Aussie Maths & Science Teachers: Save your time with SmarterEd
Noel uses the number sentence `14 xx 7 = 98` to solve a problem.
Which problem could he solve with this number sentence?
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Noel has 14 pens and gives 7 to his friends. |
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Noel has 14 pens and shared them equally with 7 of his friends. |
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Noel has 14 pens and gets 7 more. |
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Noel has 14 friends and buys 7 pens for each friend. |
This scale is balanced.
What is the weight of the smaller ball?
| grams |
This scale is balanced.
What is the unknown weight of the shape?
| kg |
Some students were asked to name their favourite colour.
Their responses are in the table below.
In total, how many students were asked?
Some students were asked to name their favourite food.
The table below shows their responses.
In total, how many students were asked?
Ginger was given these notes on her birthday.
In total, how much did Ginger receive?
| $ |
The product of three different positive whole numbers is 48.
What is the smallest possible sum of the three different numbers?
The product of three different positive whole numbers is 60.
What is smallest possible sum of the three different numbers?
A 5-cent coin has a mass of 3.1 grams.
A 20-cent coin has a mass of 5.3 grams.
Jonathan has 198.4 grams of 5-cent coins.
Kevin has 964.6 grams of 20-cent coins.
How much more worth of coins does Kevin have than Jonathan, in cents?
$
A 10-cent coin has a mass of 6.2 grams.
A 5-cent coin has a mass of 2.9 grams.
Rico has 347.2 grams of 10-cent coins.
Jester has 301.6 grams of 5-cent coins.
How much more worth of coins does Rico have than Jester, in cents?
A 50-cent coin has a mass of 14.65 grams.
A 20-cent coin has a mass of 12.1 grams.
Karen has 307.65 grams of 50-cent coins.
Shyla has 508.2 grams of 20-cent coins.
How much more worth of coins does Karen have than Shyla?
$
A 20-cent coin has a mass of 12.5 grams.
A 5-cent coin has a mass of 2.9 grams.
Harold has 487.5 grams of 20-cent coins.
Rick has 179.8 grams of 5-cent coins.
How much more worth of coins does Harold have than Rick, in cents?
cents
Over a week, a pensioner drove the following distances, in kilometres, in her car.
12, 18, 11, 9, 13, 16, 12
What is his mean distance travelled in the car each day over the week?
A spinning wheel is divided into 56 equal sectors that are coloured either red or blue.
Chablis spins the wheel and has a 1 in 8 chance of landing in a sector coloured red.
How many blue sectors are there on the spinning wheel?
Harley has bag that contains 32 balls that are coloured either black or white.
Harley chose a ball without looking and had the chance of 3 in 8 of choosing a white ball.
How many black balls are in Harley's bag?
Alejandro makes sangria for his Spanish restaurant.
A glass of sangria has a mass of 240 grams and contains 120 millilitres of sangria.
What is the total mass of glasses that contain 3.6 litres of sangria?
kilograms
Fillon produces fresh milk.
A bottle of milk contains 500 millilitres and has a mass of 600 grams.
How many litres of milk has Fillon produced if the bottles have a total mass of 15 kilograms?
litres
A scale diagram is shown below and represents the distances between 3 cities.
The distance from City A to City B is 84 kilometres.
What is the distance from City B to City C?
kilometres
The ports A, B, and C are marked in the scale diagram below.
The distance from Port A to Port B is 35 kilometres.
What is the distance from Port B to Port C?
kilometres
In a bulk food supermarket, a kilogram of pepper costs $14.
Nancy bought 2.65 kilograms of pepper for her restaurant.
How much did Nancy pay for the pepper?
| $ |
A kilogram of apples cost $8.
Danica bought 6.35 kilograms of apples.
How much did Danica pay for the apples?
| $ |
Timothy sketched a plot of land with the following measurements in metres.
What is the area of the land in square metres?
| square metres |
`text(Divide the shape into 3 parts:)`
| `text(Total Area)` | `=\ text(Area 1 + Area 2 + Area 3)` |
| `= (15 xx 12) + (23 xx 10) + (1/2 xx 11 xx 14)` | |
| `= 180 + 230 + 77` | |
| `= 487\ text(m)²` |
Hana sketches a shape with the following measurements in centimetres.
What is the area of the shape sketched by Hana?
| square centimetres |
`text(Divide the shape into two parts.)`
| `text(Total Area)` | `=\ text(Area of triangle + Area of rectangle)` |
| `= (1/2 xx 4 xx 9) + (8 xx 9)` | |
| `= 18 + 72` | |
| `= 90\ text(cm)²` |
Justin went to a lolly shop to buy some sweets and spent $12.
He bought a chocolate bar that cost $5 and 7 pieces of liquorice that cost 40 cents each.
The rest of his money was spent on musk sticks that costs $0.30 each.
How many musk sticks did he buy?
Joanna went to the supermarket and spent $52.
She bought $15 worth of meat, 10 energy drinks costing $1.90 each and some bottles of water that cost $1.20 each.
How many bottles of water did she buy?
Shawn has a bag that holds one blue ball, one red ball and one green ball.
