Aussie Maths & Science Teachers: Save your time with SmarterEd
Noosa has the latitude and longitude of 28° south, 149° east.
A migrating pod of whales has a latitude and longitude that is 15° north and 10° west of Noosa.
What is the position of the pod of whales?
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`text(43° south, 139° east)` |
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`text(43° south, 159° east)` |
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`text(13° south, 139° east)` |
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`text(13° south, 159° east)` |
The height of a garage is 270 cm.
Barry has a car that is `5/9` of the height of the garage.
What is the height of Barry's car?
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An insect expert estimates that an anthill 30 cm high contains `10^8` ants.
He also estimates that a 25 cm high anthill contains `10^7` ants.
If his estimations are correct, how many more ants live in the 30 cm high anthill than the 25 cm high one?
| `text(9 million)` | `text(10 million)` | `text(90 million)` | `text(100 million)` |
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The relationship between two variables `t` and `y` is shown in the table.
Which equation best describes the relationship between `t` and `y`?
| `y = 3t + 2` | `y = 2 - 3t^2` | `y = 2t^2 - 3` | `y = 2 - 2t^2` |
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The season goal-scoring statistics of a netball team showed the following results.
Gemma scored 12 more goals than Kate.
Kate scored 6 more goals than Hannah.
In total, Gemma, Kate and Hannah scored 51 goals in the season.
How many goals did Hannah score?
Which of these fractions has the greatest value?
| `2/3` | `19/24` | `5/6` | `14/16` |
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`17 xx (68 - 13)` has the same value as
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`(17 xx 68) - 13` |
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`(17 xx 68) - (13 xx 68)` |
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`17 xx (68 - 17 xx 13)` |
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`(17 xx 68) - (17 xx 13)` |
Nathan stacked 30 blocks into a rectangular prism as shown below.
The prism has 6 faces.
Nathan removes some blocks and the remaining shape has 14 faces.
What was the smallest number of blocks that he could have removed?
`text(If Nathan removes the middle block in the second)`
`text(column, the number of faces on the new shape)`
`text(increases by 4.)`
`:.\ text(If he removes the middle block of the second and)`
`text(fourth column, the shape has 14 faces.)`
`:.\ text(2 blocks is the smallest number.)`
George creates models of steps using cubes as shown below.
How many cubes would George need to create a model for 5-steps?
Mea and Jack are playing a dice game.
They have two standard 6-sided dice.
One of the die is white and the other is grey.
Mea needs to roll a total of 11 to win.
There are two different ways she can roll a total of 11 as shown.
Jack has to roll a 6 to win.
How many different ways can Jack roll a total of 6?
`text(The table shows the ways a six can be rolled.)`
`:.\ text(5 different ways.)`
Gabby put 5 points on a grid and labelled them `A` to `E`, as shown on the diagram below.
Point `A` is 35 millimetres from point `D.`
Gabby adds a sixth point, `F` so that the arrangement of points has one line of symmetry.
How far is point `F` from point `B?`
| millimetres |
`A\ text(to)\ D\ text(is 35 mm)`
`=> 1\ text(grid is 7 mm × 7 mm)`
`text(Point)\ F\ text(is added below,)`
`:.\ text(Distance)\ B\ text(to)\ F`
`= 6 xx 7`
`= 42\ text(mm)`
How many degrees does the hour hand of a clock turn in 60 minutes?
| degrees |
The cross-section of a square pyramid is the 2D shape you get when you slice it parallel to its base.
Which of these is a cross-section of a square pyramid?
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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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Oliver makes the following number pattern.
`4, \ 6, \ 10, \ 18, \ ?`
This is the rule for the number pattern:
next number = previous number × n – n
where n represents the same value.
What is the next number in Oliver's pattern?
| `26` | `30` | `31` | `34` | `36` |
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Choon designs a line of tiles that repeats 5 different tiles in the same order, as shown below.
Each tile costs $11.50 and Choon uses $322 worth of tiles.
Which of these is the last tile in his line of tiles?
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`text(Total number of tiles used)`
`=322/11.50`
`=28`
`:.\ text(5 rows of 5 are used and the last tile is the 3rd)`
`text(in the pattern.)`
Tony's watch is working but showing 6:45 pm when the real time is 6:30 pm.
Tony has a dinner reservation at 7:50 pm.
