Aussie Maths & Science Teachers: Save your time with SmarterEd
Azul is running a half-marathon.
The event starts at 7:25 am.
Azul completes the run at 9:05 am.
How long did the run take Azul?
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`text(1 hour and 30 minutes)` |
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`text(1 hour and 40 minutes)` |
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`text(2 hours and 20 minutes)` |
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`text(2 hours and 40 minutes)` |
Zoe collected 8 baskets of eggs from her chicken coup.
Each basket had the same number of eggs and a total of 96 eggs were collected.
Which equation shows the average number of eggs, `x`, in each basket?
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`x = 96 xx 8` |
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`x = 96 - 8` |
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`x ÷ 8 = 96` |
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`x xx 8 = 96` |
The table below shows the results of a rule that changes each 
into a 
.
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` |
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`=` | |
`xx 4 – 3` |
This graph shows the price per tonne of resources in a country.
The price of coal was greater than the price of iron ore for a number of quarters, as shown by the graph.
In one of those quarters, the price of aluminium scrap metal fell below $60 per tonne.
Which quarter was this?
| `text(2011 Q1)` | `text(2011 Q2)` | `text(2011 Q3)` | `text(2011 Q4)` |
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Which of these designs looks identical after a quarter turn?
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David makes the following pattern of figures using sticks.
How many sticks will Figure 6 require?
| `30` | `32` | `34` | `37` |
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Max bought 5 lollipops and 3 chocolate bars from the shop.
The lollipops cost 30 cents each and the chocolate bars cost $1.20 each.
How much did Max pay?
| `$1.50` | `$2.70` | `$5.10` | `$5.90` | `$6.90` |
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A six sided figure is drawn below.
What is the sum of the six interior angles?
| `540^@` | `660^@` | `720^@` | `810^@` |
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In 2009, an estimated 1.7 million registrations were made by Australian children to participate in organised sport outside school.
The average cost of one registration was estimated at $392.
What was the total amount paid for registrations in 2009?
| `$4\ 336\ 700` | `$666\ 400` | `$4\ 336\ 700\ 000` | `$666\ 400\ 000` |
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Which arrows show the approximate locations of `7/8` and `pi` on the number line?
| `A and C` | `A and D` | `B and C` | `B and D` |
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The shape below was cut into identical pieces and nothing was left over.
Which of the following could be the shape of the pieces?
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`text(The larger shape can be cut up as follows:)`
The fraction `8/10` and `1/5` have been shaded on this fraction wall.
What is `8/10 - 1/5?`
| `7/5` | `7/10` | `6/10` | `8/10` |
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A trapezium is constructed on a grid of 10 rectangles.
Each rectangle measures 3 cm × 5 cm.
What is the area of the trapezium?
| `85\ text(cm²)` | `95\ text(cm²)` | `105\ text(cm²)` | `125\ text(cm²)` |
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| `text(Area)` | `= 1/2 h (a + b)` |
| `= 1/2 xx 10 xx (6 + 15)` | |
| `= 105\ text(cm²)` |
The rhombus below has a side length `d`.
Which expression cannot be used for the perimeter?
| `2 xx (d + d)` | `d xx 4` | `d xx d` | `d + d + 2 xx d` |
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Which number below represents an event that is certain to occur?
| `0.0` | `0.1` | `1.0` | `1.2` |
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| `8 xx (4 + 3)` |
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`7 xx 5 + 3` |
Which symbol `( <, = , >)` makes the number sentence correct?
| `<` | `=` | `>` |
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A swim squad normally do 60 laps per training session.
On a light training day, they only do two thirds of the laps of a normal session.
How many laps do they do in a light session?
| `20` | `35` | `40` | `45` | `50` |
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A birthday cake is cut into 12 equal pieces.
Only the shaded pieces below are left.
What percentage represents the amount of cake left?
| `text(10%)` | `text(20%)` | `text(25%)` | `text(33%)` |
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The Olympic Games are held every 4 years.
The 30th Games were held in London in 2012.
What year will the 38th Olympics be held?
| `2020` | `2038` | `2040` | `2044` |
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Aaron has $3 less than Brendon.
