Aussie Maths & Science Teachers: Save your time with SmarterEd
A car travelling south-west along Jake Road takes a 90° turn left into Benson Road.
In which direction will the car be travelling along Benson Road?
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`text(south-west)` |
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`text(north-east)` |
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`text(south-east)` |
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`text(north-west)` |
`text(south-east)`
A walking path near the beach is paved for half the length, cobbled stone for `3/10` of the length and then grass for the rest of the path.
For what fraction of the path is it grass?
| `1/5` | `3/10` | `3/5` | `8/10` |
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Farmer Jim uses 5-strand wire fencing around his paddocks.
His fences have 3 barbed wire strands and 2 plain wire strands, as shown in the diagram below.
Barbed wire costs `$b` per metre. Plain wire costs `$w` per metre.
Which of these expressions gives the total cost of the wire needed for a fence of length `F` metres?
| `5bwF` | `6bwF` | `6(b + w)F` | `(3b + 2w)F` |
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Pablo cuts a square out of a rectangular piece of paper, as shown below.
The square Pablo cut out has a side length of 6 cm.
Which of these expressions gives the area of Pablo's piece of paper after cutting out the square?
| `(28 xx 20)-(6 xx 6)` | `(22 xx 14) + (6 xx 6)` |
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| `(28 + 20)-(6 + 6)` | `(28 + 20) + (6 xx 6)` |
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Which position is closest to `1/3` on this number line?
| `text(A)` | `text(B)` | `text(C)` | `text(D)` |
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Manou is cooking dinner for some friends.
The cooking times for the three ingredients of his main meal are in the table below.
Manou starts cooking the quail at 7:15 pm.
He wants everything to finish cooking at the same time.
At what time should Manou start cooking the brown rice?
| `text(8:00 pm)` | `text(8:10 pm)` | `text(8:20 pm)` | `text(8:30 pm)` |
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The piece of cardboard shown below can be folded into a closed rectangular box.
Which part of the flat piece of cardboard could have the picture on it?
| `text(A)` | `text(B)` | `text(C)` | `text(D)` |
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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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| `36 xx` |
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`= 27` |
| `1/3` | `3/4` | `4/3` | `3/1` |
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Goran made a triangle using string.
The perimeter of Goran's triangle was 16 cm.
Which of these could be the side lengths of his triangle?
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`text(4 cm, 4 cm, 8 cm)` |
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`text(5 cm, 5 cm, 6 cm)` |
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`text(5 cm, 3 cm, 8 cm)` |
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`text(2 cm, 2 cm, 12 cm)` |
Which of these drawings is not the net of a cube?
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Peter is at the cafe of a theme park.
He leaves the cafe heading east on the pathway.
He makes a right turn and walks until he reaches a building.
In total, Peter walks 110 metres.
Which area of the park does Peter walk to?
| `text(Ferris Wheel)` | `text(Roller Coaster)` | `text(Show Bags)` | `text(Water World)` |
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Abe cuts a regular hexagon into 3 identical shapes.
Which of these could be the shape that Abe cuts?
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`text(3 rhombuses above can be joined to form)`
`text(a regular hexagon, as shown below.)`
A tadpole is measured to be 9 mm long.
A few weeks later, the tadpole turns into a frog that is about 8 times longer than its tadpole length.
The difference between the length of the frog and its length as a tadpole is about
| `text(1 mm)` | `text(17 mm)` | `text(63 mm)` | `text(72 mm)` |
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Pablo cuts a square out of a rectangular piece of paper, as shown below.
The square Pablo cut out has a side length of 6 cm.
Which of these expressions gives the area of Pablo's piece of paper after cutting out the square?
| `(28 xx 20) - (6 xx 6)` | `(22 xx 14) + (6 xx 6)` |
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| `(28 + 20) - (6 + 6)` | `(28 + 20) + (6 xx 6)` |
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Which position is closest to `1/3` on this number line?
| `text(A)` | `text(B)` | `text(C)` | `text(D)` |
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Wes made a small staircase by stacking blocks.
There are no gaps between blocks.
How many blocks in the staircase are not shown at all?
| `48` | `36` | `28` | `24` |
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Two plans of a sports complex can be seen below.
Which designated sports area is closest to the corner of Bone Street and Depp Street?
| Karate | Fencing | Ping Pong | Yoga |
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Manou is cooking dinner for some friends.
The cooking times for the three ingredients of his main meal are in the table below.
Manou starts cooking the quail at 7:15 pm.
He wants everything to finish cooking at the same time.
At what time should Manou start cooking the brown rice?
| `text(8:00 pm)` | `text(8:10 pm)` | `text(8:20 pm)` | `text(8:30 pm)` |
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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` |
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Peter has a bag of marbles. 75% of his marbles are blue.
Peter takes a green marble from his bag and loses it in a game.
If he takes another marble from the bag without looking, what are the chances it is blue?
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less than 75% |
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equal to 75% |
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greater than 75% |
Renny's dress shop is open 9 am to 6 pm from Monday to Friday and 9 am to 1 pm on Saturday.
What is the total number of hours her shop is open in 1 week?
| `39` | `45` | `49` | `60` |
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Curly measures the position of glaciers in the antarctic.
His measurements showed that in 1 full year, a glacier moved 88 cm.
On average, how many centimetres did the glacier move per day?
| `0.24\ text(cm)` | `0.88\ text(cm)` | `1.6\ text(cm)` | `7.3\ text(cm)` |
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The rules of a number game are shown in the flowchart below.
The output number is 21.
What are two possible values for the input number?
| `7 and 16` | `16 and 63` | `7 and 26` | `26 and 63` |
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A stamp leaves an imprint of a horse head on paper.
