Unit conversion + ratio - math problems

Number of problems found: 79

  • Two places
    The actual distance of the two places is 105 km. Find the scale of the map on which this distance is marked by a line 1.2 dm long.
  • Colorado
    The state Colorado has the shape of a rectangle. The map is sold on 2 posters. The first has dimensions of 70 cm and 50 cm in a scale of 1: 1,000,000. The second poster has dimensions of 175 cm and 125 cm. What is the scale of the second poster?
  • The output
    The output voltage of the transformer is 880 V. The secondary coil has 1200 turns. Find the voltage to which the primary coil is connected and how many turns it has if a current of 1 A flows through it. Transformation ratio k = 4. What current flows throu
  • An architect
    An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has a length of 1/2 inch and a width of 1/6 inch. The actual tiles have a length of 2/3 feet and a width of 2/9 feet. What is the ratio of the
  • Coke and coal
    20.1 tons of coke is produced from 30 tons of black coal. How much coke is made from 1 kilogram of coal?
  • Two villages
    Two villages are 11 km and 500 m away. On the map, their distance is determined by a 5 cm long line. Find the scale of the map.
  • 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 at the same time.
  • 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, on the 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 surface of the ball and the contents of the base is 4: 3. A plane passing through the axis of a cone cuts the cone in an isoscele
  • Chimney and tree
    Calculate the height of the factory chimney, which casts a shadow 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.
  • On the
    On the map of Europe made at 1: 4000000, Bratislava and Paris' distance is 28 cm. At what time an airplane flying 800 km/h will fly this journey?
  • The plan
    The plan of the housing estate is in 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?
  • 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
  • Plums
    By drying 3 kg of fresh plums, we obtained 750 g of dried plums. How many kg of fresh plums need to be dried if we want to get 1.5 kg of dried plums?
  • 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
  • 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 "other" is 100g?
  • Squares ratio
    The first square has a side length of a = 6 cm. The second square has a circumference of 6 dm. Calculate the proportions of the perimeters and the proportions of the contents of these squares? (Write the ratio in the basic form). (Perimeter = 4 * a, conte
  • Marlon
    Marlon drew a scale drawing of a summer camp. In real life, the sand volleyball court is 8 meters wide. It is 4 centimeters wide in the drawing. What is the drawing's scale factor? Simplify your answer and write it as a ratio, using a colon.
  • Cheetah vs antelope
    When the cheetah began chasing the antelope, the distance between them was 120 meters. Although the antelope was running at 72km/h, the cheetah caught up with it in 12 seconds. What speed was the cheetah running?

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