Ratio + length - practice problems - page 16 of 17
Number of problems found: 329
- Similarity
Are two right triangles similar if the first one has an acute angle 60° and the second one has an acute angle 30°?
- Clock
How many times a day do hands on a clock overlap?
- Map
On the tourist map, on a scale of 1:100000 is the distance between two points along a straight road 8.9 cm. How long travels this distance on a bike at 25 km/h? Time express in minutes.
- Observer
The observer sees a straight fence 100 m long in 30° view angle. From one end of the fence is 119 m. How far is it from the other end of the fence?
- Triangle ABC
Calculate the sides of the triangle ABC with an area of 1995 cm², and if sides are in a ratio a: b: c = 3:6:6
- Logs
The trunk diameter is 52 cm. Is it possible to inscribe a square prism with a side 27 cm?
- Garden
The square garden area is 2/9 of a triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing are needed to fence a square garden?
- Gutter
How much metal is needed to produce 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material.
- Store
2.1 EUR discounted one meter of the textile. Now, 10 m of textile costs the same as 8 m. Calculate the old and new prices of 1 m of textile.
- Scale
The swimming pool is long 50 m and 30 m wide. The city's plan is shown as a rectangle with an area 2.4 cm². What scale is the city plan?
- Troops
The route is long 175 km. On the first day, the first regiment went at an average speed of 14 km/h and back at 24 km/h. On the second day, the second regiment went on the same route at an average speed of 25 km/h there and back. Which regiment will take t
- Motion problem
From Levíc to Košíc, go car at speed 81 km/h. From Košíc to Levíc, go another car at speed 69 km/h. How many minutes before the meeting will be cars 27 km away?
- Motion
If you go at speed 6.2 km/h, you come to the station 52 minutes after leaving the train. If you bike to the station at speed 23 km/h, you come to the station 51 minutes before its departure. How far is the train station?
- Arc
The circle arc corresponding to the angle is 32° is 28 dm long. What is the length of the entire circle?
- Gimli Glider
Aircraft Boeing 767 lose both engines at 35000 feet. The plane captain maintains optimum gliding conditions. Every minute, lose 2100 feet and maintain constant speed 201 knots. Calculate how long it takes for a plane to hit the ground from engine failure.
- Book
Calculate the thickness of the page of the collection of examples from mathematics, where 4.87 cm is thick and has 451 pages.
- Washer
The washing machine drum washes at 71 RPM. The washing machine motor pulley has a diameter of 8 cm. What must be the diameter of the drum machine pulley when the motor is at 351 RPM?
- River
Calculate how many permille river Dunaj average falls, if on section long 957 km flowing water from 1454 m AMSL to 101 m AMSL.
- Mast
The mast has 8 a long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 7.8°. Determine the height of the mast if the sun above the horizon is at an angle 35°6'.
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