Aussie Maths & Science Teachers: Save your time with SmarterEd
Ice cream is put into a waffle cone so it fills the cone to the top.
The volume, `V`, of the cone is given by the rule `V = (pir^2h)/3`,
where `r` is the radius of the cone in centimetres and `h` is the height in centimetres.
When `h = 12` and `r = 3`, the volume of the cone is closest to
| `38\ text(cm)³` | `113\ text(cm)³` | `339\ text(cm)³` | `452\ text(cm)³` |
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Identical sticks are used to make this pattern of hexagons.
In this pattern the rule for the number of sticks is
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5 × number of hexagons + 1 |
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6 × number of hexagons − 1 |
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5 × number of hexagons |
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6 × number of hexagons |
Which of these are always equal in length?
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the diagonals of a rhombus |
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the diagonals of a parallelogram |
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the opposite sides of a parallelogram |
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the opposite sides of a trapezium |
`text(The opposite sides of a parallelogram are always equal.)`
`y = 2x-3`
`y = 4x + 1`
Which value of `x` satisfies both of these equations?
| `x = -2` | `x = -1` | `x = 1` | `x = 2` |
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Which of these numbers has a 3 in the thousandths place?
| 0.3244 | 2.8309 | 7.8231 | 23 082.8915 |
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Peter is selling tickets for a raffle.
Each ticket costs $1.50.
Peter sells a total of 60 tickets.
How much money does Peter collect for selling the tickets?
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Vivian and Curtly throw a cricket ball from the boundary of the cricket oval to the wicket-keeper.
It takes Vivian's throw 3.48 seconds to reach the wicket-keeper.
It takes Curtly's throw 1.84 seconds.
What is the difference in the time taken to reach the wicket-keeper between the two throws?
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A class of 28 students is surveyed. 21 students said they owned a mobile phone.
What percentage of the students surveyed owned a mobile phone?
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Wooden beams for building house frames can be purchased in a number of lengths.
A hardware store can supply lengths of 850 millimetres, 80 centimetres, 190 centimetres, 0.855 metres and 1.8 metres.
Which wooden beam is the longest?
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850 millimetres |
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80 centimetres |
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190 centimetres |
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0.855 metres |
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1.8 metres |
A high school has 1000 students enrolled.
37 of the 1000 students have the first name John.
Write this as a decimal.
This graph shows a company's profit over a four year period.
Which conclusion can be reached from the graph?
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The profit in Year 2 was one third of the profit in Year 1. |
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The profit fell by 50% from Year 3 to Year 4. |
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The profits were positive in Years 1 and 3, and negative in Years 2 and 4. |
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The profits were greater than $60 000 in the period between Year 1 and Year 4. |
Death Valley is the lowest point in the United States at −85 metres, which is below sea level.
King's Peak, also in the United States, is 4128 metres above sea level.
What is the difference, in metres, between Death Valley and King's Peak?
| 4213 metres | 4203 metres | 4045 metres | 4043 metres |
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Warwick needs to calculate `13 xx 6 + 13 × 4`.
Which expression will give Warwick the same answer?
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`13 xx (6 + 4)` |
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`13 xx (6 + 13)` |
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`(13 xx 2) + (6 xx 4)` |
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`(13 xx 2) + (6 + 4)` |
The running time of a documentary is 157 minutes.
Michael starts watching the documentary at 12:07 pm.
What time will the documentary end in 24-hour time?
| 10:10 | 13:64 | 14:04 | 14:44 | 15:17 |
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Damon buys 25 kilograms of salt for his pool for $33.75.
The salt can be purchased in 1 kilogram bags.
How much does 9 kilograms of salt cost?
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Select the number line that correctly shows the positions of 0.05, 0.655 and 0.55.
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Pete's seafood restaurant took in $7703.40 on New Year's Eve.
Sam's Italian restaurant took in $5091.75 on the same night.
How much more money did Pete's restaurant take in than Sam's on New Year's Eve?
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Sharnie is buying eggs for her restaurant's kitchen.
