Aussie Maths & Science Teachers: Save your time with SmarterEd
Which statement is always true?
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Scalene triangles have two angles that are equal. |
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The diagonals of a rectangle are perpendicular. |
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The diagonals of a rhombus bisect each other. |
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The opposite angles of a kite are equal in size. |
`text(The diagonals of a rhombus bisect each other.)`
The sand in an egg timer takes 3 minutes to completely flow through.
The egg timer contains 145 grams of sand.
Each millilitre of sand weighs 1.25 grams.
How many millilitres of sand flow through the egg timer per minute?
| `3.8` | `14.5` | `38.7` | `181.3` |
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The cost of hiring a stand-up paddle board for `d` days is
`text(Hire cost) = 25 + 12.5d`
If Mick has $250 to spend, what is the maximum number of days he can hire the board for?
| `20` | `18` | `16` | `10` |
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Which of the following has the same value as `a^(−2)`?
| `1/(−a^2)` | `−2 xx a` | `−a^2` | `1/(a^2)` |
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Rearrange the equation `6y + 7 = x` so that `y` is the subject.
Which of these correctly gives `y` as the subject?
| `y = (x - 7)/6` | `y = (x + 7)/6` | `y = 6x - 7` | `y = 6x + 7` |
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Heyzeus is facing west. He turns 120° clockwise.
Heyzeus then turns anticlockwise until he faces south.
By how many degrees did Heyzeus turn anticlockwise?
| `30^@` | `150^@` | `210^@` | `300^@` |
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`text(Degrees in 2nd turn anticlockwise)`
`= 120 + 90`
`= 210^@`
Paisley needs to choose a shape that has at least one pair of parallel sides and one internal reflex angle.
Which of these can Paisley choose?
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`text(Testing each shape for both conditions:)`
`text(Option 3 satisfies.)`
`text{(Note option 4 has 2 internal reflex angles.)`
Mo and Curly are saving money for a holiday.
If Mo saves an extra $15, he will have saved half as much as Curly.
Which row of the table shows how much money they could have saved?
| Curly | Mo | |
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$30 | $15 |
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$35 | $20 |
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$50 | $20 |
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$60 | $15 |
Triangle `PQR` is an isosceles triangle.
What is the size of the angle `/_ PQR?`
| `32^@` | `37^@` | `45^@` | `74^@` |
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A rodeo starts at 10:10 am and goes for 123 minutes.
What time does it finish?
| `text(12:13 am)` | `text(12:13 pm)` | `text(11:33 am)` | `text(11:33 pm)` |
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`8^3` is equal to which of the following?
| `16^3 ÷ 4` | `4^2 xx 2 xx 2` | `8 xx 4 xx 2 xx 4 xx 2` | `3 xx 8 xx 8 xx 8` |
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A lizard enclosure contains 9 chameleons and 17 blue-tongue lizards.
Approximately what percentage of the lizards are blue-tongue?
| `text(17%)` | `text(35%)` | `text(53%)` | `text(65%)` |
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One billion is one thousand million.
Which of the following is 300 billion?
| `3.0 xx 10^14` | `3.0 xx 10^11` | `3.0 xx 10^8` | `3.0 xx 10^7` |
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What is the value of `(80.3 + 16.28)/(7.1 xx 1.8)`
| `6.4` | `7.6` | `20.4` | `24.5` |
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A woomera can throw a spear at a speed of 75 metres per second.
What is the speed of the spear in metres per minute?
| `7500` | `4500` | `1.25` | `0.75` |
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`y = 3x^2 - 4`
What is the value of `y` when `x = 2.5?`
| `3.5` | `11.0` | `14.75` | `52.25` |
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Which of the following is best measured in kilograms?
| `text(potatoes)` | `text(feathers)` | `text(medicine)` | `text(milk)` |
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Boort made this 3D object using 32 small cubes.
Which of these has a volume half that of Boort's object?
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`text(There are 16 cubes in:)`
Magnolia and Talia hold retreats on their respective properties. The size of each property is shown in the table below:
What is the ratio of the land area of Magnolia's property to Talia's property.
| `2:1` | `25:1` | `50:1` | `250:1` | `5000:1` |
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Ben bought a dog mat with an area of 0.5 square metres.
What is the area of the dog mat in square centimetres?
| `2.5\ text(cm²)` | `5\ text(cm²)` | `500\ text(cm²)` | `5000\ text(cm²)` | `25\ 000\ text(cm²)` |
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Jazzerus wants to multiply `15 xx 74`.
Which of these expressions will give Jazzerus the correct answer?
