Ratio + simple proportion - practice problems - page 3 of 6
Number of problems found: 114
- 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? - Save trees
Twenty-five tons of old paper will save 1,600 trees. How many tons of paper are needed to save the 32 trees in the park? - Six workers
Six workers earned a total of CZK 12,600 per week on the construction site (5 working days). How much do seven workers earn in 10 days with the same daily average salary? - Approximately 25381
The observer sees the tops of two trees at the same angle a. It is 9 m from one tree and 21 m from the other. The trees stand on a level. How tall is the second tree if the height of the first is 6 m? Remember that the eyes of a standing person are approx - Five combers
Five combers harvest 12 rows of strawberries in 4 hours. How many rows of strawberries will two combers harvest in 10 hours? - Diggers
The excavation was carried out in 4 days, and five workers worked on it for 7 hours daily. Determine how long it would take to excavate if seven workers worked on it 8 hours a day. - Passengers 22303
For 25 adult bus tickets, the bus driver collected 17.5 euros. How many euros will 36 adult passengers pay? - Lookout tower
Calculate the height of a lookout tower forming a shadow of 36 m if a column 2.5 m high has a shadow of 1.5 m at the same time. - 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? - Cardholders 21563
Two cardholders will build a tower of cards in 0.5 hours. In how many hours will five such a tower be built? - Horses 20063
Nine horses need a lot of hay for two days. How many horses would the same amount of hay be enough for three days? - Snack
The teacher paid CZK 450 for a snack for 30 pupils. How many CZK will we pay for the same snack for 28 pupils? - Approximately 18733
Last year, Mirek's aunt dried 4.8 kg of fallen apples from 30 kilograms of fallen apples. This year he wants to dry the crosses from 50 kilograms of apples. Approximately how many kg will he gain? - Mixture of nuts
Alice bought a mixture of nuts containing cashew nuts, hazelnuts, and peanuts in a ratio of 1:2:3. Calculate the weight in grams of the whole mixture if the peanuts weigh 90 g. - Two villages
On the map with a scale of 1:40000 are drawn two villages actually 16 km away. What is their distance on the map? - 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? - Painters
Ten painters will paint the school in 20 days. How many days do four painters paint the school at the same pace of work? - Proportion 3
For every eight mango trees in the orchard, there are 4-star apple trees. If there are 1320 trees, how many trees of each kind are there? - The cone
The cone has a base radius of 12 cm and a height of 20 cm. It was truncated at 6 cm from the base. We created a truncated cone - frustum. Find the radius of the base of the truncated cone. - Tourist
A tourist walked an average speed of 3.5 km/h route in 6 hours. Calculate how many hours he would have passed at an average speed of 5.5 km/h.
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