Ratio + length - practice problems - page 15 of 16
Number of problems found: 320
- Map 3
Map scale is M = 1: 20000 . Two cottages which are shown on the map are actually 20 km away. What is its distance on the map? - Map 2
At what scale is a map made if the distance 8.2 km corresponds to the map segment 5 cm long? - Dog
The man went with a dog on a long walk 17 km from the house. The man is walking at a speed of 4.9 km/h. A dog constantly runs between the house and the man at 12.6 km/h. How many kilometers will the dog run when they reach its destination? - Trapezoid ABCD v2
Trapezoid ABCD has a length of bases in ratio 3:10. The area of triangle ACD is 825 dm². What is the area of trapezoid ABCD?
- Carpenter
A carpenter cut off a small cuboid block with half the edge length from a wooden block. How many percent of wood did he cut off? - Bases
The length of the bases trapezium is in ratio 4:5. The length of the midline is 15. How long are the bases of a trapezoid? - Circle section
An equilateral triangle with side 33 is an inscribed circle section whose center is in one of the triangle's vertices, and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio between the circumference to the circle sector a - Axial section
The axial section of the cylinder has a diagonal 45 cm long, and we know that the area of the side and the base area is in ratio 6:5. Calculate the height and radius of the cylinder base. - Arc
The length of the circle is 18, and the arc length of the circle is 1. What is the magnitude of the angle of this arc?
- Car range
Calculate the maximum range of cars, if you can spend 10 euros, the diesel price is 1.55 Eur/l, and car consumption is 3 l/100 km. - Similarity coefficient
The similarity ratio of two equilateral triangles is 4.3 (i.e., 43:10). The length of the side of the smaller triangle is 7.5 cm. Calculate the perimeter and area of the larger triangle. - Cyclist
A cyclist passes 64 km in 4 hours. How many kilometers did he pass in 7 hours? - 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 1:50000 is the distance between two points along a straight road 3.7 cm. How long travels this distance on a bike at 30 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 102 m. How far is it from another end of the fence? - 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 triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing need 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.
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