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`(10 xx 70) + (5 xx 4)` |
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`(10 xx 4) + (70 xx 5)` |
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`(10 xx 70) + (10 xx 4) + (70 xx 5)` |
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`(10 xx 74) + (5 xx 74)` |
Kukka has run `7/8` of her first park run.
Which decimal shows how much of the run Kukka has completed?
| `0.560` | `0.850` | `0.875` | `0.925` | `1.25` |
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Sadie has 9 cups of raisins. A cupcake recipe uses `3/4` of a cup of raisins in each cupcake.
What is the greatest number of cupcakes Sadie can make?
| `6` | `7` | `9` | `11` | `12` |
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Which of the following is always equal to `-p + q`?
| `q - (−p)` | `−q + p` | `-q - p` | `q - p` |
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A group of 85 people were asked if they have their ears pierced.
This table shows the results.
A man was selected at random.
What is the probability that he does not have his ears pierced?
| `0.29` | `0.41` | `0.47` | `0.71` |
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The square `ABCD` is cut into two triangles along the diagonal `AD`.
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Triangle `ABD` is a scalene triangle. |
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Triangle `ABD` is an isosceles triangle. |
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Triangle `ABD` is an equilateral triangle. |
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Triangle `ABD` is an obtuse triangle. |
`Delta\ ABD\ text(is an isosceles triangle.)`
`text(Note:)\ AD\ text(is larger than)\ AB`
The median mass of a group of emperor penguins at the zoo is 23 kg.
The mean mass of the same group is 25 kg.
If a new 29 kg penguin joins the group, which of these is possible?
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The mean mass stays the same and the median mass decreases. |
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The mean mass stays the same and the median mass increases. |
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The mean mass decreases and the median mass increases. |
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The mean mass increases and the median mass stays the same. |
This triangle is reflected across the dotted line and then rotated 270° anti-clockwise.
What is the resulting image of the triangle?
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`text(After reflection across the dotted line,)`
`text(After)\ 270^@\ text(rotation anti-clockwise)`
Xavier draws a scale map of Australia on a coordinate grid.
He knows that the actual distance between Arno Bay and Sydney is 1782 kilometres.
Which scale value should Xavier use for his map?
| `300\ text(km)` | `500\ text(km)` | `550\ text(km)` | `600\ text(km)` |
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Two fair 50 cent coins are tossed at the same time.
What is the probability that a head and a tail will result?
| `1/6` | `1/4` | `1/3` | `1/2` |
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Ryan and Oliver breed hamsters.
Each counts the number they have and Ryan has 2 times as many as Oliver plus another 7.
Let `h` be the number of hamsters Oliver has.
Which expression represents the number of hamsters Ryan has?
| `7 - (h ÷ 2)` | `(h ÷ 2) xx 7` | `2 + (7 xx h)` | `(2 xx h) + 7` |
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Dave and Helena were running a half marathon.
Dave had completed `4/5` of the distance.
Helena was closer to the finish line than Dave.
What fraction of the race could Helena have completed?
| `3/4` | `5/7` | `5/6` | `8/10` |
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A micro-organism has a diameter of 0.0008 mm.
Which number below shows this diameter written in scientific notation?
| `8.0 xx 10^(-4)` | `8.0 xx 10^(-3)` | `8.0 xx 10^3` | `8.0 xx 10^4` |
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Rod is mowing a lawn in the shape of a parallelogram.
What is the perimeter of the mown lawn?
| `90\ text(m)` | `180\ text(m)` | `900\ text(m)` | `2000\ text(m)` |
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Marigold strikes a tennis ball 1 metre above ground level and lobs the ball over her opponent.
The tennis ball reaches a maximum height of 3 metres and lands 2 seconds after being hit.
Which graph represents the path of Marigold's tennis ball?
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Saffron joins a yoga studio with a weekly fee of $23.
She can pay an extra $32 on any visit for a personal session.
Which expression represents Saffron's total weekly cost if she does `n` personal sessions in a week?
| `23n + 32` | `23 + 32n` | `32n` | `23n` |
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Willow placed the foot of her ladder 2.5 metres from the base of the wall.
The ratio of the vertical height of the ladder to its distance from the wall on the ground is 6:1.
What is the vertical height of the ladder?
| `text(6 metres)` | `text(9 metres)` | `text(15 metres)` | `text(30 metres)` |
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Point `P` is translated to the left 3 units.
What are the coordinates of the new position of point `P`?
| `(1, 6)` | `(−2, 3)` | `(4, 3)` | `(1, 0)` |
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`(−2, 3)`
Dusty wants to find the number of people who play soccer but do not play Aussie rules.
Which shaded region in the Venn diagrams represents the information Dusty is looking for?
