

What percentage of the whole book has Banjo read over the two nights, in total?

  %
Show Answers Only

`text(65%)`

Show Worked Solution

`text(Fraction read on Thursday)\ = 3/10`

`text(Fraction read on Friday)`

=`1/2 xx 7/10 = 7/20`

 

`:.\ text(Total read over 2 nights)`

`= 3/10 + 7/20`

`= 6/20 + 7/20`

`= 13/20`

`= 65 text(%)`

Filed Under: Percentages, Percentages Tagged With: Band 10, smc-3176-30-Word problems – other, smc-893-30-Word problems - other

Number, NAP-A4-NC19 SA

Albert has 50 marbles in his bag.

He records the colour of each marble in the table below.
 

 
What percentage of the marbles are white?

  %
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`text(28%)`

Show Worked Solution

`text(Number of white marbles)`

`= 50 – (20 + 12 + 4)`

`= 14`
 

`:. % text(white)` `= 14/50 xx 100`
  `= 28 text(%)`

Filed Under: Percentages, Percentages Tagged With: Band 8, smc-3176-30-Word problems – other, smc-893-30-Word problems - other

Number, NAP-A4-CA14

The population of Australian states in 2015 and 2016 is recorded in the table below.

Some data for Western Australia is not shown.
 

 
What was the population of Western Australia (WA) close to in 2016?

`2\ 773\ 100` `2\ 710\ 500` `2\ 147\ 600` `2\ 091\ 300`
 
 
 
 
Show Answers Only

`2\ 091\ 300`

Show Worked Solution

`text(WA Population in 2016)`

`= 2\ 085\ 021 xx 1.003`

`~~ 2\ 091\ 300`

Filed Under: Percentages, Percentages, Percentages Tagged With: Band 7, smc-3147-25-% increase/decrease, smc-3147-30-Word problems, smc-3176-25-% increase/decrease, smc-3176-30-Word problems – other, smc-893-25-% increase/decrease, smc-893-30-Word problems - other

Number, NAP-B4-NC27

A tennis racquet costs $95.

A tax of 10% is added to the price.

Which calculation will give the new price?

`95 + 10` `95 + 0.1` `95 xx 0.1` `95 xx 1.1`
 
 
 
 
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`95 xx 1.1`

Show Worked Solution
`text(New price)` `=95 + (10text{%} xx 95)`
  `=95 + 0.1 xx 95`
  `=95 xx 1.1`

Filed Under: Financial Maths, Financial Maths, Percentages, Percentages Tagged With: Band 9, smc-3174-70-% increase/decrease, smc-3176-25-% increase/decrease, smc-3176-30-Word problems – other, smc-892-70-% increase/decrease, smc-893-25-% increase/decrease, smc-893-30-Word problems - other

Number, NAP-A4-CA09

There were only 17 students in Grace's class on Wednesday. The other 8 were absent.

What percentage of Grace's class was absent?

`text(8%)` `text(25%)` `text(32%)` `text(33%)`
 
 
 
 
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`32text(%)`

Show Worked Solution
`text(Total in class)` `= 17 + 8`
  `= 25`

 

`:.\ text(Percentage absent)`

`= 8/25 xx 100`

`= 32text(%)`

Filed Under: Percentages, Percentages, Percentages Tagged With: Band 7, smc-3147-10-Calculate %, smc-3147-30-Word problems, smc-3176-30-Word problems – other, smc-893-30-Word problems - other

Number, NAP-B4-NC04 SA

Miley breaks her chocolate bar into 8 identical pieces.

She eats 75% of the pieces.

How many pieces of chocolate are left?

Show Answers Only

`2`

Show Worked Solution
`text(Pieces left)` `= 8 – 75text(%) xx 8`
  `= 8 – 3/4 xx 8`
  `= 8 – 6`
  `= 2`

Filed Under: Percentages, Percentages Tagged With: Band 6, smc-3176-30-Word problems – other, smc-893-30-Word problems - other

Number, NAP-J4-NC01

500 kilograms of a concrete material is made by mixing 200 kilograms of cement with 300 kilograms of sand.

What percentage of the concrete is made up of sand?

 
`text(0.05%)`
 
`text(0.3%)`
 
`text(0.6%)`
 
`text(3%)`
 
`text(30%)`
 
`text(60%)`
Show Answers Only

`text(60%)`

Show Worked Solution
`text(Percentage)` `= 300/500 xx 100`
  `= 3/5 xx 100`
  `= 6 text(0%)`

Filed Under: Percentages, Percentages Tagged With: Band 7, smc-3176-30-Word problems – other, smc-893-30-Word problems - other

Number, NAP-J4-CA26 SA

A locksmith increases the price of replacing a key from $12 to $15.

What is the percentage increase her fee?

 %
Show Answers Only

`text(25%)`

Show Worked Solution

`text(Price increase) = 15 – 12 = $3`

`text(Percentage increase)` `= 3/12`
  `= 0.25`
  `= 25text(%)`

Filed Under: Percentages, Percentages Tagged With: Band 10, smc-3176-25-% increase/decrease, smc-3176-30-Word problems – other, smc-893-25-% increase/decrease, smc-893-30-Word problems - other

Number, NAP-B4-NC17

A local soccer club has 1600 fans.

At a game, one-quarter of the fans wear a yellow jersey and the rest wear red.

25% of the red jerseys have a black stripe down the back.

