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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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(%)` 
What is $15 as a percentage of $60?
`text(6%)`  `text(15%)`  `text(25%)`  `text(60%)` 




`text(25%)`
`text(Percentage)`  `= 15/60 xx 100` 
`= 1/4 xx 100`  
`= 25 text(%)` 
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`
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(%)` 
A circle is divided into 5 equal areas and labelled, as shown in the diagram below.
What percentage of the circle's area has been labelled with an odd number?
`text(3%)`  `text(15%)`  `text(30%)`  `text(40%)`  `text(60%)` 





`text(60%)`
`text(S)text(ince all areas are equal,)`
`text(Percentage labelled with an odd number)`
`=text(odd sections)/text(total sections)`
`=3/5`
`=60text(%)`
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` 
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(%)`