Reason - practice for 11 year olds - page 20 of 21
Number of problems found: 408
- Diophantus
We know little about this Greek mathematician from Alexandria, except that he lived around the 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 - Brick weight
The brick weighs 4 kg and a half-brick. How much does one brick weigh? - Three cats
If three cats eat three mice in three minutes, after which time 90 cats eat 90 mice? - Elections
The elections attended a total of 4818 voters. First-day 39 men more than women, the second-day 21 women more than men. How many women attended elections?
- Camp
In a class are 36 children. During the holidays, 20 children were in the camps and 18 children on holiday with their parents. Find the minimum and the maximum number of children that may have been in the camp and on holiday with their parents at the same - 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? - Youth track
Youth track from Hronská Dúbrava to Banská Štiavnica, which announced cancellation attracted considerable media attention and public opposition, has cost 6.3 euro per capita and revenue 13 cents per capita. Calculate the size of subsidies to a trip group
- 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 - 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? - Lines
Five bus lines run at intervals 3, 6, 9, 12, 15 minutes. In the morning, it suddenly starts at 4:00. After how many minutes do the bus lines meet again? - Cats
Two cats caught two mice in two days. How many mouses will catch 6 cats for 6 days?
- Chocolate
How many times do we have to break a chocolate bar composed of 10 × 12 pieces to get the 120 parts? - Book
Calculate the thickness of the page of the collection of examples from mathematics, where 4.87 cm is thick and has 451 pages. - 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) - Sea on the Moon
Assume that the Moon has a sea with the same composition as Earth's (it has the same density of saltwater). Calculate the boat's dive floating in the sea on the Moon when on Earth has dive 3.9 m. Consider that the Moon has 6.5-times smaller gravitational - Book
To number pages of the thick book, the printer used 4201 digits. How many pages has this book?
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