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?
$ 
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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` 
Jazz buys 4 avocados for $1.20 each.
He pays for the avocados with a $5 note.
How much change should Jazz receive?
`$0.20`  `$0.30`  `$3.80`  `$4.80` 




`$0.20`
`text(Change) = 54xx1.20 = $0.20`
Bilbo and Legolas are planning a holiday for 5 days and 4 nights to Mordor.
They expect to spend $62 per person each day on food.
Their total accommodation cost is $183 per night.
They have already saved $250 each towards their holiday.
If they split the remaining cost equally, how much more will Bilbo and Legolas have to save each?
$ 
`$426`
`text(Food cost)`  `= 5 xx (2 xx 62)` 
`= $620` 
`text(Accommodation)`  `= 183 xx 4` 
`= $732` 
`text(Extra savings)`  `= 620 + 732  (2 xx 250)` 
`= $852\ text(total)`  
`= $426\ text(per person)` 
A brand of pasta is sold in two different packets.
What is the difference in the price per kilogram of these two packets?
$1.50  $3.00  $3.60  $7.20 




`$3.00`
`text(Convert to price per kg)`
`text(Packet 1)`
`200\ text(g) = $1.80`
`1\ text(kg) = 5 xx 1.80 = $9`
`text(Packet 2)`
`750\ text(g) = $9`
`100\ text(g) = 9.00 ÷ 7.5 = $1.20`
`1\ text(kg) = 1.20 xx 10 = $12`
`:.\ text(Difference per kg)`
`= 12  9`
`= $3.00`
Harmony makes four tiedye shirts for a total cost of $120.
She sells two of the shirts for $30 each and another for $45.
For what price must she sell the fourth shirt to achieve a profit?

more than $15 

less than $15 

exactly $15 

a profit is not possible 
`text(more than $15)`
`text(C) text(ost) = $120`
`text(Sales) = 2 xx 30 + 45 = $105`
`text(Profit occurs when sales price)\ >\ text(cost)`
`:.\ text(Sales price of 4th shirt must be more than)\ $15`
The entry fees to visit the Toorak Aquarium are $15 for an adult and $7 for a child.
A group of 8 people paid $88 in total to visit the aquarium.
How many adults are in the group?
`2`  `3`  `4`  `5` 




`2`
`text(An entry fee of $88 would consist of:)`
`text(4 adults and 4 children)`
`4 xx 15 + 4 xx 7 = $88`
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(%)` 
Peter is selling tickets for a raffle.
Each ticket costs $1.50.
Peter sells a total of 60 tickets.
How much money does Peter collect for selling the tickets?
$ 
`$90`
`text(Money collected)`  `= 60 xx $1.50` 
`=(60 xx $1) + (60 xx 0.5)`  
`= $90` 
Patrick gets $7.35 in pocket money each week.
He does extra jobs one week and earns $4.75 more.
How much money did Patrick receive in total in the week?
`$11.00`  `$11.10`  `$12.00`  `$12.10` 




`$12.10`
`$7.35 + 4.75 = $12.10`
Emily has 85 cents in 5cent pieces.
How many 5cent pieces does she have?
`17`  `80`  `13`  `425` 




`17`
`85 ÷ 5 = 17\ text(pieces)`
Josh and Elyse own a shed business.
They charge $3350 to build a shed.
They pay 4 workers $42 per hour for 7 hours each to construct the shed.
The materials used for the shed cost $1125.
The remaining money is divided equally between Josh and Elyse.
How much will they each receive?
`$524.50`
`text(Shed sale price = $3350)`
`text(Labour cost)`  `= 4 xx 7 xx 42` 
`= $1176` 
`text(Materials cost = $1125)`
`text(Remaining money)`  `= 3350  (1176 + 1125)` 
`= $1049` 
`:.\ text(Amount each received)`  `= 1049/2` 
`= $524.50` 
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` 
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` 
Sarah bought 4 pears and a $4 bunch of grapes.
The total cost was $10.60.
What would 2 pears and a $2 bunch of grapes cost?
`$7.60`  `$7.30`  `$6.60`  `$5.30` 




