Reason - practice for 13 year olds - page 16 of 41
Number of problems found: 810
- Mathematics 7775
A total of 3389 digits were needed to number all the sheets of the mathematics textbook. Assume that in a book, every leaf outside the plates is numbered. How many pages does this textbook have if it is: a) single-volume b) two-volume (with both parts hav - Numbers 7755
How many digits 7 are in numbers from 1 to 777? - Simultaneously 7748
The monitor screen is blank. Four new wheels appear on the screen every seven seconds when the beep sounds. On the contrary, three wheels disappear from the screen every eleven seconds. If both actions should take place simultaneously, the number of circl - Calculated 7733
There are nurses and horses in the stable. Juraj calculated that they have 11 heads and 36 all legs. How many people are in the stable? - Direction 7728
Two swimmers trained together in a small pool. Swimmer Pike will swim the pool in 16 seconds, swimmer Kaprik in 20 seconds. Both swimmers suddenly jumped into the pool from the same edge and, for 160 seconds, swam along the length of the pool back and for - Diameter 7648
The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup? - Kilometers 7631
At 8:00, Peter set out on a hike at 5 km/h. At 9:12, Michal followed him on a bike at a speed of 20 km/h. At what time did Michal Petra run, and how many kilometers did he cover? - Two pipes
How long will the pool be filled with a double supply pipe if it takes the pool to fill the first pipe by 4 hours long and the second pipe 9 hours longer than both pipes open simultaneously? - On a farm
A farm has 900 rabbits, 700 sheep, 300 cattle, and 500 pigs. What percentage of the total number of animals are rabbits? - Incorrectly 7492
The test has 50 questions. Four points are counted for each correct answer, 3 points are deducted for an incorrect answer, and 2 points are deducted for an unanswered question. Peter scored 108 points on the test but answered only 6 questions. How many qu - Marriage sttus
In our city, 3/5 of the women are married to 2/3 of the men. Find what part of the population is free. - Mushrooms
Fresh mushrooms contain 88% water and dried 14% water. How many kilograms of fresh mushrooms should be collected to get 3 kg of dried? - Modifications 7479
The Numerometer has invented as the number machine that changes numbers until it makes them single-digit numbers. He still makes the change according to the same rule. For example: from the number 87312, after six modifications, he gradually made the numb - Smallest 7478
The hat has 14 grays, eight white, and six mice. What is the smallest number of mice we have to pull out of our hats to ensure we have at least one mouse of each color? - Around 7454
The same number of hens as sheep ran around the yard. They had a total of 168 feet. How many were sheep, and how many hens were there? - Three machines
The power of the three machines is 2:3:5. Two most powerful machines produce 400 parts per hour. How many components make all three machines in 3 hours? - Chocolate
I have a box of chocolate - white, milk, and dark. The ratio of white to milk with dark is 3:4. The ratio of white and milk to dark is 17:4. Calculate the ratio between white, milk, and dark chocolate. - Two-digit 7410
How many two-digit numbers can be written using the number 0,2,6? We can also repeat the digits in the number. - Four poplars
Four poplars are growing along the way. The distances between them are 35 m, 14 m, and 91 m. At least how many poplars need to be dropped to create the same spacing between the trees? How many meters will it be? - Bricks pyramid
How many 50cm x 32cm x 30cm brick needed to built a 272m x 272m x 278m pyramid?
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