Reason + numbers - practice problems - page 20 of 43
Number of problems found: 857
- Bookshelf and books
How many ways can we place seven books on a bookshelf? - 4-digit 8231
How many 4-digit numeric pin codes can be created so that not all four digits are identical? - 102—likewise 8205
The number 20 137 is "like" the number 73 102—likewise, the decimal numbers 41.9 and 9.14, or 31.08 and 80.13, like each other. Find two mutually exclusive numbers whose product is 357.435. - Iron pole
The iron pole is in the ground 2/5 of its length, partly above the ground 1/3 is yellow, and the unpainted section is 6 m long. How long is the entire column?
- Dance group
The dance group formed groups of 4, 5, and 6 members. Always one dancer remains. How many dancers were there in the whole group? - Barter
There is exchange trade on the market. We know that for two sheepskins, we get three goat skins. We also know that we get four goat skins for six rabbit skins. How many rabbit skins do we get for four sheepskins? - Last page
Two consecutive sheets dropped out of the book. The sum of the numbers on the sides of the dropped sheets is 154. What is the number of the last page of the dropped sheets? - Several 8130
The hotel has 27 beds in several rooms. There are single, double and triple rooms. How many single, double and triple rooms can there be in the hotel? Give at least three options. - Incorrectly 8075
Katka solved an example from mathematics. She could calculate 50% of the examples, guess the remaining questions, and guess one-fifth of them. She had 12 answers incorrectly. How many tasks did the test contain?
- Prospering students
There are girls and 30 boys in the class. Boys are prospering 28, girls all. How many girls are in the class and how many boys are there, if all the prospering students are 95%? - The King
The King wants to divide his sons equally. He has 42 rubies and 45 diamonds. How many sons and how will they share them? - Two cars on ring
There were two cars on the round track (ring) in the adjacent tracks, the first car on the inner track and the second on the outer track. Both cars started at the same time from one starting track. The first toy car drove four laps simultaneously, and the - Sum and ratio
The sum and ratio of two numbers are equal to 10. Which numbers are they? - Cows and calves
There are 168 cows and calves in the cowshed. Cows are in nine stalls, and calves are in four stalls. The same count of cows is in every cow stall and three more in each calf stall than in a cow stall. What is the capacity of the stalls for cows and what
- Self-counting machine
The self-counting machine works exactly like a calculator. The innkeeper wanted to add several three-digit natural numbers on his own. On the first attempt, he got the result in 2224. To check, he added these numbers again, and he got 2198. Therefore, he - Together 8007
Sylva and Šárka have 20 CZK together. If Sylva gives Šárka 6 CZK, they will have the same. Sylva has how many more CZK? - Three-member 8005
There were a total of 50 teams in the competition. Eight teams were four-member, the rest three-member and two-member. How many teams were three-member when 134 people took part in the competition? - Three-digit 8002
Find the largest three-digit number that gives the remainder 1 when divided by three, gives the remainder 2 when divided by four, gives the remainder 3 when divided by five, and gives the remainder 4 when divided by six. - Probability 7991
We have the numbers 4, 6, 9, 13, and 15. What is the probability that these will be the lengths of the sides of the triangle? (Consider only scalene triangles.)
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