`$5.30`
`text(The cost of 2 pears and a $2 bunch of grapes)`
`= 1/2 xx $10.60`
`= $5.30`
Bronwyn receives $1.85 in change at the shop.
She receives only coins.
What is the least number of coins that she could receive?
`3`  `4`  `5`  `6` 




`5`
`text($1.85 in the least number of coins is:)`
`1 xx $1, 1 xx 50text(c), 1 xx 20text(c)`
`1 xx 10text(c), 1 xx 5text(c).`
`:.\ text(Least coins) = 5`
Srinath spends $12 a month on coffee.
After how many months will his total spending on coffee amount to $180?
`text(3 months)`  `text(9 months)`  `text(15 months)`  `text(20 months)` 




`text(15 months)`
`text(Months until $180 spend)`
`= 180/12`
`= 15\ text(months)`
A service station sells bottles of water for $2 each.
It also has a special of 3 bottles for $5.
What is the lowest cost of 8 bottles of water?
`$10.00`  `$12.00`  `$14.00`  `$16.00` 




`$14.00`
`text(Lowest cost of 8 bottles)`
`= 2 xx $5 + 2 xx $2`
`= $14`
Sandy works part time in a shoe shop.
On weekends, she earns 1.5 times as much per hour as she earns on weekdays.
One week, she works 2 hours on a weekday and 2 hours on the weekend.
Her pay for the week was $80.
How much does she earn in 1 hour on a weekday?
`$12.00`  `$16.00`  `$18.00`  `$20.00`  `$20.50` 





`$16.00`
`text(Let)\ \ x = text(pay per hour on a weekday)`
`2x + (2 xx 1.5 x)`  `= 80` 
`2x + 3x`  `= 80` 
`5x`  `= 80` 
`:. x`  `= 80/5` 
`= $16` 
Samuel earns $45 000 per year.
He is paid in equal monthly payments.
How much does he earn in 3 months?
`$3750`  `$4500`  `$11\ 250`  `$15\ 000` 




`$11\ 250`
`:.\ text(Earnings in 3 months)`  `=3/12 xx 45\ 000` 
`=$11\ 250` 
A pet store sells its high growth dog food in four different sizes.
What is the lowest price a customer can pay for 10 kg of high growth dog food?
$ 
`$44.65`
`text(Calculate the cheapest way to purchase 1 kg:)`
`text(Option 1: C)text(ost)\ = $4.60`
`text(Option 2: C)text(ost)\ =9.10/2 = $4.55`
`text(Option 3: C)text(ost)\ = 13.35/3 = $4.45`
`text(Option 4: C)text(ost)\ =22.50/4 = $4.50`
`=>\ text(Cheapest option will be to buy three 3 kg bags)`
`text(and one 1 kg bag.)`
`:.\ text(The lowest price for 10 kg)`
`= 3 xx $13.35 + 1 xx $4.60`
`= $44.65`
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`
Brandon has a money jar that contains 50 cent, 20 cent, 10 cent and 5 cent pieces only.
If he buys a pie worth $2.65, what is the minimum amount of coins he can pay with?
`5`  `7`  `8`  `9`  `11` 





`7`
`text(Minimum number of coins would be:)`
`5 xx 50\ text(c)`
`1 xx 10\ text(c)`
`1 xx 5\ text(c)`
`:.\ text(A minimum of 7 coins is needed.)`
Andy buys a chocolate bar for 95 cents from the shop.
He has 4 coins in his hand and pays the exact amount.
Which coin is not in Andy's hand?
`text(5 cent)`  `text(10 cent)`  `text(20 cent)`  `text(50 cent)` 




`text(10 cent)`
`text(4 coins can only make up 95 cents as follows:)`
`1 xx 50\ text(cent)`
`2 xx 20\ text(cent)`
`1 xx 5\ text(cent)`
`:.\ text(Andy doesn't have a 10 cent.)`
Ten people share in a lottery prize of $5650.
They keep $550 each and give the rest to charity.
How much money in total do they have to give to charity?
`$5100`  `$510`  `$150`  `$15` 




`$150`
`text(Lottery payout to each person)`
`=5650/10`
`=$565`
`:.\ text(Total amount they give to charity)`
`=(565550) xx 10`
`=$150`
Missy has $5.40 and bought a cup of coffee that cost her $4.85.
How much money does she have left?
`$0.55`  `$1.45`  `$1.55`  `$10.25` 




