Length + functions - practice problems - page 35 of 36
Number of problems found: 704
- Gear wheels
Two gear wheels, which fit together, have the number of teeth z1=117 and z2=70. Calculate the speed of the first wheel if the second wheel rotates 582 revolutions per minute. - Tourist
Tourists walk at 4.1 km/h. Every 5 km has a 20-minute break. How many kilometers were walked when they started at 4:40 and finished at 10:30? - Equilateral triangle
Calculate the side of an equilateral triangle if its area is 886 mm². - Cone and cube
About what percentage has cone with base radius r larger volume than a same high cube with square base with edge length r?
- Car range
Kia has an average diesel consumption of 5 liters per 100 kilometers. What is the range of the car for 135 euros if fuel costs 1.4 EUR/liter, if the tank has a volume of 51 liters? - Median
The median of the triangle NOP is away from vertex P 95 cm. Calculate the length of the median, which start at P. - Pipe
Steel pipe has a length of 1.7 meters. About how many decimetres is 1/3 less than 8/9 of this steel pipe? - Black building
Keith built building with a rectangular shape 6.5 m × 3.9 m. Calculate how much percent exceeded the limit 25 m² for a small building. A building not built by the law is called a "black building". Calculate the angle that the walls were clenching each oth - Right triangle
The legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
- Golden ratio
Divide the line of length 14 cm into two sections so that the ratio of shorter to greater is the same as the ratio of the greater section to the whole length of the line. - Magnification of the square
If we increase the square side, increase the area of the 70 %. About what percentage was increased on its side? - Similarity n-gon
9-gones ABCDEFGHI and A'B'C'D'E'F'G'H'I' are similar. The area of 9-gon ABCDEFGHI is S1=190 dm², and the diagonal length GD is 32 dm. Calculate the area of the 9-gon A'B'C'D'E'F'G'H'I' if G'D' = 13 dm. - Glass mosaic
How many dm² glasses are necessary to produce 97 slides of a regular 6-gon, whose side has a length 21 cm? Assume that cutting glass waste is 10%. - Slovak broad track
Once upon a time, we learned in school that the Russians have "wider" tracks than ours because they have less tolerable ground. In truth, decide only the area of sleepers, no track gauge. Calculate how many millimeters our track is 1435 mm, different from
- Monkey
The monkey fell into 20 meters deep well. Every day it climbs 3 meters, at night it drops back by 2 m. On what day it gets out from the well? - Road
Between cities A and B is a route 13 km long of average 7‰ stúpanie. Calculate the height difference between cities A and B. - Cube wall
The surface of the first cube wall is 64 m². The second cube area is 40% of the surface of the first cube. Find the length of the edge of the second cube (x). - Ships
At 8:40, the ship set sail at 12 km/h. At 19:10 followed by 29 km/h sailboat. When does the sailboat catch up with the ship? How many minutes will catch uptake? - Cu thief
The thief stole 142 meters copper wire with a cross-section area of $s mm². Calculate how much money gets in the scrap redemption if redeemed copper for 5.3 Eur/kg. The density of copper is 8.96 t/m³.
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