Ratio + unit conversion - practice problems
Number of problems found: 172
- 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? - Map scale
On a map, on a scale of 1:50000, what is the distance in kilometers that 6 cm on the map represents? - Salt water
The ratio of water (in liters) to salt (in grams) needs to be 3 to 2. If we add 10 grams of salt, how much water do we need to add? - Calculate 83261
Calculate the area of the triangle ABC, in which you know the side c=5 cm, the angle at the top A= 70 degrees, and the ratio of the segments cut by the height to the side c is 1:3 - Sides ratio and angles
In triangle ABC, you know the ratio of side lengths a:b:c=3:4:6. Calculate the angle sizes of triangle ABC. - Republican 83136
In the republican calendar (used in France from 1793 to 1805), one full day was divided into 10 hours; each hour had 100 minutes, and each minute had 100 seconds. What time would the clock show at that time when today's clock reads 15:36? - Dimensions 83135
The large aquarium is shaped like a cuboid and has dimensions in the ratio 5: 7: 4. The sum of the lengths of all edges is 96 dm. How many liters of water will be in the aquarium if it is filled to four-fifths? - Dimensions 83092
On the 1:75 scale plan, the building plot is a rectangle with 60 cm and 50 cm dimensions. If 1 m² of land costs 80 euros, what is the price of the land? - Statuette 83001
The bronze figurine weighs 0.5 kg. Bronze is an alloy of tin and copper in a ratio of 1:4. How many grams of copper and how many grams of tin does the statuette contain? - Deciliters 82303
Juraj had 1 liter of pure orange juice in the bottle. He drained 2 deciliters of it and replaced it with water. What is the ratio of orange juice to water in the bottle now? - Classroom 81784
The classroom is 6.8 m wide. Determine its width on a 1:50 scale plan. - Determine 81783
Determine the scale of the plan if the actual length of 51m is shown on the plan by a segment of length 3cm. - Increase 81782
What ratio must we increase to 1 m to get 1 m 50 cm? - Dimensions 81240
What is the scale of the city plan if the new football field with dimensions of 90m by 120m is shown on it as a rectangle with dimensions of 3cm by 4cm? - Square 81238
A forest with a square plan has an area of 4 square km. What side will the square have on a 1:50,000 scale map? - Similarity 80742
Calculate the perimeter of triangle ABC if you know that it is similar to triangle EFG in which e=144 mm, f=164 mm, g=92 mm, and the similarity ratio is 4. Express the result in cm. - Determines 80548
Find the map's scale, on which a line segment of 15 cm expresses the actual distance of 435 km between Paris and Bern. - Home is home
At 65km/h, Alfred can reach home in 50 minutes. At what speed should he drive his car so that he can reach home 10 minutes earlier? - Two pots
Two similar pots have 16 cm and 10 cm heights if the smaller pot holds 0,75 l. Find the capacity of the larger pot - Distance 73124
The map shows the cities of Beijing and Tokyo at a distance of 5.1 cm. Their actual air distance is 2040 km. What is the scale of the map?
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