Brendan bought 6 stamps for \$24. Find the price of:
1 stamp
2 stamps
Neil bought 18 stamps for \$198. Find the price of:
1 stamp
6 stamps
Neil can walk 7 dogs individually in 49 minutes.
How long would it take for him to walk 1 dog?
How long would it take him to walk 60 dogs?
Luke can fill 10 buckets with dirt in 30 minutes.
How long would it take for him to fill 1 bucket?
How long would it take him to fill 40 buckets?
4 workers can build 10 bookcases in 15 minutes.
How long would it take for one worker to build 10 bookcases?
How long would it take for three workers to build the same number of bookcases?
3 workers can build 5 tables in 8 minutes.
How long would it take for 1 worker to build 5 tables?
How long would it take for 2 workers to build the same number of tables?
4 workers can build 10 bicycles in 21 minutes.
How long would it take for 1 worker to build 10 bicycles?
How long would it take for 3 workers to build the same number of bicycles?
It takes Dave 2 hours to make a bedframe, while it takes Mae 3 hours to make a bedframe.
How many bedframes would Dave be able to make in 6 hours?
How many bedframes would Mae be able to make in 6 hours?
If they work together, how many bedframes would they make in 6 hours?
Hence, how long will it take them to make one bedframe in hours?
It takes Luke 3 hours to make a stool, while it takes Christa 5 hours to make a stool.
How many stools would Luke be able to make in 15 hours?
How many stools would Christa be able to make in 15 hours?
If they work together, how many stools would they make in 15 hours?
Find the fraction of a stool the two of them will make in 1 hour.
How long will it take Luke and Christa to make one complete stool together?
Sally can vacuum 3 rugs in 15 minutes and squeeze 6 oranges in 24 minutes.
How long does it take to vacuum 1 rug?
How long does it take to squeeze 1 orange?
How long would it take for Sally to vacuum 8 rugs and squeeze 12 oranges?
Max is making a fruit smoothie. The amount of bananas and strawberries he uses is in the ratio 7:8.
If he uses 4 strawberries, how many bananas will he need to use?
Find the number of bananas per strawberry used.
It requires approximately 8\text{ mL} of polyethylene to create 20 plastic bags.
What is the rate of polyethylene used per plastic bag?
How much polyethylene would be required to create 5 plastic bags?
3.1\text{ kg} of pears cost \$7.13. How much would 1.5\text{ kg} cost?
A quad bike travels 3.4\text{ km} in 17 minutes at a constant speed. How long would it take to travel 1.8\text{ km}?
A boat can travel 35.75\text{ km} on 16.25\text{ L} of petrol. How much petrol will it need to go \\ 34.32\text{ km}?
4.2\text{ kg} of pears cost \$7.14. How many kilograms of pears can you purchase with \$6.46?
A racing bike travels 2.8\text{ km} in 14 minutes at a constant speed. How far would it travel in 1.3 hours?
\$7.90 pays for 3 hours of parking. How long can you park for with \$15.80?
Bevan walks at an average speed of 4 \text{ km/hr} while checking the fence around his farm. The farm is square in shape and has a side length of 16\text{ km}. How long will it take Bevan to check the entire fence?
If 172\text{ mL} of a medicine must be mixed with 400\text{ mL} of water. If (1\text{ ounce}= 0.0338\text{ mL}), how many millilitres of this medicine can be mixed with 1593\, ounces of water? Round your answer to the nearest millilitre.
Lisa had to empty her swimming pool to remove broken glass that fell into it. If her hose fills at a rate of 3000\text{ L} per hour, how long will it take Lisa to fill her 30\,000\text{ L} pool?
Emma needs to paint the walls of her warehouse, which has a total area of 192 \text{ m}^2. The paint she has chosen comes in cans which are 4 litres in size. One litre of paint covers 12 \text{ m}^2. How many cans does she need to buy for one coat of her warehouse?
Blackbird taxis charge \$1.25/\text{km} while Suber charges \$1.17/\text{km}. How much do you save using Suber if you travel 10\text{ km}?
Carl drives a Ford Focus that has a 40\text{ L} petrol tank and has run out of petrol. If the petrol price is \$1.19 per litre, how much will it cost Carl to fill up the petrol tank?
Dave compares the fuel consumption rates of two similar 2018 model Holden Commodores. One has a 4 cylinder engine while the other has a 6 cylinder engine. Both are automatic sedans with the same fuel tank capacity of 61 litres. The following table shows the fuel consumption rate \left(\text{L} \text{ per } 100\text{ km} \right):
| Engine size | Combined | Urban | Extra urban |
|---|---|---|---|
| 4 \text{ cylinder} | 7.8 | 9.5 | 6.2 |
| 6 \text{ cylinder} | 8.8 | 12 | 7.1 |
If the price of fuel is 122.9 cents per litre, what is the cost of completely filling the tank for each car?