Shawn picks one ball without looking, records its colour and puts it back in the bag.
He repeated this process 60 times and summarises the results in the table below.
What is the difference between the expected and actual number of red balls picked?
Elaine rolled a regular die 100 times.
She recorded if an even or odd number appeared each time.
The table below represents the recorded data.
What is the difference between the expected number of odd rolls to the actual odd rolls recorded?
Martin has a piece of wire that measures 1.32 metres.
He cuts off a 470 millimetre piece of it.
How long is the remaining wire in millimetres?
mm
Henry is 175 centimetre tall.
He stands on top of a 425 millimetres chair.
How tall is Henry now in centimetres?
cm
Noel has a bowl full of red chewing gum balls and blue chewing gum balls.
The chance of randomly picking a red chewing gum ball is 85%.
What is the probability of randomly picking a blue chewing gum ball?
| % |
Tristan's laundry has a lost clothing basket that contains only black and white socks.
The probability of randomly picking a black sock from the basket is 35%.
What is the probability of randomly picking a white sock?
| % |
Karl picked 102 apples from his family orchard and packed them into small boxes.
Each box can hold 12 apples.
What is the smallest number of boxes Karl needs to make sure all the apples are packed?
George has 84 toys in his collection.
He wanted to pack them into containers which can hold 5 toys each.
What is the smallest number of containers George needs to make sure all the toys are packed away?
Catherine owns a walk-in wardrobe with 13 different types of bags.
There are the same number of bags of each type.
She has a total of 65 bags.
How many bags of each type does she have?
Richard has a bookshelf that he splits into 8 different categories.
He has a total of 152 books.
He has the same number of books in each category.
How many books in each category does he own?
A rectangular building has a perimeter of is 300 m.
What is the value of the width `x`?
metres
The perimeter of a rectangular box is 130 m.
What is the value of the width `x`?
metres
Eisha won a jar of candy with 366 pieces of candy in it at her school fete.
She gave a hand full each to five of her friends.
Eisha then counted the remaining candy and found she had 232 pieces left.
How many pieces of candy did Eisha give to her friends?
Jason bought 325 eggs from the market.
When he was driving home, he had an accident and some of the eggs broke.
He counted that there were 241 eggs without any cracks.
How many eggs broke?
The tallest living giraffe is measured at five thousand, seven hundred and eight millimetres tall.
Write this as a number in the box below
millimetres
The exact length of great white shark is measured as five thousand and ninety six millimetres.
Write this as a number in the box below
millimetres
What is the highest number that can be made using two of these cards?
Write the number in the box below.
What is the smallest number that can be made using two of these cards?
Write the number in the box.
The scales below are evenly balanced.
What is the mass of the small cube?
| grams |
The scales below are evenly balanced.
What is the mass of the small cube?
| grams |
The scale pictured below is balanced.
What is the weight of the cube?
| grams |
The scale pictured below is balanced.
What is the weight of the rounded figure?
| kilograms |
In a school, a group of students were given a list of 4 subjects and asked to pick their favourite.
A table of their responses is shown below.
How many students were asked this question altogether?
Some people were asked which type of music they like to listen to most.
The table below shows their responses.
In total, how many people were asked which type of music they like?
In a class of 36 students, a survey was conducted and each of the students was asked if they own a bicycle.
If `2/3` of the students answered yes, how many students own a bicycle?
A lemonade stand is located in a market.
The table below shows the number of lemonade cups sold by the stand over 5 days.
The price of each cup of lemonade is $2.50.
What is the mean earnings of the lemonade stand per day?
| $ |
The prices at a boutique burger shop can be seen below.
Each extra patty in the burger costs the same amount of money.
How much will a burger with 4 patties cost?
| $ |
The prices of extra large family pizzas can be seen below.
Each extra topping on the pizza costs the same amount of money.
How much will a pizza with 4 toppings cost?
| $ |
There are 10 balls in a box numbered from 1 to 10.
The probability of choosing a number higher than 6 is 40%.
What is the probability to get a number less than or equal to 6?
| % |
Elsa wants to bake some cookies.
She needs the following 4 ingredients: flour, milk, egg, and butter.
She makes 250 grams of cookie dough and weighs each ingredient as follows:
How many grams of eggs are needed to make the 250 grams of cookie dough?
| grams |
A zoologist records the number of eggs laid by 3 birds and the percentage of those bird eggs that hatched.
What percentage of the eggs from all 3 birds hatched?
| % |
A cube has a surface area of 384 square centimetres.
What is the volume of the cube?
| cubic centimetres |
A professional darts player throws darts at a circular board that is divided into 4 sections.
He records which section he hits each time and the results are summarised in the table below.
Based on Robert’s data, what is the probability that his next throw will land in section 2 or 3?
Express your answer as a percentage rounded to the nearest tenth.
| % |
Robert throws darts at a circular board that is divided into 4 sections.
He records which section he hits each time and the results are summarised in the table below.
Based on Robert’s data, what is the probability that his next throw will land in section 1 or 2?
Express your answer as a percentage rounded to the nearest tenth.
| % |