`$0.55`
`$5.40  $4.85 = $0.55`
Health insurance for his family costs Mark $110 per week.
How much does it cost him over 52 weeks?
$ 
`$5720`
`text(One multiplication strategy could be:)`
`52 xx 110`  `=52 xx 100 + 52 xx 10` 
`=5200 + 520`  
`=$5720` 
12 people went to Sea World together in a bus.
Entry into Sea World was $44 per person and the total cost of the bus was $120.
Which expression shows the total cost of the trip for everybody?
`(44 + 120) xx 12`  `44 + 12 + 120`  `(12 xx 44) + 120`  `12 xx 44` 




`(12 xx 44) + 120`
`text(Total cost of entry to Sea World)`
`=12 xx $44`
`text(Total cost of bus)\ = $120\ \ text{(given)}`
`:.\ text(Total cost of the trip for everybody)`
`= (12 xx 44) + 120`
Mike and Georgia saved $120 together.
Georgia saved twice as much money as Mike.
How much money did Georgia save?
`$20`  `$40`  `$80`  `$240` 




`$80`
`text(Let)\ \ x =\ text(Mike's savings)`
`2x + x`  `=120` 
`3x`  `=120` 
`x`  `=40` 
`:.\ text(Georgia saved $80.)`
Albert's mobile plan costs $18 per month for calls only.
His mobile provider offers him a special monthly rate to add 5GB of mobile broadband data to his plan.
The total cost of his mobile plan and the extra broadband data is $372 for 12 months.
What is the extra monthly cost of the broadband data?
$ 
`$13\ text(per month)`
`text(Average monthly cost for both)`
`= 372/12`
`= $31`
`:.\ text(Extra broadband data cost)`
`= 31  18`
`= $13\ text(per month)`
Kate takes part in a swimathon to raise money for charity.
Her grandmother sponsors her $20 in total.
Her uncle sponsors her $1.25 for each lap of the pool she swims.
In order to raise $100, how many laps does Kate need to swim?
`5`  `10`  `64`  `80`  `88` 





`64\ text(laps)`
`text(Let)\ \ x = text(number of laps that Kate need to swim)`
`100`  `= 1.25x + 20` 
`1.25x`  `= 100  20` 
`:. x`  `= 80/1.25` 
`= 64\ text(laps)` 
Camilla has only 10cent, 20cent and 50cent coins in her purse.
She buys a coffee that costs her $3.80 and pays the exact price.
What is the smallest number of coins she could use to pay for her coffee?
`7`  `8`  `9`  `10`  `11` 





`9\ text(coins)`
`text(The minimum number of coins are:)`
`7 xx 50 text(cent)`  `= $3.50` 
`1 xx 20 text(cent)`  `= $0.20` 
`1 xx 10 text(cent)`  `=$0.10` 
`:.\ text(Minimum coins to make $3.80 = 9 coins)`
Penny has $5.
Chocolate bars cost $1.80.
How many chocolate bars can Penny buy?
`2`  `3`  `5`  `9` 




`text(2 chocolate bars)`
`text(Strategy 1)`
`2 xx $1.80`  `= $3.60` 
`3 xx $1.80`  `= $5.40` 
`text(Strategy 2)`
`5/1.80 = 2.77...\ \ text{(round down)}`
`:.\ text(Penny can only buy 2.)`
David spent $82 at the post office.
He bought a souvenir set of stamps for $53.
With the remaining money he bought 10 stamps at $1.70 each and some stamps at 60 cents each.
How many 60cent stamps did David buy?
`20`
`$82  $53 = $29`
`$29  (10 xx 1.70)`  `= 29  17.00` 
`= $12.00` 
`:.\ text(Number of 60cent stamps)`
`= 1200/60`
`= 20`
This table shows the prices of different kinds of nuts sold at a farmers' market.
Which one of these are the most expensive nuts per kilogram?
pecans  cashews  almonds  walnuts 