Using the extra urban fuel consumption rate, work out how far each car can travel on a full tank of fuel. Round your answers to the nearest kilometre.
4 cylinder
6 cylinder
If Dave drives 19\,000\text{ km} per year and the average price of fuel is 122.9 cents per litre, calculate the annual cost of fuel for each vehicle. Round your answer to the nearest dollar.
4 cylinder
6 cylinder
American football is played on a field that is 120 yards long and 53 yards wide, while rugby league is played on a field measuring 119\text{ m} \times 68 \text{ m}. (1\text{ yard} = 0.9144\text{ m})
What percentage of the rugby league field is used for the American football field? Round your answer to one decimal place.
A line marksman can mark the lines on a field at a rate of 4 metres per minute. How many hours will it take him to mark out the external perimeter of a rugby league field? Round your answer to one decimal place.
While filling a pool 72 centimetres deep, Victoria notices it has taken 3 hours to fill it up to a depth of 36 centimetres.
At what rate, in metres per hour, is the pool being filled up?
At this rate, Victoria estimates that it will take her 6 hours to fill up the pool. Is she correct?
If you prebook a taxi, you have to pay a booking fee of \$2.20 on top of the taxi fare charged; whereas if you simply flag a taxi down on the street you pay a flat fee of \$1.50. In addition to this, any taxi from the airport charges a special airport fee of \$4.30. Taxis from MagicTaxis charge a rate of \$0.75 per kilometre around town regardless of the time taken to get there.
How much does a person who gets a prebooked taxi from the airport for a 35\text{ km} trip have to pay?
How much does a student who flags a taxi down for a short trip home of 11\text{ km} have to pay?
How much does a family which prebooks a taxi to take them to the airport for a 12\text{ km} trip have to pay?
Consider the following phone plans:
| Zodaphone | Optas | Teltra | Virgon mobile | |
|---|---|---|---|---|
| \text{Price per month} | \$19 | \$19 | \$20 | \$19 |
| \text{Minimum cost} \\ \text{for } 24 \text{ months} | \$456 | \$456 | \$480 | \$456 |
| \text{Included value} | \$70 | \$180 | \$20 | \$700 |
| \text{Data} | 100\text{ MB} | 200\text{ MB} | 2250\text{ MB} | |
| \text{National} \\ \text{call rate} | 98\text{c/min} | 90\text{c/min} | 94\text{c/min} | 99\text{c/min} |
| \text{Flagfall} | 40\text{c} | 35\text{c} | 27\text{c} | 40\text{c} |
| \text{Standard} \\ \text{text rate} | 30\text{c each} | 25\text{c each} | 25\text{c each} | 45\text{c each} |
| \text{Standard MMS} \\ \text{(photos) rate} | 55\text{c each} | 50\text{c each} | 50\text{c each} | 60\text{c each} |
| \text{Excess data} \\ \text{usage} | 25\text{c/MB} | 50\text{c/MB} | 10\text{c/MB} | 20.5\text{c/MB} |
Calculate the cost of a call with a duration of 6 minutes and 19 seconds on the plan with:
Zodafone
Optas
Teltra
Virgon
Suppose the included value of each plan has been used up for the month. Which plan would then be the most cost-effective for calls with durations of 6 minutes and 19 seconds?
A process worker earns \$3 for each article assembled. Calculate the number of articles he has to assemble to earn \$120.
Calculate the total allowance for the following workers:
A worker receives an allowance of \$0.50 per hour for performing unpleasant work. He works 37 hours.
A worker receives a dust allowance of 90 cents per hour and a hot work allowance of 60 cents per hour. He works 38 hours.
A miner receives allowances of \$1.40 per hour for working in confined spaces, 70 cents per hour for being exposed to potentially toxic substances during work, and 80 cents per hour for the noise caused by general mining operations. He works 38 hours.
Find the weekly wage for the following scenarios. Assume that there are 52 weeks in a year.
Christa earns \$21 per hour working as a receptionist. She works 19 hours per week.
Marge works for 20 hours each week at a part-time rate of \$19/hour and also does a 6-hour Sunday shift at time-and-a-half.
Michael's annual salary is \$73\,398.
Sarah's monthly income is \$1586.
Neil, a miner, is paid \$25 per hour. He earns an extra \$5 per hour when working underground. Calculate his weekly wage if he works for 39 hours, 15 of which were underground.
A job ad specifies that the successful applicant will earn \$20 per hour, and will work 35 hours per week. Calculate the annual income. Assume that there are 52 weeks in a year.
