Ratio + unit conversion - practice problems - page 3 of 9
Number of problems found: 171
- The straight
The straight path rises by 72 cm every 3 m of its length. How many meters will it climb to 350 m? - 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? - 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 - 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. - Triangle 28611
The land has a triangle shape with sides of 300m, 200m, and 245m. Draw it on a scale of 1:5 000. - Instructions: 27783
Mr. Blažek is preparing a solution for the winter spraying of trees. He read the instructions: "We dilute in a ratio of 1:100. "How much of the spray can be poured into two liters of water? (There is always more water in the spray. ) - 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? - 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? - Similarity 26441
How long a shadow casts a building 15 m high if the shadow of a meter rod is 90 cm? Sketch - similarity. - The tower
The observer sees the tower's base 96 meters high at a depth of 30 degrees and 10 minutes and the top of the tower at a depth of 20 degrees and 50 minutes. How high is the observer above the horizontal plane on which the tower stands? - Kilogram 24921
Dahlia cooks with her mother apple slices. They mixed flour, sugar, and butter in a ratio of 10: 3: 2. How many grams of sugar and butter did they put in half a kilogram of flour? - Standing 22821
The heating plant sees the observer standing 26 m from the bottom of the chimney and sees the top at an angle of 67 °. How high is the chimney of the heating plant? - Garden exchange
The garden has a rectangular trapezoid shape, the bases of which have dimensions of 60 m and 30 m and a vertical arm of 40 m. The owner exchanged this garden for a parallelogram, which is 7/9 of the area of a trapezoidal garden. What is the size of the ne - Scale plan
On a 1:150 scale plan, the garden is 20 cm wide and 30 cm long. What is the actual width and length of the garden? (in meters) - Course 21753
The course is 80m long. What will be its length on the plan at a scale of 1: 500? (in cm) - Plums
By drying 3 kg of fresh plums, we obtained 750 g of dried plums. How many kilograms of fresh plums need to be dried if we want 1.5 kg of dried plums? - Kilometers
The scale of the map is 1:100,000. How long is the road, which is 4.7 cm long on the map, really long? - 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 - Interested 18803
On the map, at a scale of 1:400 m and an area of 100 cm². How much are you interested in this land? - Nutballs
The dough for nutballs contains, among other things, two basic raw materials: flour and nuts in a ratio of 2:1. How much is flour, and how many nuts are needed for 1 kg of dough if the "other" is 100g?
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