# Equation + reason - math problems

#### Number of problems found: 399

• Bonus
The gross wage was 1323 USD including 25% bonus. How many USD were bonuses?
• n-gon
Gabo draws n-gon, which angles are consecutive members of an arithmetic sequence. The smallest angle is 70° biggest 170°. How many sides have Gabo's n-gon?
• Trains
On a double-track line between stations, K and M went against each other two trains. The first train passed the distance between stations for 3.5 hours, the second, which had an average speed of 12 km/h more, passed for 3.05 hours. Calculate the distance
• Brick weight
The brick weighs 3 kg and a half-brick. How much does one brick weigh?
• Diophantus
We know little about this Greek mathematician from Alexandria, except that he lived around 3rd century A. D. Thanks to an admirer of his, who described his life through an algebraic riddle, we know at least something about his life. Diophantus's youth las
• Clock
What time is now if the time elapsed afternoon is 2/10 of time that elapses before midnight?
• Camel
Camel's owner wants to get out of the city into an oasis. He bought 3000 bananas, which wants to sell in the oasis. However, an oasis from the city divided 1,000 kilometers of desert. Camel can carry up to 1000 bananas, and for every kilometer traveled, e
• Sequence
In the arithmetic sequence is a1=-1, d=4. Which member is equal to the number 203?
• Troops
The route is long 147 km and the first-day first regiment went at an average speed of 12 km/h and journey back 21 km/h. The second day went second regiment the same route at an average speed of 22 km/h there and back. Which regiment will take route longer
• Elections
The elections attended a total 4818 voters. First day 39 men more than women, the second day 21 women more than men. How many women attended elections?
• 2x cone
Circular cone height 84 cm was cut plane parallel with base. Volume of these two small cones is the same. Calculate the height of the smaller cone.
• 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?
• 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.
• Ravens
The tale of the Seven Ravens were 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 was seven ravens brothers when their mother cu
• Motion
If you go at speed 3.7 km/h, you come to the station 42 minutes after leaving the train. If you go by bike to the station at speed 27 km/h, you come to the station 56 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 minutes, 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 secon
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 meadow for 77 days?
• Motion2
Cyclist started out of town at 19 km/h. After 0.7 hours car started behind him in the same direction and caught up with him for 23 minutes. How fast and how long went car from the city to caught cyclists?
• Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 3a +4b = 4.9c

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