Unit conversion + simple proportion - practice problems - last page
Number of problems found: 37
- Strawberries 6125
Friends Marika and Katka decided to prepare strawberry jam together according to the recipe. They needed 50g of sugar for 0.5kg of fruit. How many kilograms of sugar must the friends prepare if they make jam from 2.3 kg of strawberries? - Water inlets
An Inlet valve with a flow rate of 12 liters per second is filled tank for 72 minutes. How long does it take to fill the full tank if we open one more such valve half an hour after? - Journey 4008
Hansel has a step length of 75 cm, and his little sister Danka is only 60 cm. How many steps does Danka take to school if Jan walks 820 steps? How many steps does their father take on the same journey? Who walks 4.5 m in 5 steps? - Traveling 6067
A car traveling at 75 km/h will drive from place A to place B in 3/4 hours. How long does it take for a cyclist to get there at a speed of 25 km/h?
- Tightened 83632
The key works like a lever, where one arm is the radius of the bolt, and the other is the length of the key. If key no. 12 (for screws with a diameter of 12 mm) and a length of 12 cm can be tightened with a maximum force of 100 N, what force does the wren - Glass
At the glass shop, we have to cut eight sheets of glass. Each was shaped as a square with sides of 18 cm. We paid 44 CZK. How much is 1 m² of glass? - Two brothers
The two brothers were to be divided according to the will of land at an area of 1ha 86a 30m² in a ratio of 5:4. How many will everyone get? - 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 six masons in 4 hours? - Seedlings 6051
A forest nursery needs an area of 1.25 square meters per pine seedling. How many pine seedlings are planted in an area of 9 acres?
- 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? - Rectangle 12081
On a plan with a scale of 1:8000, the ski slope has 12 cm and 0.5 cm lengths. What is the actual piste area in ares? - Department 3500
The city plan has a scale of 1:5 0000, which determines the actual dimensions of a department store that has a length of 18 mm and a width of 25 mm. - Granite sidewalk
On the sidewalk, 3 m wide and 8 m long, 2 m³ of mosaic stone (granite cubes) was used. The master of tiles had to pave the sidewalk 2.5 m wide and 65 m long. How much m³ of the stone does it consume? - 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.
- Water tank
There is water in the block-shaped tank with dimensions of 3 m, 1.5 m 5 m. It occupies 70% of the tank volume. Find the volume of water in the tank (in hl). - The straight
The straight path rises by 72 cm every 3 m of its length. How many meters will it climb to 350 m? - 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
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