Aussie Maths & Science Teachers: Save your time with SmarterEd
Mike is downloading a complete hard drive onto his new computer.
It should take 24 minutes to download the full hard drive.
Mike loses his internet connection when `5/6` of the hard drive is downloaded.
How many more minutes are needed for Mike to complete the download?
| `1/6\ text(of a minute)` | `text(4 minutes)` | `text(20 minute)s` | `23 1/6\ text(minutes)` |
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Pat, Mitch and Josh entered a long distance relay as a team.
They divided the total distance into 20 equal sections.
Pat ran `9/20` of the total distance.
Mitch ran `3/20` more of the total distance than Josh.
What fraction of the total distance did Josh ran?
| `4/20` | `7/20` | `8/20` | `17/20` |
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Stephan makes 14 loaves of bread to sell at his bakery.
Each loaf takes `1/4` cup of sugar.
After he makes each loaf, he counts how many cups of sugar he uses in total.
`1/4, \ 1/2, \ 3/4, \ 1, \ 1 1/4, \ 1 1/2, …`
Which is the last number he will count?
| `4` | `3 3/4` | `3 1/2` | `3 1/4` |
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Data was gathered on the country of origin of cowboys competing in a rodeo in Australia.
The data showed that in one particular year:
Select the correct statement about the cowboys competing in the rodeo in that year.
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More cowboys came from the USA than from Canada. |
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More cowboys came from Canada than from the USA. |
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The number of cowboys from Canada and the USA was the same. |
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It is not possible to tell whether more cowboys came from Canada than the USA. |
The table shows the fractions of the Australian workforce in some industries.
Which of these industries has the least number of employees in the workforce?
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Automotive |
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Finance |
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Health Care |
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Telecommunications |
Hawthorne buys 35 bags of cement for a job.
He uses `5/7` of the bags.
How many bags of cement does Hawthorne have left?
Lance is competing in a cycling event.
On Stage 1, he had to cycle 90 kilometres.
On Stage 2, he had to cycle three times as far as Stage 1.
On Stage 3, he had to cycle one quarter as far as Stage 2.
Which expression could Lance use to work out the number of kilometres he needed to cycle for Stage 3.
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`90 ÷ 3 xx 1/4` |
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`90 xx 3 xx 1/4` |
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`90 ÷ 3 ÷ 1/4` |
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`90 xx 3 ÷ 1/4` |
A garden centre sells a potting mix made up of soil, manure and sand.
Soil makes up `3/4` of the mix and manure makes up `1/6` of the mix.
What fraction of the potting mix is sand?
| `1/12` | `4/10` | `5/12` | `3/7` |
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David paid $9.00 for sausages advertised at the price below.
How many grams of sausages did he buy?
| `text(0.75 g)` | `text(75 g)` | `text(750 g)` | `text(900 g)` |
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A school library has 130 books lent out.
60 of the books on loan are overdue.
The fraction of books on loan that are overdue is closest to
| `text(one-thirteenth)` | `text(one-sixth)` | `text(one-quarter)` | `text(one-half)` |
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One-fifth of the number of marbles Digby owns is 40.
How many marbles does Digby own?
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Megan has `1/8` cup of sugar.
She needs `1 1/2` cups of sugar for a cake recipe she is using.
How much more sugar does Megan need for the recipe?
| `1 1/8\ text(cups)` | `1 1/4\ text(cups)` | `1 3/8\ text(cups)` | `1 5/8\ text(cups)` |
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There are 48 Year 7 students at a high school.
Each student is asked if they own a bike or not and the results are recorded.
`3/4` of the students said they owned a bike.
How many Year 7 students at the school own a bike?
This plan shows 3 fenced paddocks.
Their areas are measured in hectares.
1 hectare = 2.47 acres.
The total area of the 3 paddocks in acres is closest to
| `2.73` | `6.75` | `16.67` | `16.77` |
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A bowl has 16 pieces of fruit in it.
12 of the pieces of fruit are oranges.
What fraction of the pieces of fruit are oranges?
| `16/12` | `4/3` | `3/4` | `2/3` |
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Benjamin bought two identical wooden beams from the hardware store.
He cut one beam in half and the other beam into thirds, as shown.
The longer piece of the cut wood is 20 cm longer than the short piece.
What is the length of the short piece of wood?
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Damon bought 2 identical bags of salt for his swimming pool.
After he used `2/3` of one bag in the pool, he had a total of 20 kilograms of salt left.
How many kilograms of salt were in one full bag?
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Murray has 36 red plums and 18 purple plums.
What fraction of the plums are red?
| `1/36` | `1/3` | `1/2` | `2/3` |
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Nel grows 2 types of lettuces, iceberg and butter lettuce.
One week she took 900 lettuces to market.
Two thirds were iceberg and the rest were butter lettuces.
One quarter of the iceberg lettuces didn't sell.
How many iceberg lettuces didn't sell?
Last year 4236 people visited a national park.
The number of people who visited the park this year was `2/3` of last year's figure.
How many people went to the park this year?
| `1412` | `2412` | `2824` | `6354` |
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Freddie watches television for 5 hours each day.
What fraction of the day is Freddie not watching television?
| `5/17` | `19/5` | `19/24` | `24/19` |
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A soccer match attracted a crowd of 17 221 people.
One third of the people at the match supported the away team.
Which of these is the closest to the number of people at the match who supported the away team?
| `500` | `600` | `5000` | `6000` |
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Patrick poured one quarter of a litre of milk into his glass.
How many millilitres did Patrick pour into his glass?
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`25` |
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`250` |
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`750` |
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`4000` |
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`5000` |
Ali had a bag of different coloured marbles.
`1/6` of the marbles were blue and `1/4` of the marbles were yellow.
Her bag contained 4 more yelllow marbles than blue.
How many marbles were in Ali's bag?
| `16` | `20` | `24` | `48` |
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The baseball game had a crowd of 3000 fans.
Two thirds of the fans wore a cap.
How many fans did not wear a cap?
Peter had 5 cups of flour to use for baking 2 loaves of bread.
He used `1 1/8` cups for the first loaf, and `2 1/8` cups for the second loaf.
How many cups of flour did Peter have left?
| `1 3/4` | `1 1/2` | `2 1/2` | `8 1/4` |
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Manoj is making a number of curries. He has 8 cups of coconut milk.
Manoj uses `2/3` of a cup of coconut milk for every curry.
What is the maximum number of curries Manoj can make?
| `8` | `8 2/3` | `9 1/3` | `12` | `16` |
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Matt and Libby both bought the same sized box of chocolates.
Matt ate `5/6` of his box.
Libby ate more chocolates than Matt.
What fraction of her chocolates could Libby have eaten?
| `4/5` | `5/7` | `6/7` | `7/9` |
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Alison has 15 lollipops and decides to give `1/3` of them to her sister.
How many lollipops does her sister get?
| `3` | `4` | `5` | `6` |
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Freya buys 2 of the same chocolate bars from the shop.
She breaks the first chocolate bar into 3 identical pieces.
She then breaks the second chocolate bar into 6 identical pieces.
One of the larger pieces of chocolate weighs 12 grams more than one of the smaller pieces.
What is the mass of one whole chocolate bar?
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On a certain night half of the moon is black, `3/10` is grey and the rest of the moon is lit up brightly.
What fraction of the moon is lit up brightly?
| `1/6` | `1/5` | `8/10` | `10/12` |
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