Using `a` for Aaron's money and `b` for Brendon's money, which equation correctly describes this fact?
| `a = b + 3` | `a = 3 - b` | `a = b - 3` | `a = b ÷ 3` |
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Brandi spins the arrow on two identical spinners.
The arrow on each spinner is equally likely to land on 1, 2 or 3.
If Brandi adds up the two results, which total is she least likely to get?
| `2` | `3` | `4` | `5` |
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4 groups of backpackers picked blueberries over two hours.
The weight of the blueberries collected (in kg) by the groups in each hour is shown in the table below.
| Group 1 | Group 2 | Group 3 | Group 4 | |
| 1st Hour | 2.57 | 2.89 | 2.5 | 2.87 |
| 2nd Hour | 2.35 | 2.06 | 2.92 | 2.53 |
Which group picked the greatest mass over the two hours?
| `text(Group 1)` | `text(Group 2)` | `text(Group 3)` | `text(Group 4)` |
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James weighed 80 kg when he was 18 years old.
On his 21st birthday, James weighs 5% more than when he was 18.
How much does he weigh now?
| `76\ text(kg)` | `84\ text(kg)` | `85\ text(kg)` | `120\ text(kg)` |
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Which is the correct expression for 96.4851 rounded to 2 decimal places?
| `96.00` | `96.48` | `96.49` | `96.50` |
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Charlie has $20 to buy a can of soda and a chocolate bar from the shop.
How much change should Charlie be given?
| `$15.70` | `$16.70` | `$17.10` | `$24.30` |
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Brendan has 810 grams of chocolate.
He cuts the chocolate into 9 equal pieces.
How much does each piece weigh?
| `text(80 g)` | `text(90 g)` | `text(100 g)` | `text(110 g)` |
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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` |
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Which expression equals `a^3`?
| `(a + a + a + a)/a` | `a^2 + a` | `3 × a` | `a × a × a` |
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A television documentary goes for 115 minutes.
If Damon started watching at 7:30 pm, what time will it finish?
| `text(8:25 pm)` | `text(8:45 pm)` | `text(9:25 pm)` | `text(9:35 pm)` |
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Freya and Eloise were playing a game where they both started with zero points.
Freya's final score was 320 points and Eloise's final score was − 80.
How many more points did Freya have than Eloise?
| `−400` | `−240` | `240` | `400` |
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The weatherman described the chance of thunderstorms on a given day as highly unlikely.
Which probability best describes the chance of a thunderstorm?
| `1/11` | `1/2` | `10/11` | `1` |
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Riley participates in a walkathon at the local athletics track.
His uncle donates $40.
His father donates $8 per lap of the track that Riley walks.
How many laps does Riley need to walk to raise $160?
| `14` | `15` | `18` | `20` | `24` |
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Patrick has 5-cent, 20-cent and 50-cent coins in his pocket.
In total he has $1.95.
What is the smallest number of coins he could have?
| `5` | `6` | `7` | `8` | `9` |
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A ramp rises 1 metre for every 8 metres of its base length.
If it rises 0.7 metres, what is its base length?
| `5.6\ text(metres)` | `8.7\ text(metres)` | `11.4\ text(metres)` | `16\ text(metres)` |
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Rory is shading squares in a grid.
Rory needs to shade some extra squares so that the dotted line is a line of symmetry.
What is the smallest number of squares he has to shade?
| `2` | `3` | `4` | `5` |
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`text{4 squares need to be shaded (see below).}`
The colour orange can be made by mixing 5 litres of yellow paint with 8 litres of red paint.
If 140 litres of yellow paint are used in this mixture, how much red paint is needed?
| `text(18 litres)` | `text(28 litres)` | `text(88 litres)` | `text(224 litres)` |
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Eloise makes a sketch of the playground at her school.
What is the size of angle `x°`?
| `53^@` | `123^@` | `133^@` | `143^@` |
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A shoebox is square at each end and twice as long as it is high, as shown in the diagram.
Which of these is the closest estimate for the number of cubes that would fill the box?
| `16` | `60` | `130` | `500` |
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Which number shows 5 thousands, 9 tens and 3 tenths?
| `590.03` | `5090.3` | `5009.3` | `5090.03` |
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Ben was drawing a rectangular prism on an isometric grid.