Each carton contains 12 eggs.
If she needs 90 eggs, how many cartons will she need to buy?
The diameter of the earth is approximately 13 000 kilometres.
Which of these shows 13 000 in scientific notation?
| `1.3 xx 10^3` | `1.3 xx 10^4` | `1.3 xx 10^5` | `1.3 xx 10^6` |
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Bella is an electrician.
She charges $150 to attend a job and then a fixed price for each minute she spends on the job.
The graph below shows Bella's charge based on the number of minutes she spends at the job.
How much will Bella charge for a job that takes 60 minutes?
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Spiro is making a scale drawing of his house.
What does 1 centimetre in Spiro's scale drawing represent in his real house?
| `text(1800 cm)` | `text(200 cm)` | `text(100 cm)` | `text(50 cm)` |
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Which expression is equivalent to `6x + 12`?
| `3(2x + 4)` | `3(2x + 9)` | `6(x + 6)` | `6(x + 12)` |
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A high school has 1000 students enrolled.
37 of the 1000 students have the first name John.
Write this as a decimal.
This graph shows a company's profit over a four year period.
Which conclusion can be reached from the graph?
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The profit in Year 2 was one third of the profit in Year 1. |
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The profit fell by 50% from Year 3 to Year 4. |
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The profits were positive in Years 1 and 3, and negative in Years 2 and 4. |
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The profits were greater than $60 000 in the period between Year 1 and Year 4. |
Cecil is designing a rectangular garden bed for growing vegetables in his yard.
He wants the garden bed to be at least 60 square metres.
He has dug out two sides, each 12.7 metres in length.
What is the smallest possible length of each of the other two sides, rounded to one decimal place?
| `text(4 metres)` | `text(4.7 metres)` | `text(4.8 metres)` | `text(5 metres)` |
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What is the size of the angle marked `x` in the diagram below?
| `text(degrees)` |
Paddy and Miffy each bought potatoes from the local farmers' market.
Paddy bought 2 kilograms for $2.50.
Miffy bought 6 kilograms for $7.50.
Which graph best represents the cost of potatoes at the farmers' market?
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Select the number line that correctly shows the positions of 0.05, 0.655 and 0.55.
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Roger has a 0.95 metre length of wood.
He cuts a 250 millimetre piece off it.
How long is the remaining length of wood?
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Petunia picks a marble from a bag and records its colour before placing it back in the bag.
She repeats this 36 times.
Her results are in the table below.
Using the table, what is the probability that the next marble Petunia picks will be red?
| `1/3` | `1/6` | `1/12` | `1/4` |
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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?
| `100` | `240` | `300` | `1200` |
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Nev spins the arrow 50 times.
Which table is most likely to show the result?
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`text(One strategy:)`
`X\ text{should be worth around 40% (20 spins),}`
`=>\ text(Eliminate the first and last options.)`
`text(The other relative sizes require the answer to be:)`
Anna goes on a trail hike that is 3150 metres long.
Anna makes it to Lookout 2.
What percentage of the trail's total distance is left until she finishes?
| `15.9text(%)` | `18.9text(%)` | `84.1text(%)` | `116text(%)` |
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Harry has an irregularly shaped back yard.
What is the area of Harry's back yard?
| `text(93 m)²` | `text(384 m)²` | `text(544 m)²` | `text(768 m)²` |
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Malcolm leaves his campsite and walks to the lookout.
The diagram shows the routes Malcolm can take and the travel times.
What is the shortest time that Malcolm can get to the lookout?
| `28\ text(minutes)` | `29\ text(minutes)` | `30\ text(minutes)` | `31\ text(minutes)` |
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| `text(Shortest time)` | `= 10 + 5 + 9 + 5` |
| `= 29\ text(minutes)` |
A die in the shape of a rectangular prism has 6 faces with 1 to 6 dots.
Brian throws the die 1000 times to test it and records the outcomes.
