Pythagoras contest - practice problems - last page
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 58
- They held
A 100-meter race was held at school. Peter, Jan, Andrej, Radko, and Miro advanced to the final. Peter finished either second, third, or fourth. Jan was not the winner. Andrej finished one place behind Jan. Radko did not finish in second place. Miro was tw - Solutions 5453
Tongue twister. Replace the letters with numbers to get the correct sum: ŠKRZ KRK STRČ ______ PRST How many solutions does the task have? - One million
Write the million number (1000000) using only nine numbers and algebraic operations plus, minus, times, divided, powers, and squares. Find at least three different solutions. - Equation algebraogram
Solve the equation: oco + ivo = cita How much has the task of solutions?
- Alarm clock
The old watchmaker has a unique digital alarm in its collection that rings whenever the sum of the alarm's digits equals 21. Find out when the alarm clock will ring. What is their number? List all options. - Five-crowns 4879
Eva had seven coins. Crowns, two-crowns, and five-crowns. At least two of each. How many did she have if she could buy three packs of gum for six crowns? - Bicycles
You're the owner of the transport's learning playground. Buy bicycles of two colors, but you've got to spend accurately 120000 CZK. The Blue bike costs 3600 CZK and the red bicycle 3200 CZK. - Sequence 4378
Find out the other three members of the sequence and write their sum: 1,29,2,28,3,27, - Entrepreneur 4367
Entrepreneur Kostkoš wanted to produce colorful blocks for schools. But he gave them to another businessman to paint, who asked €1,117.2 for painting 1,000 cubes. The area that needs to be painted on one cube is 294 square centimeters. Please write how ma
- Take a photo
Four boys are living in a three-story house. Each lives on a different floor. We know this about them: - Josef is a philatelist - Viktor does not live on the top floor and cannot take photographs - Ivan is friends with an amateur photographer from the gro - David number
Jane and David train in the addition of decimal numbers so that each of them will write a single number, and these two numbers will then be added up. The last example was 11.11. David's number also had the same number of digits before and after a point. J - King's birthday
To celebrate the king's birthday, workers fire 1/5 all purchased rockets. To celebrate the Queen's birthday, fire 1/6 of the remaining rockets, and to celebrate the birthday of the king's son, the remaining 15,000 rockets. How many rockets did they purcha - Skiing meeting
Four friends came to the skiing meeting from 4 world directions and led the next interview. Charles: "I did not come from the north or from the south." Mojmir: "But I came from the south." Joseph: "I came from the north." Zdeno: "I come from the south." W - Fluid
We have vessels containing 7 liters, 5 liters, and 2 liters. The largest container is filled with fluid, and the others are empty. Can you only get 5 liters and two 1 liter of fluid by pouring? How much pouring is needed?
- Connected 3457
There are eight places in Budan, some of which are connected by roads. There is a gate at every point where the road leaves or enters the city. No two paths intersect or enter through the same entrance. The number of gates matches one of the numbers 5,15, - Everyone 3299
The three brothers had 24 apples. Everyone kept half and divided half between the two brothers. Everyone had as many apples as they had three years ago. How old were they? - Flowerbed
The family has tulips on a square flower bed of 6 meters. Later, they added a square terrace with a side of 7 meters to their house. One vertex of the terrace lay exactly in the middle of a tulip bed, and one side of the terrace was divided by the side of - Short cut
Imagine that you are going to a friend. That path has a length of 120 meter. Then turn doprava and go other 630 meters, and you are at a friend's. The question is, how much will the journey be shorter if you go directly across the field?
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