Aussie Maths & Science Teachers: Save your time with SmarterEd
On a weekend, Karen was asked by her boss to work overtime.
She then worked the following hours:
Karen was paid $261 for that weekend.
What is Karen's normal pay rate?
| $ |
Luke designs a table that is in the shape of a trapezium.
The dimensions of the top of the table in the picture below.
What is the area of Luke's table top?
| cm² |
In a box of 35 chocolates, there is a mixture of dark and milk chocolates.
The ratio of milk chocolates to dark chocolates is 4 to 3.
How many milk chocolates need to be removed so that the ratio is 1 to 1?
In the figure below, the lines `G` and `F` are parallel.
What is the value of `x`°?
| ° |
| `x^@` | `= 108-67` |
| `= 41^@` |
In the figure below, the lines `A` and `B` are parallel.
What is the value of `y`?
| ° |
| `x^@` | `= 36 + 45` |
| `= 81^@` |
100 students in a university were interviewed if they like the subjects Mathematics and Science.
The Venn diagram is missing some information.
How many students like both Maths and Science?
50 students were interviewed if they had a brother or a sister.
The diagram is missing some information.
How many students had a brother only?
A block is in the shape of a prism.
Its surface is covered in triangles.
How many triangles cover the entire surface of the block?
| triangles |
Rica measured the diameter of her bracelet and wedding ring.
One inch equals 25.4 millimetres.
What is the difference in millimetres between the diameters of the two pieces of jewellery?
Give your answer to three decimal places.
| millimetres |
The distance travelled by two rally cars is tested and the results are graphed below.
Car A is slower but its speed is constant throughout the test.
Car B starts at a higher speed and passes the 45 kilometre mark after 15 minutes, but then slows down as the test progresses.
How long after Car B did Car A pass the 45 kilometre mark during the test?
| minutes |
The volume of water going through two pumps is recorded.
The results are graphed below.
Pump A is slower but its performance is constant throughout the test.
Pump B is quicker and pumped 55 litres of water in the first 4 minutes but it slowed down as the test progressed.
How long after Pump B did Pump A deliver 55 litres of water during the test?
| minutes |
Dante’s mobile plan costs $15 per month for calls and texts only.
His mobile provider offers him a special monthly rate to add 6GB of mobile broadband data to his plan.
The total cost of his mobile plan and the extra broadband data is $300 for 12 months.
What is the extra monthly cost of the broadband data?
| $ |
The length of this rectangle is twice its height.
The perimeter of the rectangle is 30 centimetres.
What is the area of the rectangle?
| square centimetres |
Jevin tossed a coin 40 times.
He wrote down if the result was a head or tail each time, and recorded the results in the table below.
What is the difference between the expected number of tails and the actual number recorded?
Gina and Paula have sticker collections.
The total number of their combined stickers is 19.
Gina owns 5 more stickers than Paula.
How many stickers does Gina have?
A survey was conducted that asked children if they were left or right handed and if they played cricket.
The results are shown in the table below.
How many children are right-handed and don't play cricket?
|
|
3 |
|
|
18 |
|
|
27 |
|
|
30 |
|
|
33 |
Kellogg creates a rectangular prism by stacking 8 identical triangular prisms together.
What is the volume of one triangular prism, in cubic centimetres?
cubic centimetres
Ellie creates a rectangular prism by stacking 8 identical triangular prisms together.
What is the volume of one triangular prism, in cubic centimetres?
cubic centimetres
Teslene plans to ride her bike from Burleigh Heads to Noosa in three days.
The ride is 249 kilometres.
On the first day, Teslene rides 85 600 metres to Slacks Creek.
The next day, she rides 76 700 metres to Caboolture.
How many kilometres remain for Teslene to complete this ride?
Give your answer in kilometres, to one decimal place.
| kilometres |
Romy plans to hike from Cronulla Beach to Whale Beach in four days.
The walk is 68 kilometres.
On the first day, she walks 24 500 metres to Surry Hills.
The next day, she walks 17 800 metres to Brookvale.
How many kilometres does Romy have left to complete this hike?
Give your answer in kilometres, to one decimal place.
| kilometres |
Alicia and Renee plan to complete the Very Long Walk from Belmont to Newcastle Beach in three days.
The walk is 35 kilometres in length.
On the first day, they walk 12 400 metres to Dudley.
The next day, they walk 14 900 metres to Burwood.
How many kilometres remain for them to complete this trail?
Give your answer in kilometres, to one decimal place.
| kilometres |
Wentzel is saving up to buy a ferret.
In week 1, he has $17.
He saves the same amount each week going forward.
How much will Wentzel have saved by the end of week 10?
$
Patrick is saving his money to buy a second hand drum kit.
In week 1, he has $9.
Every week after week 1, he contributes the same amount to his saving.
How much will Patrick have saved by the end of week 9?
$
The table shows the distances Marvin runs on four consecutive days.
Every day, Marvin increases the distance he runs by the same amount.
What distance will Marvin run on Saturday?
| km |
The table shows the distances Paulo swims on four different days.
Every day, Paulo increases the distance he swims by the same amount.