`text(Cashews)`
`text(Consider each option:)`
`$1.80\ text(for 250 g = 4 × $1.80 = $7.20 per kg)`
`$6.00\ text(for 750 g = $2 per 250 g = $8 per kg)`
`$7.60\ text(for 1 kg)`
`$3.90\ text(for 500 g = 2 × $3.90 = $7.80 per kg)`
`:.\ text(Cashews are the most expensive)`
Nick had a $10 note only.
At the service station, he bought 5 iceblocks that cost $1.20 each.
How much change should he get?
`$4.00`  `$4.50`  `$6.00`  `$8.80` 




`$4.00`
`text(Change)`  `= 10  (5 xx 1.20)` 
`= 10  6`  
`= $4.00` 
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.)`
Nigella needs to buy some olive oil.
The supermarket sells Nigella's favourite oil in a number of different sizes.
Which size costs her the least per mL?

`text(200 mL bottle for $2.50)` 

`text(300 mL bottle for $2.50)` 

`text(500 mL bottle for $4.50)` 

`text(750 mL bottle for $7.50)` 
`text(300 mL bottle for $2.50)`
`text(Calculate the cost per mL for each option:)`
`text(200 mL for $2.50 = 250/200 = 1.25 c/mL)`
`text(300 mL for $2.50 = 0.83 c/mL)`
`text(500 mL for $4.50 = 0.9 c/mL)`
`text(750 mL for $7.50 = 1 c/mL)`
`:. 300\ text(mL bottle for $2.50 costs the least per mL.)`
Olaf's receipt from a Battery World store was torn and part of it was thrown in the rubbish.
He knew:
His credit card statement showed that he spent $83.90 at the Battery World store.
About how much did the hard drive cost?
`$5`  `$17`  `$28`  `$67` 




`$17`
`text(C) text(ost of batteries and USB sticks)`
`~~ 3 xx 9 + 5 xx 8`
`~~ $67\ \ text{(just under)}`
`:.\ text(Hard Drive cost)`  `~~ 83.90  67` 
`~~ $16.9`  
`~~$17` 
A florist uses 17.5 kg of manure on her flower garden each day.
Manure costs $1.22 per kilogram.
How much does the florist pay for manure each day?
$ 
`$21.35`
`text(C) text(ost per day)`  `= 17.5 xx $1.22` 
`= $21.35` 
Tim is selling milkshakes at a school fete.
He makes $48 from selling 8 milkshakes.
All milkshakes cost the same.
How much will Tim make if he sells 11 milkshakes.
`$43`  `$63`  `$66`  `$88` 




`$66`
`text(Price of 1 milkshake)`  `=($48)/8=$6` 
`:.\ text(Price of 11 milkshakes)`  `=11 xx $6` 
`=$66` 
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` 
Veronica is a florist.
She sells red roses for $3.50 each.
If she sells 100 red roses, how much does she make?
`$350`
`100 xx $3.50 = $350`
Lee pays a monthly membership of $36 to have unlimited entry to the local swimming pool.
If she does squad training, she needs to pay an extra $8 per session to the swim coach.
If Lee does `n` squad sessions in a month, which expression represents her monthly bill?
`8n`  `36n`  `36n + 8`  `36 + 8n` 




`36 + 8n`
`text(Monthly membership = $36)`
`text(C)text(ost of)\ n\ text(squad sessions =)\ $8n`
`:.\ text(Total monthly bill)\ = 36 + 8n`
Giselle does odd jobs around the house to earn pocket money.
She gets $3 per job.
The table below shows all the jobs she did in one week.
If Giselle does the same jobs for two weeks, how much money will she earn altogether?
`$12`  `$24`  `$36`  `$72` 




`$72`
`text(Total jobs in 1 week)`
`= 7 + 3 + 2`
`= 12`
`:.\ text(Money earned in 2 weeks)`
`= 2 xx (12 xx 3)`
`= 2 xx 36`
`= $72`
Bernard bought 4 tennis balls for $24.80.
What was the cost of 1 tennis ball.
$ 
`$6.20`
`text(C)text(ost of 1 ball)`  `= 24.80/4` 
`= $6.20` 
A lottery prize of $6366 is shared equally among 12 friends.
How much does each person get in dollars and cents?

dollars and 

cents 
`$530.50`
`text(Cash for each person)`
`=6366/12`
`= $530.50`