The stamp is pictured below.
Which one of these shapes does the stamp make?
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This chart shows the longest run, in kilometres, that Deek ran each week over 5 weeks.
\begin{array} {|l|c|c|c|c|c|}
\hline \textbf{Week} & 1 & 2 & 3 & 4 & 5\\
\hline \textbf{Longest run (km)} & 8 & 11 & 14 & 17 & 20\\
\hline \end{array}
If the pattern continues, in which week is Deek's longest run 29 km?
| `7` | `8` | `9` | `10` |
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A local soccer club has 1600 fans.
At a game, one-quarter 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` |
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A rectangular parking lot has a perimeter of 80 m.
Each short side has a length of 10 m.
What is the length of the long side?
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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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Jamie is drawing a square on this grid.
He has drawn two corner points as shown.
Jamie draws the third corner at (5, 6).
Where will the other corner of the square be?
| `(1, 2)` | `(2, 1)` | `(1, 6)` | `(2, 2)` |
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`(1, 2)`
A car dealership contains 12 black, 8 red, 10 blue, 16 silver and 4 white cars.
Walter wears a blindfold and chooses one car at random.
What is the chance that the car is blue?
| `1/2` | `1/4` | `1/5` | `1/10` |
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Colin created the following pattern using plums from his orchard.
If this pattern continues, how many plums are in Column 7?
| `4` | `13` | `19` | `22` |
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The area of the shaded rectangle below is 84 cm².
What is the length of the shaded rectangle?
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Matt and Libby love nature and planted 50 trees each over 3 weeks.
The bar chart below shows the number of trees each of them planted in each week.
How many more trees did Libby plant than Matt in Week 2.
Tony is making a fruit cake.
The recipe says he needs 3 cups of sultanas for every 5 cups of flour.
If 2.5 cups of flour are used, how many cups of sultanas are needed?
| `0.5\ text(cups)` | `1.5\ text(cups)` | `2.5\ text(cups)` | `4.5\ text(cups)` |
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Which of the shapes below has exactly two lines of symmetry?
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`text(Option 1 has 4 lines of symmetry.)`
`text(Option 2 has 5 lines of symmetry.)`
`text(Option 3 has 1 line of symmetry.)`
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%)` |
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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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What is the size of the shaded angle?
| `105^@` | `110^@` | `120^@` | `125^@` |
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Patrick paid $3552 for some cattle.
He paid the same amount of money for each animal.
The cost of each animal was a whole number of dollars.
Which of the following could be the number of cattle Patrick bought?
| `33` | `36` | `37` | `38` |
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Manuela weaves baskets to sell at the markets.
She weaves the same number of baskets each week.
At the end of each week she adds a point to the graph below that records the total amount of baskets she has weaved over all weeks combined.
What will be the exact total amount of baskets weaved by Manuella at the end of week 9.
| Baskets |
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?
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less than 25% |
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more than 25% but less than 50% |
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more than 50% but less than 75% |
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more than 75% |
This table shows the number of people who visited a war memorial on weekdays over 4 weeks.
What was the mean (average) number of people who attended the war memorial on Fridays?
| `22` | `26` | `27` | `28` |
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This 3D object is made by joining cubes.
It is then lowered into a tin of paint and completely submerged.
When the object is taken back out of the paint tin, how many faces are painted?
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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What is the size of the missing angle?
| `30^@` | `40^@` | `50^@` | `60^@` | `70^@` |
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What number is added to `3 3/4` to equal `4 1/2`?
| `2` | `1 1/4` | `3/4` | `1/2` |
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Which spinner does not show a 50-50 chance of landing on the `Delta` symbol?
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`text(Each section that has a triangle in it in the above image)`
`text(only accounts for)\ \ 1/6\ \ text(of the pie.)`
`:.\ text(The spinner only has)\ \ 1/3\ \ text(chance of landing)`
`text(on a triangle.)`
Johnno was standing 300 metres away from the stage at a rock concert.
If the sound travelled at 330 metres per second from the stage, how many seconds did the sound take to get to Johnno?
| `0.909` | `1.100` | `1.409` | `13.051` |
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The table below shows the results of a rule that changes each 
into a 
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Which rule below was used?
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`=` | |
`xx 1 + 3` |
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`=` | |
`xx 2 + 1` |
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`=` | |
`xx 3 + 3` |
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`=` | |
`xx 4 - 3` |
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`xx 4 – 3` |
`text(The only rule that satisfies all results is:)`
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`xx 4 – 3` |
Waleed tried to write down all the prime numbers below 20.
His list was: 3, 5, 7, 11, 13, 19
Which number below is one of the prime numbers Waleed missed?
| `2` | `9` | `15` | `23` |
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Muriel made a batch of cookies.
Each cookie had 4 chocolate chips and 3 jelly snakes on it.
Muriel used 39 jelly snakes in the batch of cookies.
How many chocolate chips did she use?
| `13` | `26` | `39` | `52` | `78` |
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What is the value of `25^2?`
| `5` | `27` | `50` | `525` | `625` |
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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` |
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In 2015, the population of Australia was estimated at 24 million.
The amount of milk consumed in 2015 was 78 million litres.
The average amount of milk consumed by one person in 2015 was closest to
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`text(0.3 litres)` |
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`text(3 litres)` |
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`text(30 litres)` |
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`text(300 litres)` |
Andrew caught a fish and measured it, as shown in the diagram below.
How long was Andrew's fish, in centimetres?
| `33\ text(cm)` | `34\ text(cm)` | `35\ text(cm)` | `36\ text(cm)` | `38\ text(cm)` |
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| `22.5 ÷` | `= 2.25` |
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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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)` |
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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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