What is the probability of throwing a six based on Brian's results?
| `1/6` | `1/40` | `6/25` | `12/500` |
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Grant cut two semicircles from a rectangle to create Shape 1.
He then joins the semicircles to each end of an identical rectangle to create Shape 2.
Which of the following statements is true about Shape 1 and Shape 2?
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They have the same area and the same perimeter. |
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They have different areas and the same perimeter. |
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They have the same area and different perimeters. |
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They have different areas and different perimeters. |
Andre shaded a fraction of a square.
Which picture shows the same fraction shaded?
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Kenny can choose one of the 4 bowls.
He picks one ball from the bowl without looking.
Which bowl gives him the best chance of picking a black ball?
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`text(The chance of choosing a black ball for each option are:)`
`text(Option 1:)\ \ 3/5`
`text(Option 2:)\ \ 2/6=1/3`
`text(Option 3:)\ \ 4/8=1/2`
`text(Option 4:)\ \ 5/10 = 1/2`
`=>\ text(Option 1 gives him the best chance.)`
Which shape has an area of 8 square units?
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| `text(Area)` | `=4 xx 2` |
| `=8\ \ text(square units)` |
Which measurement is equal to 2300 centimetres?
| `0.23\ text(m)` | `2.3\ text(m)` | `23\ text(m)` | `230\ text(m)` |
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Hugo has 151 bottles to throw in empty recycling bins.
He can fit between 31 - 35 bottles in each bin.
How many bins does Hugo need?
| `3` | `4` | `5` | `6` |
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Jenny and John create a 3D shape each.
The total sum of the vertices, edges and faces of Jenny's shape is 26.
What is the total sum of John's shape?
| `12` | `16` | `20` | `24` |
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Megan joined some sticks to clay balls to make the object shown below.
Each stick was 4 centimetres long.
What was the total length of all sticks used to create this object?
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A soccer club orders 60 balls for the new season.
There are 8 teams in the club.
Each team is given 6 balls.
How many balls does the club have left?
Milly opens a hat store.
Each week she sells twice as many hats as the week before.
How many hats will Milly sell in week 7 if this pattern continues?
Archer has blocks with two square faces.
He builds the model below.
What is the height of the model in centimetres?
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Marcel has the six cards pictured below.
Marcel can arrange the six cards into a number sentence that make a total, as shown below.
What is the largest total Marcel can make using all the cards in a number sentence?
Katrina puts some Rubik's cubes and identical bolts end to end.
3 Rubik's cubes are the same length as 4 bolts.
Each Rubik's cube is 8 cm long.
How many centimetres long is each bolt?
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This grid shows the numbers from 1 to 20.
Percy crosses off all multiples of 2.
Penny then crosses off all prime numbers.
How many numbers will still be showing on the grid?
A plan of Gil's back deck is drawn below.
What is the perimeter of Gil's deck?
| `text(32 m)` | `text(58 m)` | `text(60 m)` | `text(64 m)` |
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The cost of bananas is $8.00 per kilogram.
The cost of 10 bananas is closest to
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`$7` |
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`$12` |
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`$15` |
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`$80` |
The value of `39 xx 61` is closest to
| `1800` | `1900` | `2400` | `2500` |
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Pablo cuts a paper rectangle in half.
He then places one half over the other to make a new shape.
What is the perimeter of Pablo's new shape?
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| `22.5 ÷` | `= 2.25` |
A supermarket sells yoghurt in packs.
One pack of yoghurt has 8 tubs.
Each pack cost $6.
What is the highest number of tubs that can be bought for $40?
| `42` | `48` | `52` | `56` | `64` |
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Katrina puts some Rubik's cubes and identical bolts end to end.
3 Rubik's cubes are the same length as 4 bolts.
Each Rubik's cube is 8 cm long.
How many centimetres long is each bolt?
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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?
Manuel makes a cube from the net pictured below.
Manuel then added the numbers on opposite faces of the cube.
What is the greatest possible total that Manuel could get?
Roger makes a 4 digit number from the cards below.
What is the closest number to 5000 that Roger can make?