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?
% 
Aussie Maths Teachers: Save your time with SmarterMaths
Gary is painting his house over 3 days.
In order to finish, what percentage of the house does Gary need to paint on the third day?
% 
`25 text(%)`
`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.)`
A lost and found box contains 5 shirts, 12 caps and 4 pairs of shorts.
About what percentage of the items in the lost and found box are shirts?
`5text(%)`  `18text(%)`  `24text(%)`  `75text(%)` 




`24text(%)`
`text(Percentage of shirts)`
`=5/(5 + 12+4)`
`=5/21`
`=24text{% (nearest %)}`
Max wanted to buy a squash racquet that cost $75.
He has saved $60.
How much extra does he need to save as a percentage of the cost price.
`text(7.5%)`  `text(20%)`  `text(25%)`  `text(75%)` 




`text(20%)`
`text(Percentage)`  `= 15/75 xx 100` 
`= 1/5 xx 100`  
`= 20 text(%)` 
Santana is buying a guitar string.
Some of the strings are on sale.
Select the string that will be cheapest.




`text(Sale: take 20% off)`
`text(C)text(ost of each option:)`
`$17`
`$35\ text(less 50%) = $17.50`
`text($20 less 20%) = 20  4 = $16`
`text($24 less 25%) = 24  6 = $18`
`:.\ text(Sale: take 20% off is the cheapest string.)`
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` 





`44/50`
`88text(%)`  `= 88/100` 
`= 44/50` 
Michael purchases a 3D printer worth $2 490 000.
He was given a 10% discount.
What was the price paid by Michael after the discount?
$ 
`$2\ 241\ 000`
`text(Discount)`  `= 10text(%) xx 2\ 490\ 000` 
`= 249\ 000` 
`:.\ text(Price)`  `= 2\ 490\ 000  249\ 000` 
`= $2\ 241\ 000` 
Mary has 60 books and splits them into four categories.
This table shows the percentage of each category.
How many sport books does Mary have?
`2`  `18`  `20`  `30` 




`18`
`text(30% of 60 books are sport books.)`
`:.\ text(Number of sport books)`  `= 30text(%) xx 60` 
`= 18\ text(books)` 
A hockey stick is on sale, reduced from $220 to $165.
What percentage discount has been applied?
`text(25%)`  `text(33%)`  `text(45%)`  `text(55%)` 




`text(25%)`
`text(Discount)`  `= text(reduction)/text(original price) xx 100` 
`= ((220  165))/220 xx 100`  
`= 25text(%)` 
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` 




`2\ 091\ 300`
`text(WA Population in 2016)`
`= 2\ 085\ 021 xx 1.003`
`~~ 2\ 091\ 300`
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%)` 




`32text(%)`
`text(Total in class)`  `= 17 + 8` 
`= 25` 
`:.\ text(Percentage absent)`
`= 8/25 xx 100`
`= 32text(%)`
A class of 28 students is surveyed. 21 students said they owned a mobile phone.
What percentage of the students surveyed owned a mobile phone?
% 
`75text(%)`
`text(Percentage)`  `= 21/28 xx 100` 
`= 75text(%)` 
Don buys a cricket ball, originally marked $30, that is discounted by 25%.
He also has a loyalty card that gives him another 20% off the sale price.
What is the final cost of the ball?
$ 
`$18`
`text(Solution 1)`
`text(Sale price)`  `= 30  (25text(%) xx 30)` 
`=30  7.50`  
`= $22.50` 
`:.\ text(Final cost)`  `= 22.50  (20text(%) xx 22.50)` 
`= $18` 
`text{Solution 2 (advanced)}`
`text(Final cost)`  `= 30 xx 0.75 xx 0.8 ` 
`= $18` 
A scholarship fund of $1 000 000 is allocated between three scholarships as shown in the table below.
150 students were given a Hardship Scholarship.
How much did each Hardship Scholarship winner get?
$ 
`$2000`
`text(Hardship Scholarship Funds)`
`= 30text(%) xx 1\ 000\ 000`
`= $300\ 000`
`:.\ text(Amount each winner received)`
`= (300\ 000)/150`
`= $2000`
Jake bought a mobile phone at 25% off the original price.
The original price was $380.
How much did Jake pay for the mobile phone?
`$95`  `$285`  `$342`  `$355` 




`$285`
`text(Price of mobile)`  `=380  (text(25%) xx 380)` 
`=380  95`  
`=$285` 
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?
$ 
`$210`
`65text(%) xx text(Savings)`  `= $390` 
`:.\ text(Savings)`  `= 390/0.65` 
`= $600` 
`:.\ text(Savings left)`  `= 600  390` 
`= $210` 
A local soccer club has 1600 fans.
At a game, onequarter 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?
`250`  `300`  `400`  `1200` 