When he arrived at the restaurant, his watch shows 8:20 pm.
How many minutes late to the restaurant was Tony?
| minutes |
A school's drama class puts on a play over five nights.
The play is open to the public and the numbers of tickets sold are shown in the table below.
The cost of each ticket was $15.
What was the mean amount of money collected from ticket sales per night?
| $ |
Kate buys a new computer.
The disk in its hard drive makes 120 full turns every second.
How many minutes will it take for the disk to make 324 000 full turns?
| minutes |
The mass of a 20-cent coin is about 10.7 grams.
The mass of a 10-cent coin is about 5.35 grams.
Mike has 278.2 grams of 20-cent coins.
Mal has 230.05 grams of 10-cent coins.
How much more are Mike's coins worth than Mal's coins?
| cents |
A piece of wood is leaning against five stacks of bricks.
There are 37 bricks in total.
How many bricks are in the tallest stack?
The diagonals of which shape below cross at right-angles?
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`text(A rhombus has diagonals that cross at right-angles.)`
Sharon made 24 milkshakes at her nephew's birthday party. The milkshakes were either vanilla or chocolate.
All the milkshakes were served in an aluminium cup and looked the same.
Murray took one milkshake and had a 1 in 8 chance of taking a vanilla milkshake.
How many chocolate milkshakes did Sharon make?
A sport store has a sale.
What is the difference in the sale prices of these two tents?
| $ |
Tom decided to cover a rectangular floor with tiles.
The tiles are twice as wide as they are long.
The floor is `5 1/2` tiles wide and `11 1/2` tiles long.
Using this pattern, what is the total number of tiles Tom will use to cover the floor?
Mandy surveyed all year 7 students about their favourite flavour of milkshake.
Which flavour did 4 out of 10 year 7 students choose as their favourite?
| `text(Chocolate)` | `text(Vanilla)` | `text(Strawberry)` | `text(Caramel)` |
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Jill is playing in her parents' rectangular courtyard.
The courtyard is measured at 6m by 10m.
Jill draws a triangle on the courtyard with chalk, pictured below.
What is the area of this triangle?
| The triangle is | square metres |
A plumber calculates the price of a job using a service fee and an amount per hour.
This table shows some of the job prices.
How are the jobs calculated?
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$60 service fee + $35 per hour |
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$60 service fee + $70 per hour |
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$58 service fee + $72 per hour |
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$58 service fee + $36 per hour |
Sam has these L-shaped tiles.
One side of the tile is light brown and one side of the tile is dark brown.
The glue only works on one side of the tile (the dark brown side).
Sam wants to glue all the tiles to the floor, so all should have the light brown side facing up.
Which pattern can Sam not make?
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`text(No tile can have the same orientation as the)`
`text(black tile.)`
`:.\ text{This pattern can’t be made (due to the bottom}`
`text{left tile).}`
In this number sentence, both circles represent the same number.
What number does 
represent?
| `text(Let)` | |
`= x` |
| `40 – x` | `= x – 6` |
| `2x` | `= 46` |
| `:. x` | `= 23` |
Patrick has 1 litre of cordial in a jug.
He pours the cordial into 3 identical glasses as shown.
Each glass holds 300 millilitres.
How much cordial does Patrick have left in the jug?
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about a quarter of a glass |
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about one half of a glass |
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about three quarters of a glass |
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more than one whole glass |
This is one face of a prism.
How many edges does this prism have?
The pictures show the front, side and top views of an object made of cubes.
How many cubes are needed to make the object?
Five people had sticks of different lengths.
Each person measured a 30 metre interval by counting how many stick lengths it took.
The results were put into the table below.
Which person had a stick that was 60 centimetres long?
| John | Caroline | Paul | Simon | Ken |
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The length of this rectangle is one and a half times its height.
The perimeter of the rectangle is 40 centimetres.
What is the area of the rectangle?
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Which value of `A` is closest to the missing number in this equation?
`(A + 89.29) ÷ 5.12 = 48.4`
| `− 80` | `80` | `130` | `160` | `250` |
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Walker is doing an intensive swim program over the summer holidays.
In his first session, he swims 50 laps.
In his second session, he swims 30% more laps than his first session.
In his third session, he swims 20% more laps than his second session.
How many laps does he swim at his third practice?
Angus asked all the students in his primary school how far away they lived from school.
