Unit conversion + direct relationship - practice problems - last page
Number of problems found: 119
- Seawater
Seawater density is 1025 kg/m³, and ice is 920 kg/m³. Eight liters of seawater froze and created a cube. Calculate the size of the cube edge. - What scale
What scale is the map drawn if it shows a 15km route from the station to the ruins with a line 30cm long? A) 1: 2000 B) 1: 5000 C) 1: 20,000 D) 1: 50,000 - Distance 5773
The air distance from the hotel to the castle is 4.4 km. What is the map's scale on which this distance is shown by a line 4 cm long? - Distance 13311
On what scale is the map drawn? The actual distance of 1250 km is shown by a line 25 cm long. - Distance 3575
The distance between the two cities is 25km. This distance was drawn on the map by a line 5 cm long. What is the scale of the map? - Distance 3245
A map has a scale of 1:55,000. A line of 10 cm shows the distance between places A and B. How long is the distance in reality? - Indicated 20943
Calculate the actual distance on a map of 2 cities, which is indicated on the map by a line 6 cm long. - On the map
A line 1.5 cm long corresponds to a line 3 cm long on the map. What is the scale of the map? - Rectangular 4780
The plan of the television studio is made on a scale of 1:150. The plan has a rectangular studio measuring 5 cm and 6 cm. How many crowns will we pay to cover the studio with a floating floor if we pay 356 crowns for 1 m² of floating floor? - Schoolmaster 5412
The schoolmaster has a classroom schedule where the linoleum needs to be replaced. The classroom floor is a 45mm x 65mm rectangle on a 1:200 scale plan. How much will linoleum cost if 1 square meter costs €13.80? - Scale
The swimming pool is long 110 m and 30 m wide. The city's plan is shown as a rectangle with an area 8.25 cm². What scale is the city plan? - Rectangular 13993
The plan of the fitness center is made on a scale of 1:150. The rectangular fitness center has 5cm and 6cm dimensions on the plan. How many euros will we pay to cover the fitness studio with a floating floor if we pay 12 euros for 1 m² of floating floor? - Dimensions 60923
The drawing of the apartment is in the ratio of 1:200. The living room has dimensions of 2cm x 3cm in the picture. How many square meters does the living room have? - Map scale
On a 1:1000 scale map is a rectangular land of 4.2 cm and 5.8 cm. What is the area of this land in square meters? - 5000 8761
The garden has an area of 5000 m². What is its image area on a 1:1000 scale on the plan? - Cylinder - h2
The cylinder volume is 2.6 liters. The base area is 1.3 dm². Calculate the height of the cylinder. - Shadow of tree
Miro stands under a tree and watches its shadow and shadow of the tree. Miro is 180 cm tall, and its shade is 1.5 m long. The tree's shadow is three times as long as Miro's shadow. How tall is the tree in meters? - Tree shadow
The tree perpendicular to the horizontal surface has a shadow 8.32 meters long. At the same time, a one-meter rod perpendicular to the horizontal surface has a shadow 64 cm long. How tall is the tree? - 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.
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