Which pair of points should Ben connect with a line?
| `B and F` | `B and E` | `A and D` | `A and F` |
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`7 xx 2^3 =`
| `28` | `42` | `56` | `2744` |
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The progression of the world pole vault record is graphed below.
By about how many centimetres did the world record increase between 1985 and 2005?
| `13` | `19` | `21` | `25` |
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Two standard dice are rolled at the same time and the two numbers are added up.
Which total is most likely?
| `2` | `3` | `4` | `7` |
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The monster truck exhibition starts at 7:15 pm and goes for 138 minutes.
What time does it finish?
| `text(8:53 am)` | `text(8:53 pm)` | `text(9:33 am)` | `text(9:33 pm)` |
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`30^2` is equal to which of the following?
| `60^2 ÷ 3` | `3^2 xx 2 xx 5 xx 2 xx 5` | `9 xx 5^2` | `3 xx 10 xx 10` |
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A large birdcage contains 8 canaries and 13 parakeets.
About what percentage of the birds are canaries?
| `text(8%)` | `text(38%)` | `text(58%)` | `text(62%)` |
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One billion is one thousand million.
Which of the following is 20 billion?
| `2 xx 10^13` | `2 xx 10^10` | `2 xx 10^7` | `2 xx 10^4` |
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What is the value of `(74.2 + 13.56)/(6.4 xx 2.1)`
| `4.6` | `6.5` | `10.3` | `74.9` |
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Thomas throws a ball from a height of 2 metres.
The ball reaches a maximum height of 4 metres and hits the ground again after 4 seconds.
Which graph represents the path of Thomas' ball?
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A bullet fired from a hand gun travels at 390 metres per second.
What is the speed of the bullet in metres per minute?
| `39\ 000` | `23\ 400` | `6.5` | `3.9` |
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`y = 4x^2 - 7`
What is the value of `y` when `x = 3.1?`
| `5.4` | `17.8` | `31.44` | `146.76` |
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Which of these can be measured in grams?
| `text(length)` | `text(volume)` | `text(mass)` | `text(area)` |
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Ryan and Oliver are buying goldfish for their fish tank.
Oliver buys 3 times the number of goldfish as Ryan does, plus another 5.
Let `m` be the number of goldfish that Ryan buys.
Which expression represents the number of goldfish Oliver buys?
| `(3 xx m) + 5` | `3 + (5 xx m)` | `(m ÷ 3) - 5` | `3 - (m ÷ 5)` |
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Oliver is mowing a lawn in the shape of a parallelogram.
What is the perimeter of the mown lawn?
| `115\ text(m)` | `230\ text(m)` | `2560\ text(m)` | `3250\ text(m)` |
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Ali joins a gym that has a fortnightly fee of $33.
Members pay an extra $12 per session if they want to do a special yoga class.
Which expression represents Ali's fortnightly gym bill if she does `x` yoga classes during the fortnight?
| `12x` | `33x` | `33x + 12` | `33 + 12x` |
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Vinny made a ramp to access his tree house that is 1.5 metres high.
The ratio of the horizontal length of the ramp to its height is `8:1`.
What is the horizontal length of the ramp?
| `text(8 metres)` | `text(12 metres)` | `text(16 metres)` | `text(24 metres)` |
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Point `A` is translated to the right 4 units.
What are the coordinates of the new position of point `A`?
| `(2,−2)` | `(−2,2)` | `(6,2)` | `(2,6)` |
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Patrick wants to find the number of people who are enrolled in either a karate class or a surfing class but not both.
Which shaded region in the Venn diagrams represents the information Patrick is looking for?
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`text(Karate or surfing but not both.)`
A bag contains 30 marbles that are either blue or green.
The probability of randomly removing a blue marble is 30%.
What is the probability of randomly removing a green marble?
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A store sells cups for $4 each and bowls for $5 each.
Alex wrote the equation `4c + 5b =65` to calculate the number of cups and bowls he could buy for exactly $65.
How many cups and bowls did Alex buy for $65?
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3 cups and 10 bowls |
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4 cups and 10 bowls |
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5 cups and 9 bowls |
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10 cups and 7 bowls |
