Aussie Maths & Science Teachers: Save your time with SmarterEd
Spiro spins the arrow of this spinner 40 times.
He records the number of times the arrow lands on each number.
Which table records the most likely results?
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`text(Landing on 1 or 5 is approximately one-third chance)`
`text(which is 13 times.)`
`text(Landing on 4 is expected to occur slightly less often)`
`text(than landing on 2 or 3.)`
Five students do a standing long jump at their athletics carnival and the length of their jumps, in centimetres, are recorded in the table below.
If Kath's distance is removed from the data, what happens to the mean distance that is jumped from this group?
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It increases |
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It decreases |
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There is no change |
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It is not possible to tell |
Colin lives in Broome where the temperature on a particular day was 46°C.
Colin's son lives in Winnipeg, Canada, and on the same day the temperature there was −16°C.
What was the temperature difference between the two towns on this day?
| °C |
Gavin is comparing the average daily rainfall in the towns of Warren and Oxley in April.
What method below is the most valid?
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Ask 20 residents in each town how much rain they received each day in April. |
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Research the total rainfall each town received over the past year and divide by 12. |
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Research the rainfall each town received each day for the first week in April. |
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Research the total rainfall each town received in April and divide by 30. |
The sum of the dots on opposite faces of a standard die is 7.
Which is the net of this standard die?
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Five students were given their mark for their science exam.
This diagram shows their results.
Which student got the highest mark?
| Zoey | Matt | John | Ged | Gina |
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Numbers such as 4, 9, 16, 25, 64, 81 and 100 are called square numbers.
Select the statement that is true about square numbers.
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The square of an odd number can be an even number. |
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A square number multiplied by a square number is always a square number. |
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The square of an even number can be an odd number. |
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The difference between two square numbers is always a square number. |
Ryan and Oli are going to the cinema to watch a movie.
They arrive at the movie theatre at 3:00 pm. Their mother will pick them up at 5:15 pm.
Which movie could Ryan and Oli watch from start to finish?
| Ted 2 | Deadpool | Dirty Dancing | Weekend at Bernie's | ||
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Five students were given their mark for their science exam.
This diagram shows their results.
Which student got the highest mark?
| Zoey | Matt | John | Ged | Gina |
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Milly is using this cupcake recipe.
How many cups of sugar are needed for 20 cupcakes?
| `3 3/4` | `2` | `5` | `10` |
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There are 50 marbles in a bag. Twenty marbles are green, the others are yellow.
Wally picks a marble from the bag without looking.
What is the chance of Wally picking a green marble?
| 2 in 10 | 4 in 10 | 5 in 10 | 6 in 10 |
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Which number is greater than 0.05?
| 0.2 | 0.007 | 0.04 | 0.0076 |
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The actual body length of a beetle Brad has caught is 24 mm.
A scale drawing of the beetle is shown below.
What scale is used in the drawing?
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1 cm represents 5 mm |
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1 cm represents 2 mm |
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2 cm represents 1 mm |
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5 cm represents 1 mm |
What is the best way to estimate the total cost of these three objects?
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`$50 + $30 + $90` |
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`$50 + $30 + $100` |
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`$50 + $40 + $90` |
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`$50 + $40 + $100` |
How many hours and minutes are between 3:17 am and 5:27 pm on the same day?
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12 hours and 10 minutes |
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12 hours and 50 minutes |
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14 hours and 10 minutes |
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14 hours and 50 minutes |
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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Here is a plan of Dave's backyard.
The total area of the paving stones is 18 m².
What is the total area of the grass in Dave's backyard?
| `text(36 m²)` | `text(48 m²)` | `text(54 m²)` | `text(72 m²)` |
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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?
| marbles |
Vladimir uses a 6 cm high print to make a sign.
If the actual sign is 120 cm wide, what is its height?
| `text(24 cm)` | `text(36 cm)` | `text(60 cm)` | `text(400 cm)` |
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A ute uses an average of 12 litres of diesel fuel for every 100 km travelled.
