Equation + reason - practice problems - page 35 of 36
Number of problems found: 710
- Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - 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? - Ravens
The tale of the Seven Ravens was seven brothers, each of whom was born exactly 2.5 years after the previous one when the eldest of the brothers was 2-times older than the youngest, mother all curse. How old were seven ravens brothers when their mother cur - Motion
If you go at speed 5.5 km/h, you come to the station 33 minutes after leaving the train. If you bike to the station at speed 29 km/h, you come to the station 52 minutes before its departure. How far is the train station?
- Intersections
How many intersections have circles with radius 16 mm and 15 mm if the distance of their centers is 16 mm? - Motion
Cyclist started at 9:00 from point S to point T. After 10 minute, I followed him at the same speed as the second cyclist. Walker, which went from T to S, started at 9:35. After 71 minutes, he met the first cyclist, and after the next 8 minutes, the second - Newton's task
Grass grows in the meadow equally fast and evenly. It is known that 99 cows graze meadow for 14 days and 95 cows by 22 days. How many cows graze the meadow for 77 days? - Motion2
The cyclist started off town at 19 km/h. The car started after 0.7 hours behind him in the same direction. It caught up with him for 23 minutes. How fast and how long went the car from the city to catch cyclists? - Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 3a +4b = 4.9c
- Gear
Two gears fit into each other and have a transfer of 2:3. Centers of gears are spaced 82 cm. What are the radii of the gears? - Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately? - Coin
How many 20-cent coins must be put in a row that the next 20-cent coins after them (above) rolled on its axis? - Three numbers
Create from digits 1-9 three-digit numbers with their sum the smallest. What value is the sum of these numbers? (Use each digit only once) - Tippler
Bottle with cork cost 8.8 Eur. The bottle is 0.8 euros more expensive than cork. How much are a bottle and the cork?
- Book
To number pages of the thick book, the printer used 4201 digits. How many pages has this book? - Inflation
What is better for people (employees)? ... - Pumps
The tank is filled with two pumps in 16 minutes. The first pump is filled in 30 minutes earlier than the second one. How many minutes is filled with the first pump? - Euler problem
Someone buys 300 tolars towels. If it were for the same money of 5 more towels, it would be 5 tolars cheaper each. How many were towels? - Secret number
Find the secret number n, which reversed decreases by 16.4 if the number increases by 16.4.
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