Direct proportionality - math word problems - page 28 of 35
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: 688
- Children's 2730
When weighing the bodies from the children's kit, it turned out that one cube had the same weight as three cylinders and two cylinders had the same weight as six pyramids. How many pyramids have the same mass as one cube?
- Centimeters - block
The surface of the block is 4596 square centimeters. Its sides are in a ratio of 2:5:4. Calculate the volume of this block.
- Trapezium
The length of the base and the height size of the trapezium base are at a ratio of 5:3:2. The trapezium area is 128 cm². Calculate the length of the base and the height of the trapezoid.
- Land area
The land area of Asia and Africa are in a 3:2 ratio, and the European and African are 1:3. What are the proportions of Asia, Africa, and Europe?
- Approximately 2696
The diameter of the Earth and the diameter of Mars are approximately 15:8, and the diameter of Mars and the diameter of the Moon are 2:1. What is the ratio of the diameters of the Earth, Mars, and the Moon?
- Package Deal - what to choose
The parents decided to purchase a mobile phone for their son. They choose from the menu: ... Which offer is best?
- Gasoline consumption Skoda MB
The consumption of cars for 100 km is 6.6 liters of gasoline and 1 liter of gasoline costs € 1.274. How many euros did grandfather spend when the car traveled 321 km?
- Kilograms 2561
They baked 325 cakes with 25 kg of flour. How many kilograms of flour do they need to bake 195 pieces of such cakes?
- Two monuments
The distance between two historical monuments on a map with a scale of 1:500000 is 48 mm. Find the actual distance between these monuments in km.
- Machines 2
Two machines produce 2,000 products in 50 hours. How many machines do you need to buy to make 15,000 products in 30 hours?
- Determine 2510
Anna, Peter, Rado, Mišo, and Tomáš shared the amount of 250 euros in the ratio 1:1:1:1:1. Find how much each of them received.
- Brigade
On a weekly forest, the summer job operates 12 students. After plant one hundred spruces, get x CZK, after one hundred pines y CZK. How many CZK got one student for one day if planted spruces 25000 and 30000 pines week?
- Sprinter
Sprinter runs the relay 4 x 400 m to the handover at a 42 km/h speed. A second runner is at the start of the handover area 20 m long and runs when it is the first sprinter at a distance of 10 m. Calculate the speed at which the second runner must run to t
- Scale of the map
Determine the map's scale if the distance between A and B is 720 km and the distance on the map is 20 cm.
- Money split
Anton and Ferko got 2,500 euros together. The amount was split in a 1:4 ratio. How much did each get?
- Euros
Michal, Peter, John, and Lenka got together 2,400 euros. Do they share an amount in a ratio of 2:6:4:3. How many got each of them?
- Divide money
Divide 1200 USD at a ratio of 1:2:3:4:5:6:9:10
- Pumps 5
Five pumps pumped in 3 hours 1800 hl of water. How many hectoliters of water were pumped by four equally powerful pumps in 6 hours?
- Glass
At the glass shop, we have to cut eight sheets of glass. Each was shaped as a square with sides of 18 cm. We paid 44 CZK. How much is 1 m² of glass?
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