At this rate, how many litres would the ute use to travel 450 km?
| litres |
Luigi spins these two arrows. He then adds the numbers in the sections where the arrows stop to get the total score.
How many different ways can Luigi get a total of 7?
| `2` | `3` | `4` | `5` |
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`text(Consider the possibilities to get 7)`
`:.\ text(There are 3 ways to get a total of 7.)`
Patrick rode his scooter at a speed of 5 metres per second.
If he rode for 30 seconds, how far did he go?
| 2.5 m | 6 m | 150 m | 360 m |
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Which fraction has the same value as `3 2/5`?
| `15/5` | `8/5` | `17/5` | `21/5` |
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Which fraction has the same value as `2 3/5`?
| `6/5` | `9/5` | `13/5` | `17/5` |
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Which one of the following expressions is equivalent to `4 (3m-1)`?
| `7m-1` | `12m-1` | `12m-4` | `8m` |
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Two squares `ABCD` and `EFGH` are shown below.
The area of triangle `FGH` is
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quarter the area of `ABCD` |
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four times the area of `ABCD` |
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one eighth the area of `ABCD` |
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eight times the area of `ABCD` |
`ABCD` is a square.
What is the value of `x`?
| 1 | 2 | 3 | 4 |
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There are 50 marbles in a bag. Twenty marbles are green, the others are yellow.
Wally picks a marble from the bag without looking.
What is the chance of Wally picking a green marble?
| 2 in 10 | 4 in 10 | 5 in 10 | 6 in 10 |
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The actual body length of a beetle Brad has caught is 24 mm.
A scale drawing of the beetle is shown below.
What scale is used in the drawing?
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1 cm represents 5 mm |
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1 cm represents 2 mm |
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2 cm represents 1 mm |
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5 cm represents 1 mm |
How many US dollars could be bought with 50 Australian dollars using this exchange rate?
Here is a map of Crikey Island.
Which one of these points is on Crikey Island?
| `(6, 2 1/2)` | `(1, 5 1/2)` | `(2, 4)` | `(3 1/2, 7)` |
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Pillar draws a circle with a diameter of 3.2 cm.
What is the circumference of the circle to the nearest centimetre?
| `text(5 cm)` | `text(6 cm)` | `text(10 cm)` | `text(20 cm)` |
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The population of Australian states in 2015 and 2016 is recorded in the table below.
Some data for Western Australia is not shown.
What was the population of Western Australia (WA) close to in 2016?
| `2\ 773\ 100` | `2\ 710\ 500` | `2\ 147\ 600` | `2\ 091\ 300` |
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Here is a table of values for `x` and `y`.
Which of these is a correct rule for `y` in terms of `x`?
| `y = x` | `y = 2x` | `y = 6x` | `y = 4x^2` |
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Poppy uses a photocopier to enlarge this picture.
The enlarged picture is 3 times as high and 3 times as wide as the original.
The area of the enlarged picture is
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3 times the area of the original. |
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6 times the area of the original. |
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9 times the area of the original. |
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24 times the area of the original. |
There were only 17 students in Grace's class on Wednesday. The other 8 were absent.
What percentage of Grace's class was absent?
| `text(8%)` | `text(25%)` | `text(32%)` | `text(33%)` |
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Which dotted line is a line of symmetry?
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Which expression is equivalent to `5-6t`?
| `6-5t` | `6t-5` | `-5 + 6t` | `-6t + 5` |
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A wooden block, the shape of a cylinder, is sawed into two pieces, vertically along the dashed line shown below.
Which shows the shape of the cross-section made by the cut?
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`sqrt (190)` is between
| `9 and 12` | `12 and 14` | `14 and 20` | `40 and 50` |
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Olive drew this plan of her lawn.
