Ratio + unit conversion - practice problems - page 6 of 9
Number of problems found: 172
- Dimensions 6130
The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6609 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge? - School 6127
The gym at the school is 12 m wide and 1800 cm long. Draw it on a scale of 1:500 - Traveling 6067
A car traveling at 75 km/h will drive from place A to place B in 3/4 hours. How long does it take for a cyclist to get there at a speed of 25 km/h? - Seedlings 6051
A forest nursery needs an area of 1.25 square meters per pine seedling. How many pine seedlings are planted in an area of 9 acres?
- Dependence 5997
Sound travels in the air at a speed of 330 m/s. Build a table of the dependence of the distance that the sound travels in a given time (for 1 to 10s, one second at a time). Write the equation of the relevant dependence. - Scale of the map
The distance between the two cities is actually 30 km, and the map is 6 cm. What is the scale of the map? - Separated 5878
How many cm on a map with a scale of 1:150,000 will two cities be separated when their distance is 30 km? - Measures 5876
How many km does the trip's route actually measure, which measures 28 cm on a map with a scale of 1:75,000? - Distance 5773
The air distance from the hotel to the castle is 4.4 km. What is the map's scale on which this distance is shown by a line 4 cm long?
- Deca-kilogram
70g of yeast is needed for 30 days of flour. How many dags of yeast are required for 1.5 kg of flour? (note: the decagram has the mark dag and not dkg - it would be a deca-kilogram) - Sugar 9
150 kg of sugar beet yields 24 kg of sugar. How many tons of sugar beet can be obtained from three tons of sugar? - Cooling liquid
Cooling liquid is diluted with water in a ratio of 3:2 (3 parts by volume of coolant with two volumes of water). How many coolant volumes must be prepared for a total of 0.7 dm³ (liters) of the mixture? - Hammerhead 5061
The hammerhead weighs 1 kg and the handle 250 g. What is the weight ratio of these two parts of the hammer? - Photo egative
Negative dimensions are 36mm and 28mm. What will the photo size be in the 21:4 ratio?
- Map scale
On a 1:1000 scale map is a rectangular land of 4.2 cm and 5.8 cm. What is the area of this land in square meters? - Basic form
Expressed the ratios of values in the basic form: 0,5 t : 1,2 kg 200 l : 0,15 m³ 12 t : 3600 kg 500 kg : 2,5 t 0,9 kg : 500 g 3,6 m : 240 cm 1200 mm : 2,4 m 300 l : 0,3 m³ 6 min 30 s : 900 s - School 6
Jirka lives 600m from the school, Honzík 1200m. How many kilometers a week does Honzik go over Jirka on his way to school and back? How many times will more Honzík go than Jirka? - Rectangular 4780
The plan of the television studio is made on a scale of 1:150. The plan has a rectangular studio measuring 5 cm and 6 cm. How many crowns will we pay to cover the studio with a floating floor if we pay 356 crowns for 1 m² of floating floor? - Map scale
What is the map's scale if 5.4 km is 72 mm on the map?
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