What distance will Paulo swim on Tuesday?
| km |
Write a number in the box to make this number sentence true.
| `8 + 5= 10 +` |
Write a number in the box to make this number sentence true.
| `6 + 8= 10 +` |
Write a number in the box to make this number sentence true.
| `9 + 7 = 10 +` |
Chris records the number of items she recycles in one week.
The tally table shows Chris' results.
How many items does Chris recycle in total?
Demeter records the number of items she recycles in one week.
The tally table shows Demeter's results.
How many items does Demeter recycle in total?
Nellie records the number of items she recycles in one week
The tally table shows Nellie's results.
How many items does Nellie recycle in total?
What is the smallest number that can be made using two of these cards?
Write the number in the box below.
What is the largest number that can be made using two of these cards?
Write the number in the box below.
What is the largest number that can be made using two of these cards?
Write the number in the box below.
Students could pick one activity for their sport.
The table below lists the activities and how many students chose them.
Some students changed activities.
The activities now have an equal number of students.
How many students are now in each team?
This is a map of a pathway through Valentine's school.
Valentine walked along the path from the start to the end.
For about how many metres did Valentine walk west?
| metres |
`text(Metres travelled west)`
`= 10 + 15 + 10 + 5`
`= 40\ text(m)`
Jonah's soccer team got oranges at half time.
The quarters of oranges were put in a container.
How many whole oranges were cut into quarters and put in the container?
Joe put half of the apples in his fridge.
How many apples did Joe put in his fridge?
Emma and Tulip both competed in the shot put at their school's athletics carnival.
Emma's best throw was 7.34 metres.
Tulip's best throw was 6.56 metres.
What was the difference, in centimetres, between their best throws?
| centimetres |
| ` -\ 47 + 29 = 51` |
Barney has blocks with two square faces.
He builds the model below.
What is the height of the model in centimetres?
| centimetres |
In a card game, Herbert gets 4 cards and earn points.
Each white triangle is worth double the points of each black triangle.
How many points is a white triangle worth?
`text(Herbert’s hand is worth the same as having)`
`text(5 black triangles.)`
| `5 xx` |  |
`= 60` |
| |
`= 60 ÷ 5` | |
| `= 12` |
| `:.\ \ ` |  |
`= 2 xx 12` |
| `= 24` |
Heston used 500 grams of sugar to make 16 cookies.
How many grams of sugar will he need to make 24 cookies?
| grams |
| `400 ÷` | `= 80` |
| `300 ÷` | `= 60` |
Dean has the six cards pictured below
Dean can arrange the six cards into a number sentence that make a total, as shown below.
What is the largest total Dean can make using all the cards in a number sentence?
Lawson has the six cards pictured below
Lawson can arrange the six cards into a number sentence that make a total, as shown below.
What is the largest total Lawson can make using all the cards in a number sentence?
Buggsy stands on a box and his new height is 2.1 metres.
Buggsy's actual height is twice that of the box.
What is Buggsy's height in centimetres?
| centimetres |
Lucy sees this signpost at Snoopy World.
How many metres is it from the car park to Linus Lane?
| metres |
Grant takes 15 minutes to walk to the beach for board training.
Last week he arrived at training at 4:05 pm, which was 25 minutes late.
At what time would Grant leave home to arrive at board training on time?
| pm |
Murray sells sausage rolls for $1.50 each.
Murray sells a total of 60 sausage rolls.
How much money does Murray collect for selling the sausage rolls?
| $ |
Barry is selling pies.
Each pie costs $2.50.
Barry sells a total of 50 pies.
How much money does Barry collect for selling the pies?
| $ |
Bonnie earned $4 each time she fed her neighbour's horses when they were on holidays.
In Summer, she fed the horses 7 times each week for 4 weeks in a row.
How much money did Bonnie earn during this time?
| $ |
Eli earned $12 each time he mowed a lawn in his neighbourhood.
Eli mowed 5 different lawns 2 times each.
How much money did Eli earn?
| $ |
Felicity uses balls and sticks to make a model of a triangular prism.
Each stick is the same length.
Felicity is given 2 more balls to change her model into a cube.
How many more sticks will Felicity need to make the cube?
| more sticks |
`text(Felicity will need 3 more sticks)`
`text{(a total of 12)}`
Rashid uses balls and sticks to make a model of a triangular pyramid.
Each stick is the same length.
Rashid is given 4 more balls to change his model into a cube.
How many more sticks will Rashid need to make the cube?
| more sticks |
`text(Rashid will need 6 more sticks.)`
`text{(a total of 12)}`
During the week, a book shop sells a best seller novel for $38.
On the weekend, the cost of the best seller novel is discounted by 25%.
How much will the best seller novel cost on the weekend?
| $ |
Martin looks at an eye chart.
He looks at the angles within each letter on this eye chart.
How many of the angles are less than a right angle?
`text(The angles less than 90° are:)`
`:. 14\ text(angles)`
Candice goes for a run. The exact distance she runs is ten thousand, one hundred and eight metres.
Write this as a numbers in the box below:
| metres |
In one year, a workshop makes thirteen thousand, two hundred and seven hammers.
Write this as a number in the box below:
| hammers |