# Unit conversion + inverse relationship - practice problems

#### Number of problems found: 21

- 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? - A family

A family of four consumes 220 liters of water a day. How many hectoliters of water are consumed by 68 tenants per day? - 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? - Eight masons

Eight masons will plaster a wall with an area of 1440 m² in 9 days. They work 8 hours a day. How much area will plaster 6 masons in 4 hours? - The chimney

The chimney casts a shadow 45 meters long. The one-meter-long rod standing perpendicular to the ground has a shadow 90 cm long. Calculate the height of the chimney. - Seawater

Seawater has a density of 1025 kg/m^{3}, ice 920 kg/m³. 8 liters of seawater froze and created a cube. Calculate the size of the cube edge. - Scale of the map

The distance between two cities is actually 30 km and the map is 6 cm. What is the scale of the map? - Pellets

1 pallet of pellets costs 5040 without VAT. 1 pallet weighs 1050 kg. How much does 1 ton costs? - Cooling liquid

Cooling liquid is diluted with water in a ratio of 3:2 (3 parts by volume of coolant with 2 volumes of water). How many coolant volumes must be prepared for a total of 0.7 dm³ (liters) of the mixture? - One deci

Wine 0,375 l costs 2040 CZK. How much does one dl cost? - Acres

Two hours 24 students harvested chestnuts on 36 acres. How many square meters harvested one student per hour? - Bronze medal

To produce 1 kg of bronze must be 0.95 kg copper, 0.04 kg of tin, 0.01 kg zinc. The bronze medal has a weight of 8.5 g. How much copper, tin and zinc does medal have? - Dried apples

How many kilograms of fresh apples id needed to 120 kg of dried apples when from 0.4 tons of fresh apples we get 75 kg of dried apples? - Plot

The plot on which Mr. Kalous is to build a house has the shape of a rectangle. On a 1: 500 scale, its dimensions are 7cm and 5.5cm. Find out the dimensions of the plot. Calculate the parcel size. - Two monuments

The distance between two historical monuments on a map with a scale of 1: 500000 is 48 mm. Find the actual distance between these monuments in km. - Glass

At the glass shop we have to cut 8 sheets of glass. Each was shaped a square with sides of 18 cm. We paid 44 CZK. How much is a 1 m² of glass? - Painter 3

Dad want to paint wall high 250 cm wide and 230 cm with wallpaper. How many meters must buy wallpaper if wallpaper width is 60 cm? - Coke

From one ton of coal is produced 772 kg of coke for iron production. How many wagons of coal by 13 tonnes per day is needed for the blast furnace, which has a daily consumption of 1020 tons of coke? - ŽSR

Calculate fixed annual personnel costs of operating monorail line 118 km long if every 5 km is a station, which serves three people - one dispatcher and two switchmen in 4-shift operation. Consider the average salary of the employee 885 €. - Car range

Kia has an average diesel consumption of 3.9 liters per 100 kilometers. What is the range of the car for 179 euros if fuel costs 1.3 EUR/liter, if the tank has a volume of 55 liters?

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Unit conversion - practice problems. Inverse relationship - practice problems.