During the month of August, Amelia has a job pruning grape vines. She prunes at a rate of 47 vines per hour. Amelia worked 191 hours over the entire month and earned a total of \$5565.74. Calculate Amelia's piecework rate per vine.
A certain taxi cab company charges \$5.50 per minute, plus a \$9.00 booking fee. What would be the cost of a 20 minute trip?
Zuber is a taxi service that charges a \$1.80 pick-up fee and \$1.25 per kilometre of travel. What is the total charge for a 10\text{ km} journey?
Alan is paid according to a flat daily wage. If he earned \$2910 in September, when he worked for 20 days, how much would he earn in October if he works for 22 days?
Pauline earns \$178.97 in 11 hours. How much will she earn in 19 hours?
Neil works from 10 am to 3 pm, Monday to Friday, and from 8 am to 4 pm, on weekends. His weekly income is \$1927.
How many hours does Neil work per week?
Calculate his hourly rate.
A fitness club charges a membership fee of \$90 plus \$22 per week.
How much would you pay if you went to the fitness club for 11 weeks?
What would be the total cost of attending the fitness club for a year?
Calculate the income earned for the following amounts of piecework:
Washing 24 cars at \$10 per car.
Baking 26 croissants at \$7 per croissant.
Sewing 84 shirts at \$8 per shirt.
A taxi fare is \$8 plus \$4 per kilometre travelled. How much would the fare be if:
Tracy travelled 7\text{ km}?
Tracy travelled 12\text{ km}?
Tracy travelled 17\text{ km}?
Tracy travelled 22\text{ km}?
Uther earns \$423.13 in 17 hours. How many hours does he work in a week in which he earns \$273.79?
Luke is a locksmith. On weekends, if he is on call, he gets paid \$64.50 per hour plus a flat rate call out fee of \$75. On the coming Saturday he has 3 jobs that will take 1.5, 0.25 and 1.25 hours respectively to complete. How much will he earn on Saturday?
A baker earns \$4 for each breadroll and \$2 for each bagel she makes. In one particular day she makes 40 breadrolls and 100 bagels.
Calculate the amount she earns from making breadrolls.
Calculate the amount she earns from making bagels.
Calculate her total income for the particular day.
Oliver is paid a piecework rate of \$5.20 per kilogram of strawberries he picks. He currently picks at an average rate of 3.70\text{ kg} of strawberries per hour. Lucy also picks strawberries but is paid an hourly rate of \$26.30 rather than a piecework rate.
Calculate how much Oliver is paid per hour.
How many kilograms of strawberries would Oliver need to pick each hour, so that his hourly pay was the same as Lucy’s. Give your answer to two decimal places.
A moving company charges a \$195 fee, plus \$3 for each item successfully moved without being damaged. Laura hires them to move 300 boxes of plates from her store. Unfortunately they drop 30 boxes of plates, which can no longer be sold. How much does Laura pay the moving company?
Roxanne's monthly salary is \$8142.50. If Roxanne gets paid fortnightly, calculate her fortnightly pay rate. Assume that there are 52 weeks in a year.
An outdoor yoga club charges a registration fee of \$20 plus \$15 per session that you attend. Calculate the cost for attending 11 sessions.
Michael and Vincent work at their local supermarket as checkout operators. They both work 7 hours every week. Michael's hourly rate is \$17 and Vincent's hourly rate is \$23. How much more money does Vincent earn than Michael each week?
A physiotherapist charges \$50 per patient she treats.
Complete the table of her weekly income:
| Number of patients seen in the week | 12 | 22 | 32 | 41 | 51 |
|---|---|---|---|---|---|
| Weekly income ($) | 1100 | 2050 |
How much would she earn in a week where she treated 0 patients?
Tina is a musician. Her royalty payments and music sales for one month are outlined in the following table. Calculate her income in royalties for the month.
| Usage | Royalty payment | Number of downloads/plays |
|---|---|---|
| \text{Online store} | \$0.49 \text{ per song purchased} | 2518 |
| \text{Streaming service} | \$0.0079 \text{ per song streamed} | 6670 |
| \text{Radio station} | \$7 \text{ per song played} | 29 |
Dave obtained quotes from two plumbers:
Plumber A charges \$92 for a callout fee plus \$17 per hour.
Plumber B charges \$20 for a callout fee plus \$35 per hour.
Complete the table of values:
| Hours of work | Amount charged by Plumber A | Amount charged by Plumber B |
|---|---|---|
| 4 | ||
| 5 | ||
| 6 | ||
| 7 |
How many hours would the job have to take for Plumber A and Plumber B to charge the same amount?