Fractions + ratio - practice problems - page 25 of 26
Number of problems found: 510
- The plan
The plan of the housing estate is on three scales 1:5000,1:10000,1:15000. The distance between two points on a plan with a scale of 1:10000 is 12 cm. What is this distance on the other two plans? What is this distance?
- 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?
- Scale of the map
Determine the map's scale, which is the actual distance of 120 km l represented by a segment 6 cm long.
- School 6127
The gym at the school is 12 m wide and 1800 cm long. Draw it on a scale of 1:500
- Similar frustums
The upper and lower radii of a frustum of a right circular cone are 8 cm and 32 cm, respectively. If the altitude of the frustum is 10 cm, how far from the bottom base must a cutting plane be made to form two similar frustums?
- Cube cut
The edge of the CC' guides the ABCDA'B'C'D'cube, a plane that divides the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine which ratio the edge AB divides by this plane.
- Sphere radius
We reduce the radius of the sphere by 1/3 of the original radius. How much percent does the volume and surface of the sphere change?
- 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?
- Cuboid walls
The block's base is a rectangle whose sides have lengths in the ratio of 13:7. Find the volume of the block in liters if the longer side of the base measures 65 cm and the height of the block is 1.2 m
- Tractors
Fields go plow two tractors with various performances. The first tractor plows the whole field in 20 hours. The second tractor plows the whole field 4 hours kratšie. How long does it take to plow the whole field with two tractors?
- Mast
The mast has 8 a long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 7.8°. Determine the height of the mast if the sun above the horizon is at an angle 35°6'.
- Calculate 64514
In the triangle ABC, a: b = 3:2 and α: β = 2:1. Calculate the ratio a: c.
- Pipes
The water pipe has a cross-section 1184 cm². An hour has passed 743 m³ of water. How much water flows through the pipe with cross-section 300 cm² per 6 hours if water flows at the same speed?
- Clock
How many times a day do hands on a clock overlap?
- 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 7296
The cyclist covered a certain distance in 9 hours. How many hours does a car need to travel four times more if it moves three times faster?
- Calculate 64444
The length of the linden shadow is 429 cm. The length of the shadow meter is 78cm. Calculate the height of the linden.
- Manufacturer 67024
The car manufacturer states that the car consumes an average of 6.8 liters of gasoline per 100 km. How many liters of petrol does it use for a 348 km journey?
- Municipal 7590
One m³ of air weighs 13/10 kg, and the same volume of municipal gas is 4/5 kg. How many times is a gas lighter than air?
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