Sid is selling bike tyre tubes at a market stall.
He makes $54 from selling 6 bike tyre tubes.
All bike tyre tubes cost the same.
How much will Sid make if he sells 11 bike tyre tubes.
`$65` | `$83` | `$99` | `$108` |
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Aussie Maths & Science Teachers: Save your time with SmarterEd
Sid is selling bike tyre tubes at a market stall.
He makes $54 from selling 6 bike tyre tubes.
All bike tyre tubes cost the same.
How much will Sid make if he sells 11 bike tyre tubes.
`$65` | `$83` | `$99` | `$108` |
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`$99`
`text(Price of 1 tube)` | `=54/6=$9` |
`:.\ text(Price of 11 tubes)` | `=11 xx 9` |
`=$99` |
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 |
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`$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`
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` |
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`2`
`text(An entry fee of $88 would consist of:)`
`text(4 adults and 4 children)`
`4 xx 15 + 4 xx 7 = $88`
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` |
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`$5.30`
`text(The cost of 2 pears and a $2 bunch of grapes)`
`= 1/2 xx $10.60`
`= $5.30`
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)` |
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`text(15 months)`
`text(Months until $180 spend)`
`= 180/12`
`= 15\ text(months)`
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` |
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`$300`
`text(Money spent on shopping)`
`= 30text(%) xx 1200`
`=$360`
`:.\ text(Money spent on meals)`
`=1200 – (540+360)`
`=$300`
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` |
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`$150`
`text(Lottery payout to each person)`
`=5650/10`
`=$565`
`:.\ text(Total amount they give to charity)`
`=(565-550) xx 10`
`=$150`
Mike and Georgia saved $120 together.
Georgia saved twice as much money as Mike.
How much money did Georgia save?
`$20` | `$40` | `$80` | `$240` |
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`$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` |
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`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)` |
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` |
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`$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` |
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?
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dollars and |
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cents |
`$530.50`
`text(Cash for each person)`
`=6366/12`
`= $530.50`