Which expression gives the area of Olive's lawn?
| `(a xx b) + (c xx d)` | `(a xx b) xx (c xx d)` | `(a + b) + (c + d)` | `(a + b) xx (c + d)` |
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| `text(Total Area)` | `= text(Area 1) + text(Area 2)` |
| `= (a xx b) + (c xx d)` |
Which is the best estimate for `26 xx 14 + 77 - 32`?
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`20 xx 10 + 70 - 30` |
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`20 xx 10 + 80 - 30` |
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`30 xx 10 + 80 - 30` |
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`30 xx 20 + 80 - 40` |
What is the value of `x`?
| `50` | `80` | `90` | `110` |
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Opposite faces on a standard die always add up to 7.
Which of the below diagrams shows a correct net for a standard die?
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Michelle is tiling a walkway that is 5.6 metres long.
She is using cement tiles that are 0.08 metres wide.
There are no gaps between the tiles.
How should Michelle calculate how many cement tiles she will need?
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`5.6 ÷ 0.08` |
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`0.08 ÷ 5.6` |
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`5.6 xx 0.08` |
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`5.6 - 0.08` |
Locky got a new car and recorded how many litres of petrol he put into the car over 4 weeks.
Week 1: 62.35 litres
Week 2: 58.65 litres
Week 3: 44.95 litres
Week 4: 53.75 litres
To estimate how many litres of petrol he put into his car over the 4 weeks, Locky rounded the weekly amounts to the nearest 10 litres and added them.
How much was Locky's estimate?
| `240\ text(litres)` | `230\ text(litres)` | `210\ text(litres)` | `200\ text(litres)` |
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Mick has a bag of marbles. His marbles are orange, white, blue and green.
Mick picks one marble from his bag.
Which of the following could be the probability that the marble he picks is green.
| `13/3` | `1.52` | `3/13` | `6` |
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A cricket kit has white, pink and red cricket balls.
There are:
How many balls, in total, are in the kit?
| `19` | `24` | `25` | `34` | `39` |
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Bobby places a disc at (4, −2).
He then moves the disc up 4 units.
What are the coordinates of the new position of the disc?
| `text{(8,−2)}` | `(4,2)` | `text{(4,−6)}` | `text{(0,−2)}` |
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`(4,2)`
Ethan writes the sequence:
`7, \ 0.7, \ 0.07, \ 0.007, …`
Describe the rule he uses to write the next number in this sequence.
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`text(add 6.3)` |
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`text(subtract 6.3)` |
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`text(multiply by 0.01)` |
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`text(divide by 0.1)` |
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`text(multiply by 10)` |
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`text(divide by 10)` |
The rectangle below will be folded along the dashed line, BD.
Where will point A move to?
| `D` | `E` | `F` | `G` | `H` |
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`G`
In a science experiment, Albert needs to add 60 millilitres of acid to every 2 litres of water.
If Albert only has 0.5 litres of water left, how many millilitres of acid should he add?
| `0.15\ text(mL)` | `0.6\ text(mL)` | `15\ text(mL)` | `30\ text(mL)` | `120\ text(mL)` |
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500 kilograms of a concrete material is made by mixing 200 kilograms of cement with 300 kilograms of sand.
What percentage of the concrete is made up of sand?
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`text(0.05%)` |
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`text(0.3%)` |
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`text(0.6%)` |
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`text(3%)` |
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`text(30%)` |
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`text(60%)` |
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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A triangle is drawn on grid paper.
What is the area of the triangle?
| 6 squares | 8 squares | 12 squares | 16 squares |
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| `text(Area)` | `= 1/2 xx text(base) xx text(height)` |
| `= 1/2 xx 4 xx 4` | |
| `= 8\ text(squares)` |
Karen needs 3475 centimetres of ribbon for a science project.
Choose an equivalent length of ribbon for Karen to use.
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34 metres and 75 centimetres |
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3 metres and 475 centimetres |
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34 centimetres and 75 millimetres |
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347 centimetres and 5 millimetres |
