Natural numbers - high school - practice problems - page 4 of 17
Number of problems found: 324
- Sheep and cows
There are only sheep and cows on the farm. Sheep are eight more than cows. The number of cows is half the number of sheep. How many animals live on the farm? - Legs
In the room are four-legged chairs and three-legged stools, and all are fitted with (one) person. I counted all the legs in the room, and there were 39. How many are there chairs, stools, and people? - Spectators 82430
In a circus, in one sector for spectators, the seats are arranged in such a way that in each higher row, there is one more seat than in the previous one. How many seats are there in a sector with 22 rows if there are 8 seats in the first row? - Conservationists 62994
Conservationists planted a total of 695 trees of three species. There were 65 spruces more than pine trees and the first three times less than pines. How many trees of each species were planted?
- Admission 38691
In one HA class, there were 8 more pupils in the first group than in the second group. After the admission of two new pupils to each of the groups, there were twice as many pupils in the 1st group as in the 2nd group. How many pupils were there in each gr - Accommodated 25881
Fifty-one students are accommodated in the tourist hostel in 15 four-bed and three-bedrooms. How many rooms are there if there are 2 spaces left after housing? a) There are four-bed rooms. b) There are three-bed rooms. - Three-holiday 8149
During the holidays, 159 pupils were accommodated in three holiday cottages marked with the letters A, B, and C. There were 8 more pupils accommodated in cottage B than in cottage A and 14 more pupils in cottage C than in cottage B. How many pupils were a - 1200 screws
1200 screws are to be divided into three groups so that in the 1st group, there are 300 screws more than in the 2nd group, and in the 2nd group, 150 screws less than in the 3rd group. How many screws will be in each group? - Two-digit number
The digit sum of thinking two-digit natural numbers is 11. When it exchanges a sequence of digits, given a number that is 27 less than the thinking number, find out which number I think.
- Four integers
Find four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two. - Department 81818
The department has 90 members. There are 4 more older adults in the section than younger adults. There are 10 more older pupils than all adults. How many older and younger teenagers and how many older pupils are there in the section? - Find two
Find two consecutive natural numbers whose product is one larger than their sum. Searched numbers are expressed by a fraction whose numerator is the difference between these numbers, and the denominator is their sum. - Balls
Michal said to Martin: give me one ball, and I'll have twice as you. Martin said: give me 4, and we will have equally. How many balls does each have? - Forty-eight 24101
Forty-eight people were present at the reception. Among them were Czechs, Slovaks, and Germans. Slovaks were 4 more than Czechs and Germans 6 less than half Czechs and Slovaks. How many Czechs, Slovaks, and Germans were there at the reception?
- Mushrooms 21653
Martin went mushroom picking for three days. On the first day, he collected seven less than the third day, and on the second day, he collected eight more than the third day. Martin collected a total of 79 mushrooms. How much did he collect each day? - Finite arithmetic sequence
How many numbers should be inserted between the numbers 1 and 25 so that all numbers create a finite arithmetic sequence and that the sum of all members of this group is 117? - At the
The travelers' presentation came with three times as many men as women. When eight men left with their partners, there were five times more men than women at the presentation. How many were men and women originally? - Digits
If x, y and z are three consecutive nonzero digits, zyx-xyz = 198, where zyx and xyz are three-digit numbers created from x, y, and z. - Modulo
Find x in the modulo equation: 47x = 4 (mod 9) Hint - read as what number 47x divided by 9 (modulo 9) give remainder 4.
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