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Laken measures the height of his basketball hoop to be 3 metres and 16 centimetres .
Which answer below shows how Laken can also write this measurement in metres?
| 3.016 m | 3.1 m | 3.16 m | 4.016 m |
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A candy store sells lollipops in bags of six.
For a party, 30 lollipops are needed.
How many bags of lollipops are needed?
| `5` | `6` | `36` | `180` |
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A Cartesian plane is shown.
Select the correct statement below.
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`A` is located where `x > 0` and `y = 0.` |
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`B` is located where `x >0` and `y < 0.` |
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`C` is located where `x < 0` and `y < 0.` |
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`D` is located where `x < 0` and `y > 0.` |
A supermarket sells four sizes of chocolate bar.
Which chocolate bar costs the least per gram?
| `text(Bar 1)` | `text(Bar 2)` | `text(Bar 3)` | `text(Bar 4)` |
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Angelica made a dot plot to show the distances she has run in her training for a marathon.
What is the range of the distances Angelica has run?
| `3` | `7` | `21` | `24` |
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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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`/_ EPB and /_ EPA` |
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`/_ CQE and /_ APF` |
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`/_ FQD and /_ FQC` |
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`/_ CQE and /_ FPB` |
`/_ CQE = /_ FPB`
`text{(Alternate angles)}`
Cedar surveyed 42 families about what brand of car they own.
The Venn diagram shows the results.
What is the probability that a family randomly selected from the group owns both a Toyota and a VW, rounded to three decimal places?
| `0.381` | `0.310` | `0.231` | `0.167` | `0.143` |
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A child's bicycle wheel has a radius of 260 mm.
The wheel turns 8 times.
Approximately how many metres has the bicycle travelled?
| `text(4 m)` | `text(7 m)` | `text(13 m)` | `text(131 m)` |
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Jarren is buying a spare tyre for his car.
The table below lists the original price and the amount of discount of a single tyre at four different tyre retailers.
Which shop has the lowest sale price for the tyre?
| `text(A)` | `text(B)` | `text(C)` | `text(D)` |
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Om is using a vegetarian recipe that uses 3 cups of brown rice for every 2 cups of dates.
Select the correct combination of brown rice and dates.
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`4` cups of brown rice, `3` cups of dates |
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`2` cups of brown rice, `1` cup of dates |
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`1/3` cup of brown rice, `1/2` cup of dates |
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`1.5` cups of brown rice, `1` cup of dates |
A corner store sells hamburgers for $7 and milkshakes for $5 each.
Gia wrote the equation `5h + 7m = 70` to calculate the number of hamburgers and milkshakes she could buy for exactly $70.
How many hamburgers and milkshakes did Gia buy for $70?
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3 hamburgers and 8 milkshakes |
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5 hamburgers and 7 milkshakes |
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7 hamburgers and 5 milkshakes |
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10 hamburgers and 14 milkshakes |
Keenak spins the arrow on a chocolate wheel to win an amount of money.
The arrow has an equal chance of landing on each section.
What is the probability that Keenak will win more than $50?
| `0.125` | `0.15` | `0.25` | `0.375` | `0.625` |
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A nursery sells potting mix in two sizes.
A 30 kilogram bag costs $5.50 and a 60 kilogram bag costs $11.00.
Which graph could show the relationship between the amount of potting mix and its cost?
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Ben's receipt from Newy Burger was torn and part of it was thrown in the rubbish.
He knew:
His credit card statement showed that he spent $92.70 at Newy Burger.
About how much did the Pasha Bulker cost?
| `$8` | `$21` | `$25` | `$73` |
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Misty has 5 cups of pumpkin seeds.
She uses `2 1/2` cups of pumpkin seeds for one recipe and gives `3/4` cup to a friend.
How many cups of pumpkin seeds does Misty have left?
| `1 3/4` | `2 1/2` | `2 3/4` | `8 1/4` |
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Rex arrived at school at 8:05 in the morning and did not leave until 3:25 in the afternoon.
How long was Rex at school?
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4 hours 40 minutes |
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5 hours 20 minutes |
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6 hours 40 minutes |
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7 hours 20 minutes |
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11 hours 30 minutes |
What is the value of the expression `7 + (-18) - (-3)?`
| `-14` | `-8` | `22` | `28` |
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On Farmer Jim's property, he allocates 2 acres of land to one cow.
How many cows would Farmer Jim allocate to a 12 acre paddock?
| `6` | `10` | `12` | `24` |
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Which of the following is equal to 48?
| `2^2 xx 2^3` | `2^2 xx 4^2` | `2^2 + 2^3` | `2^4 + 2^5` |
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