`300`
`text(Total red jerseys)`  `=3/4 xx 1600` 
`=1200` 
`:.\ text(Red jerseys with black stripe)` 
`=0.25 xx 1200` 
`=300` 
Hoon's camera has a memory card that holds 20 gigabytes.
He has used exactly 16 gigabytes of memory.
What percentage of the memory has not been used?
`text(4%)`  `text(20%)`  `text(25%)`  `text(40%)`  `text(75%)` 





`text(20%)`
`text(Memory left)`  `= 20  16` 
`= 4\ text(GB)` 
`:.\ text(Percentage not used)`
`= 4/20`
`= 20text(%)`
`$7.50`
`text(Price of tent 1)`  `= 85  30text(%) xx 85 ` 
`= 85  25.5`  
`= $59.50`  
`text(Price of tent 2)`  `= 80  35text(%) xx 80` 
`= 80  28.0`  
`= $52.00` 
`:.\ text(Price difference)`  `= 59.5  52` 
`= $7.50` 
In a water polo season, Vladimir had 330 shots at goal.
He scored 170 goals but missed the rest.
Vladimir's success rate of scoring goals was?

less than 25% 

more than 25% but less than 50% 

more than 50% but less than 75% 

more than 75% 
`text(more than 50% but less than 75%)`
`text(Success rate)`  `=170/330` 
`=0.515...`  
`=52text(%)` 
`:.\ text(His succes rate is more than 50% but less than 75%.)`
Kat went on holiday and spent her money on accomodation, meals and shopping.
She spent $1200 in total and the pie chart below shows how she spent it.
How much money did Kat spend on meals on her holiday?
`$260`  `$360`  `$300`  `$540` 




`$300`
`text(Money spent on shopping)`
`= 30text(%) xx 1200`
`=$360`
`:.\ text(Money spent on meals)`
`=1200  (540+360)`
`=$300`
The shaded area on this graph shows how much of a computer file has loaded.
What percentage of the file has loaded?
`text(65%)`  `text(70%)`  `text(75%)`  `text(80%)` 




`text(75%)`
`text(Total number of bars) = 20`
`text(Number of black bars) = 15`
`:.\ text(Percentage loaded)`  `= 15/20` 
`=0.75`  
`=75text(%)` 
Walker is doing an intensive swim program over the summer holidays.
In his first session, he swims 50 laps.
In his second session, he swims 30% more laps than his first session.
In his third session, he swims 20% more laps than his second session.
How many laps does he swim at his third practice?
`78\ text(laps)`
`text(1st session) = 50\ text(laps)`
`text(2nd session)`  `= 50 + (30text(%) xx 50)` 
`= 50 + 15`  
`= 65\ text(laps)` 
`text(3rd session)`  `= 65 + (20text(%) xx 65)` 
`= 65 + 13`  
`= 78\ text(laps)` 
Ricky wants to buy a cricket bat that has a normal price of $160.
He is given a 10% discount.
What is the value of the discount?
`$1.60`  `$10`  `$16`  `$150` 




`$16`
`text(Value of the discount)`
`= 10 text(%) xx 160`
`=$16`
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?
$ 
`$300`
`text(75%)\ \ text(45%)`  `= $90` 
`text(30%)`  `= $90` 
`:. 1text(%)`  `= $3` 
`:.\ text(The bat cost)`  `= 100 xx 3` 
`= $300` 
The table below lists the original price and the amount of discount of a pair of jeans at four different shops.
Which shop has the lowest sale price for the jeans?
`text(A)`  `text(B)`  `text(C)`  `text(D)` 




`text(Shop B)`
`text(Consider the sale price at each shop:)`
`text(A)`  `= 20  (25text{%} xx 20) = $15` 
`text(B)`  `= 21  (1/3 xx 21) = $14` 
`text(C)`  `= 18  (20 text{%} xx 18) = $14.40` 
`text(D)`  `= 17  2 = $15` 
`:.\ text(Shop B has the lowest sale price.)`
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%)` 
`text(65%), 0.7, 0.72, 3/4`
`text(Convert to decimals:)`
`65text(%) = 0.65`
`3/4 = 0.75`
`:.\ text(Ascending order is)`
`text(65%), 0.7, 0.72, 3/4`
A candy box contains 6 white chocolate bars and 11 dark chocolate bars.
About what percentage of the candy in the box are white chocolate bars?
`6text(%)`  `35text(%)`  `58text(%)`  `65text(%)` 




`35text(%)`
`text(Percentage of white chocolate bars)`
`=6/17`
`=35text{% (nearest %)}``
A box of golf balls normally cost $19.50.
During a sale, the golf shop took 10% off the regular price of the balls.
What is the new sale price of the golf balls?
$ 
`$17.55`
`text(10% discount)`  `= 19.50/10` 
`= $1.95` 
`:.\ text(Sale price)`  `= $19.50  $1.95` 
`= $17.55` 
Which percentage has the same value as `32/50`?
`text(64%)`  `text(62%)`  `text(32%)`  `text(16%)` 




`text(64%)`
`text(Converting to a percentage:)`
`32/50 = 64/100 = 64text(%)`
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)` 




`88\ text(minutes)`
`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.)`