Ratio - math word problems - page 26 of 74
Ratio problems are word problems that use ratios to relate the different items in the question. On solving problems and tasks proportionally, we recommend a hint rule of three. Rule of three (proportionality) helps solve examples of direct and inverse proportionality. Three members make it possible to calculate the fourth - unknown member.Number of problems found: 1468
- Similarity 30821
There is a given square ABCD with a = 5.3cm. Determine the side size of a similar square if the similarity ratio k = 3cm. Calculate the area and the perimeter of the magnified square - Two villages
Two villages are 11 km and 500 m away. The map determines their distance by a 5 cm long line. Find the scale of the map. - Millimeters 30721
On a map with a scale of 1:40000, the distance between two mountain peaks is given by a segment of 16 cm. How far will the same vertices be on a map with a scale of 1:140000? Round the result to millimeters. Solve using the trinomial - Vertical rod
The vertical one-meter-long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long simultaneously. - Triangle-shaped 30011
Determine the map's scale if the 1.6 km, 2.4 km, and 2.7 km triangle-shaped forests are drawn on the map as a triangle with sides of 32 mm, 48 mm, and 54 mm. - Consumption 29991
What kind of petrol consumption in liters of 100 km did the car have when driving in the city if it consumed 34 liters of petrol and drove 388 km? - Vertical 29801
The shadow of the building is 16 m long, and the shadow of the vertical meter rod is 0.8 m long at the same time. What is the height of the building? - The straight
The straight path rises by 72 cm every 3 m of its length. How many meters will it climb to 350 m? - Volume of sphere
How many times does the volume of a sphere increase if its radius increases two times? - 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. - Scoops 29461
Five scoops of ice cream cost 32 CZK. How much do we pay for three scoops of this ice cream? - Inhabitants 29451
480 people live in the village of grandmother. There are seven times fewer blue-eyed people than people with different eye colors. How many inhabitants of the village are blue-eyed? - Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle - Originally 29121
To what extent has production changed when they originally produced 2,400 products in 1 hour and now produced 2,640 products? - 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. - Grandchildren 28641
Mr. Novák wants to distribute CZK 1,600 among his grandchildren. They divide the amount according to their age. The two grandchildren are 15 years old. The remaining two are 12 and six years old. How many crowns will each of the boys receive? - 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.
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