Miscellaneous
Porportional?
Problems 1
Problems 2
Problems 3
100
According to this table, which is the constant of proportionality?
3 or 1/3
100
The weight of a fish and its cost
Directly proportional
100
Rosa has paid 3.60€ for 300 grams of cheese. How much will she pay for 150 grams?
1.80€
100
Three harvesters collect wheat from a field in 3 hours. How long does one harvester take? What about two?
One harvester 9 hours
Two harvesters 4.5 hours
100
Two bags of rice cost 2.10€. How much do three bags cost?
3.15 €
200
A tap with a water flow of 5 litres per minute fills a tank in 12 minutes. How long will it take another water tap, with a flow of only 3 litres per minute, to fill the tank?
It will take 20 minutes
200
The speed of a car and the time it takes to travel from Palencia to Valladolid
Inversely proportional
200
Last week an employee was paid €60 for 5 extra hours of work. How much will the employee be paid for 3 hours?
€36
200
A tap fills a 20-litre bucket in 5 minutes. How long will it take to fill a 12-litre container?
It will take 3 minutes
200
There are three identical taps to fill a tank. The tank is filled in 12 minutes with one tap open. How long will it take to fill the tank with two taps open? What if 3 taps are open?
2 taps: 6 minutes
3 taps: 4 minutes
300
A bus takes 20 minutes to travel between two cities at 80 km/h. How long will it take if it travels at 100 km/h?
It will take 16 minutes
300
A person's age and the number of times she visits a doctor
Non proportional
300
A hiker, walking at 4 km/h, travels a certain distance in 1 hour and 40 minutes. How long will it take a cyclist to cycle the same distance at 20 km/h?
20 minutes
300
A car factory has built 2280 cars in the last 15 days. How many cars does it build in 6 days?
912 cars
300
A gardener takes 18 minutes to mow a field of 200 m^2. What area can he mow in an hour and a half?
1000 m^2
400
Two cleaners take six hours to clean the local sports centre after an athletics competition. How long will it take a team of five cleaners to do the same job?
Five cleaners would take 2 hours and 24 minutes (2.4 hours)
400
The time a vacuum cleaner is used and the amount of energy it uses
Directly proportional
400
5 typists need two hours to transcribe a conference. How long will it take 3 typists to transcribe the same conference?
It will take 3 hours and 20 minutes
400
A pump has filled a 15,000 litre tank in an hour and a half. How long will it take the pump to fill a 25,000 litre tank.
It will take 2 hours and 30 minutes
400
Four harvesters cut a hay field in three hours and twenty minutes. How long will one harvester take? What about five harvesters?
One - 13 hours and 20 minutes
Five - 2 hours and 40 minutes
500
Two cities A and B, which are 85 km apart in the real world, are 34 cm away fron each other on a map. What will be the actual distance between two other cities, M and N, which are 12 cm away from each other on a map?
Cities M and N will be 30 km apart
500
The water flow from a tap and the time to fill a bucket
Inversely proportional
500
A train takes 8 hours to go from city A to city B, at an average speed of 54 km/h. How long will another train take to travel the same distance at an average speed of 180 km/h?
It will take 2 hours and 24 minutes
500
Julia, Ivan and Andrea buy a pack of postcards for €6. Julia keeps 3 postcards, Ivan keeps 4 and Andrea the remaining 5. How much does each one of them have to pay for the pack of postcards?
Julia - €1.50
Ivan - €2.00
Andrea - €2.50
500
Lola, Nancy and Jordan split a 100 gram bag of chocolate between them. Lola takes 2 pieces of chocolate, Nancy takes 3 pieces, and Jordan takes the remaining 5 pieces. How many grams of chocolate has each one got?
Lola - 20g
Nancy - 30g
Jordan - 50g