He used the results to create the bar chart below but left off some labels.
Angus' primary school has 100 students.
How many students lived over 8 km from school?
Ten nails have a mass of 22 grams.
How many nails would have a mass of 550 grams?
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?
| $ |
Gali droppped a shot put out of a window.
He uses the following equation to calculate the height of the window in metres,
height = 4.9 x (time)²
where time is the number of seconds it takes the shot put to reach the ground.
Which of these is closest to the height of the window if it took the shot put a time of 2.4 seconds to reach the ground?
| `text(8 metres)` | `text(12 metres)` | `text(24 metres)` | `text(28 metres)` | `text(138 metres)` |
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The number of dots in each pattern increases by the same amount each time.
How many dots are in Pattern 12?
Tim arrived at Broadmeadow station at 9:00 am and caught the next train to Morriset.
At what time did Tim arrive at Morriset station?
| `9:29` | `9:32` | `9:40` | `10:00` |
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Grant was making a scale drawing of a pipeline on grid paper.
The full length of the pipeline is drawn to scale on the grid below. It consists of 8 identical sections joined together (not shown on the diagram).
What is the length of each section of pipeline?
| metres |
A standard six-sided dice is rolled once.
What is the probability that the number on the top face is a factor of 4?
| `5/6` | `1/2` | `1/3` | `1/6` |
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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 60-cent stamps did David buy?
Andrew drew a shape as pictured below.
What is the perimeter of this shape in centimetres?
| `101` | `112` | `127` | `148` | `154` |
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Jet has 22 sherbet sticks that he shares with 3 other friends.
He gave Rory 3 fewer than Patrick.
He gave Billy one more stick than Rory.
Jet ended up having three times more sticks as Rory.
How many sherbet sticks did Jet have in the end?
A Cartesian plane is shown.
Select the correct statement below.
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`O` is located where `x = 0` and `y < 0.` |
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`P` is located where `x < 0` and `y < 0.` |
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`Q` is located where `x = 0` and `y > 0.` |
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`R` is located where `x < 0` and `y < 0.` |
An orchard has the following trees:
How many trees are growing in the orchard?
Lines `AB` and `CD` are parallel.
Line `EF` intersects lines `AB` and `CD` as shown.
Which pair of angles are equal?
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`/_ FQA and /_ FQB` |
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`/_ CPQ and /_ AQE` |
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`/_ DPE and /_ DPF` |
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`/_ CPQ and /_ PQB` |
Jana drew a diagram of her tennis racquet.
The actual length of her racquet is 60 centimetres.
What is the actual width of her racquet head?
| centimetres |
Charles is facing south. He then turns 225° anticlockwise.
Charles then turns clockwise until he faces west.
By how many degrees did Charles turn clockwise?
| `45°` | `135°` | `180°` | `315°` |
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`:.\ text(Charles turns 315° clockwise.)`
Ms Bone has more than 15 students in her class.
When she divides the class into groups of 5, there are 3 students left over.
When she divides the class into groups of 3, there are 2 students left over.
What is the least number of students that could be in Ms Bone's class?
The rectangular prism, pictured below, has a volume of 8500 cm³ and a height of 20 cm.
What could be the length and width of the prism?
| `25\ text(cm) xx 17\ text(cm)` | `30\ text(cm) xx 20\ text(cm)` | `25\ text(cm) xx 21\ text(cm)` | `40\ text(cm) xx 15\ text(cm)` |
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Over 5 games, Ramesh recorded the following scores when playing cricket.
`28, \ 30, \ 33, \ 1, \ 18`
What was his mean score?
Mark decides to make the paddock on his farm bigger.
The paddock is in the shape of a rectangle.
Mark makes both the length and the width of the paddock 3 times longer.
How many times bigger is the area of the new paddock than the original paddock?
| `3` | `4` | `6` | `9` |
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Onions cost $3 per kilogram.
Peter buys 3.35 kilograms of onions.
How much does Peter pay for the onions?
| $ |
Kaleesha is playing a 'Guess My Number' game.
She gives these clues about her number.
What is Kaleesha's number?
The table shows the dimensions of four different rectangles in centimetres.
Which rectangle has a perimeter of 28 centimetres?
| `text(Rectangle 1)` | `text(Rectangle 2)` | `text(Rectangle 3)` | `text(Rectangle 4)` |
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