Ratio + length - practice problems - page 6 of 16
Number of problems found: 316
- The straight
The straight path rises by 72 cm every 3 m of its length. How many meters will it climb to 350 m? - The string
They cut 113 cm from the string and divided the rest in a ratio of 5:6.5:8:9.5. The longest part measured 38 cm. Find the original length of the string. - Gears
The front gear on the bike has 32 teeth, and the rear wheel has 12 teeth. How many times does the bike's rear-wheel turn if you turn the right pedal 30 times? What distance will you go if the circumference of the bicycle wheel is 250 cm? - Change 29601
Change of line MN, MN = 4.7 cm in the ratio 5:3.
- Chimney and tree
Calculate the height of the factory chimney, which casts a shadow of 6.5 m long in the afternoon. At the same time, a 6 m high tree standing near it casts a shadow 25 dm long. - Similar triangles
The triangles ABC and XYZ are similar. Find the missing lengths of the sides of the triangles. a) a = 5 cm b = 8 cm x = 7.5 cm z = 9 cm b) a = 9 cm c = 12 cm y = 10 cm z = 8 cm c) b = 4 cm c = 8 cm x = 4.5 cm z = 6 cm - Triangle 28611
The land has a triangle shape with sides of 300m, 200m, and 245m. Draw it on a scale of 1:5 000. - Divide 27883
Divide the line AB 8 cm long in a ratio of 2:5 - On the
On the map of Europe made at 1:4000000, Bratislava and Paris' distance is 28 cm. At what time will an airplane flying 800 km/h fly this journey?
- Similarity coefficient
In the triangle TMA, the length of the sides is t = 5cm, m = 3.5cm, and a = 6.2cm. Another similar triangle has side lengths of 6.65 cm, 11.78 cm, and 9.5 cm. Determine the similarity coefficient of these triangles and assign similar sides to each other. - 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? - Divide in ratio
Line segment AB is 12 cm long divided in a ratio of 5:3. How long are the individual parts? - Similarity 26441
How long a shadow casts a building 15 m high if the shadow of a meter rod is 90 cm? Sketch - similarity. - Advertising 26331
The can of juice is 15 cm high. For advertising purposes, they made a model that can enlarge in a ratio of 5:3. How tall is the advertising?
- Determine 26191
The rectangle has side lengths of a = 40 cm and b = 10 cm. We reduce side a's length by 30% and side b by 10%. Determine how many% less the area of the rectangle has decreased. - Manufacturer 25771
On the Christmas flyer, we find a toy car model reduced in a ratio of 1:43. What is the car's actual length in the picture in decimetres if the manufacturer states a length of 14 cm? - Cutting cone
A cone with a base radius of 10 cm and a height of 12 cm is given. At what height above the base should we divide it by a section parallel to the base so that the volumes of the two resulting bodies are the same? Express the result in cm. - Approximately 25381
The observer sees the tops of two trees at the same angle a. It is 9 m from one tree and 21 m from the other. The trees stand on a level. How tall is the second tree if the height of the first is 6 m? Remember that the eyes of a standing person are approx - The circumference
The circumference and width of the rectangle are in a ratio of 5:1. Its area is 216cm². What is its length?
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