How many red jerseys have a black stripe?

`100` `240` `300` `1200`
 
 
 
 
Show Answers Only

`300`

Show Worked Solution
`text(Total red jerseys)` `=3/4 xx 1600`
  `=1200`

 

`:.\ text(Red jerseys with black stripe)`
`=0.25 xx 1200`
`=300`

Filed Under: Percentages, Percentages Tagged With: Band 8, smc-3176-30-Word problems – other, smc-893-30-Word problems - other

Number, NAP-C4-NC30 SA

Terry picked some pears from his orchard.

Exactly 45% of the pears picked were not good to eat.

What is the smallest total number of pears that he could have collected?

  pears
Show Answers Only

`20`

Show Worked Solution

`45text(%) = 9/20`

`text(The minimum number of pears that could be)`

`text(collected is the smallest number that can be)`

`text(be multiplied by)\ \ 9/20\ \ text(and equal a whole)`

`text(number.)`

`:.\ text(Smallest number of pears = 20)`

Filed Under: Percentages, Percentages Tagged With: Band 10, smc-3176-30-Word problems – other, smc-893-30-Word problems - other

Number, NAP-E4-CA27 SA

A marine conservationist records the number of eggs laid by 3 turtles and the number of those eggs that hatched.

Her results are recorded in the table below:
 

 
What percentage of the eggs from all 3 turtles hatched?

   % 
Show Answers Only

`text(41%)`

Show Worked Solution

`text(Total turtle eggs hatched)`

`= (25text{%} xx 300) + (75text{%} xx 120) + (50text{%} xx 80)`

`= 75 + 90 + 40`

`=205`

 

`text(Total eggs laid)` `= 300 +120 + 80`
  `= 500`

 

`:.\ text(Percentage of eggs that hatched)`

`= 205/500 xx 100`

`=\ text(41%)`

Filed Under: Percentages, Percentages Tagged With: Band 10, smc-3176-30-Word problems – other, smc-893-30-Word problems - other

Number, NAP-F4-CA24 SA

Richard bought a second hand snowboard at a cost of $390.

Richard had to spend 65% of his savings to buy the snowboard.

How much did Richard have in his savings after buying the snowboard?

$ 
Show Answers Only

`$210`

Show Worked Solution
`65text(%) xx text(Savings)` `= $390`
 `:.\ text(Savings)` `= 390/0.65`
  `= $600`

 

`:.\ text(Savings left)` `= 600 – 390`
  `= $210`

Filed Under: Percentages, Percentages Tagged With: Band 10, smc-3176-30-Word problems – other, smc-893-30-Word problems - other

Number, NAP-F4-CA18

Ryan's tennis racquet is pictured below.
 

 

 
His handle is 19 cm in length.

Which of the following show the length of the handle as a percentage of the total length of the racquet?

`text(11%)` `text(18%)` `text(19%)` `text(33%)`
 
 
 
 
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`text(18%)`

Show Worked Solution

`text(Length of the handle as a percentage)`

`=19/103.4 xx 100`

`=18.4…%`
 

`:.\ text(18% is the closest option.)`

Filed Under: Percentages, Percentages Tagged With: Band 8, smc-3176-30-Word problems – other, smc-893-30-Word problems - other

Number, NAP-G4-CA18

Marty and Paul swam 3 km in an ocean swimming race.

Marty finished in a time of 1 hour and 10 minutes.

Paul took 25% longer than Marty.

Approximately how long did Paul take to finish the race?

`88\ text(minutes)` `95\ text(minutes)` `135\ text(minutes)` `138\ text(minutes)`
 
 
 
 
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`88\ text(minutes)`

Show Worked Solution

`text(Paul’s time)`

`= (1\ text{hour and 10 minutes)} xx text(125%)`

`= 70 xx text(125%)`

`= 87.5\ text(minutes)`
 

`:.\ text(88 minutes is the closest choice.)`

Filed Under: Percentages, Percentages, Percentages, Time, Time Tagged With: Band 8, smc-3147-25-% increase/decrease, smc-3176-25-% increase/decrease, smc-3176-30-Word problems – other, smc-893-25-% increase/decrease, smc-893-30-Word problems - other

Number, NAP-H4-CA23 SA

Harrison was saving his money to buy a cricket bat.

After 1 month, he had saved 45% of the bat's cost.

After 2 months, he had saved another $90 and now had 75% of the bat's cost.

How much does the bat cost?

$   
Show Answers Only

`$300`

Show Worked Solution
`text(75%)\ -\ text(45%)` `= $90`
`text(30%)` `= $90`
`:.\ text(1%)` `= $3`

 

`:.\ text(The bat cost)` `= 100 xx 3`
  `= $300`

Filed Under: Percentages, Percentages Tagged With: Band 9, smc-3176-30-Word problems – other, smc-893-30-Word problems - other

Number, NAP-H4-CA09

A large birdcage contains 8 canaries and 13 parakeets.

About what percentage of the birds are canaries?

`text(8%)` `text(38%)` `text(58%)` `text(62%)`
 
 
 
 
Show Answers Only

`text(38%)`

Show Worked Solution

`8/(8 + 13) = 8/21 = 0.380…`

 

`:.\ text(Approx 38% are canaries.)`

Filed Under: Percentages, Percentages Tagged With: Band 7, smc-3176-30-Word problems – other, smc-893-30-Word problems - other

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