Direct proportionality - practice problems
Two sequences of numbers are proportional if their corresponding elements have a constant ratio. Direct proportionality is the dependence of two quantities, such that the number of times one quantity increases, the other quantity increases as many times. In other words: direct proportionality is a relationship in which it applies: in what proportion one quantity changes, in that proportion the other quantity also changes.For example:
For 1 euro, I buy 10 rolls, then for 2 euros I buy 20 rolls in the same store.
A car travels at a constant speed, then the distance traveled is directly proportional to the time spent traveling, with the speed being the constant of proportionality.
Number of problems found: 732
- A liter of a milk
A one liter of a milk cost is Rs 42.50. What will be the cost of 2.5 liters? - A ration
108 kg of ration is sufficient for 18 students for 15 days. Find, for how many students will 70 kg of ration be sufficient for 25 days? - Direct proportional
If m is proportional to n and m=5 when n=4, then what is the value of m when n=18? - Directly proportional
A person earns directly proportional to the number of hours she works daily. If she works h hours one day and makes s dollars an hour, what is the total amount she earns for the day in terms of h and s? - Jeremy 2
Jeremy is digitally editing out some red-eye problems in the photos from his sister's birthday party. The eyes are small and hard to click on, so he zooms in on the photo from 100% to 400%. In the zoomed-in photo, the eyes are 3 cm wide. How many cm wide - An iron rod
If 22.5 meters of a uniform iron rod weighs 85.5 kg, what will the length of 22.8 kilograms of the same rod? - Full-tank
A full-tank of petrol a car lasts for 10 days. If driver starts using 25% more everyday, how many days will the full-tank petrol last?
- Secondary 5
Secondary Middle School has 1200 students. Each student takes 5 classes a day. Each teacher teaches 4 classes. Each class has 30 students and 1 teacher. How many teachers are there at Secondary Middle School? - Numbers at ratio 2
Two numbers are in the ratio 3:5. If each number is increased by 10, the ratio becomes 5:7. Find the sum of the numbers. - Men at work
8 men can finish a piece of work in 40 days. If 2 more men joined with them, then how many days it will take to complete the work? - Gasoline 15
A car consumes 8 liters of gasoline for 20km. How far can it go for 36 liters? - A park on map
A park has an area of ⅙ mi². On a map, the park has an area of 1 ¼ cm². On the map, how many square centimeters represent 1 mi²? - Proportional relationship 3
Which table below shows a proportional relationship? A. x ; y 3; 12 4; 16 5; 20 6; 24 7; 28 B. x ; y 3; 15 4; 20 5; 25 6; 35 7; 40 C. x ; y 3; 24 4; 32 5; 45 6; 48 7; 56 D. x ; y 3 ; 21 4; 24 5; 35 6; 42 7; 49 - The capacitor
The parallel square plates of a 4.5µF Teflon capacitor are 3.2 mm apart. What is the area of the plate? - The restaurant
The restaurant is 3/8 miles from the office. She makes the walk in 7 1/2 minutes. At the same rate, how long will it take her to walk the two miles from her home to her office?
- Gallons of gas
Sara drives 171 miles on 7.6 gallons of gas. She uses this information to calculate how many miles per gallon she can drive. Using this result, how many miles can Sara drive on 12.5 gallons of gas? - Unit price 3
A grocery store sells a bag of 6 oranges for $5.64. How much would it cost for 8 oranges? - Miniature train
Allen's miniature train travels at a rate of 20 meters in 2 minutes. At this rate, how far will the train travel in 10 minutes? - Aling
Aling Rosa can sew 8 dresses in 12 days. How many dresses can she sew in 16 days? - A metre
A metre of lace trim costs $2.90. If Erik buys 3.2 meters of trim, how much will he have to pay?
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