Natural numbers + sets - practice problems - page 2 of 3
Number of problems found: 45
- Small painters
There are ten pupils in the painting group. Eight pupils paint with watercolors, and nine pupils with tempera colors. How many pupils paint both water and tempera colors when each pupil paints? - Divisors 40571
All common divisors of headings 90 and 48 - Corresponding
The set Z contains all natural numbers that are less than 11. Set A contains all even numbers belonging to the set Z. Set B is the set of all numbers that are multiples of 5 belonging to Z. Write all elements of the set Z in the corresponding dowry diagra - Wafers
They used 200 pieces to make wafers. One hundred fifty-seven topped with caramel topping and 100 with sugar topping. How many wafers did both toppings have?
- Simultaneously 37091
Ten children came to the art circle. Eight children painted, and nine, I guess. How many children did I paint with, and I think simultaneously? - Operations with sets
Set B - A has twice as few elements as set A - B and four times fewer elements than set A ∩ B. How many times more elements does set A have than set B? - Intersect of sets
Refer to the sets below: U = {1,2,3,. .. ,10} A = {1,2,3,4,5} B = {2,4,6,7,8} C = {4,5,6,8,10} A ∩ B ∩ C = ___ - Four-digit 10261
Roman likes magic and math. Last time he conjured three- or four-digit numbers like this: • created two new numbers from the given number by dividing it between digits in the place of hundreds and tens (e.g., from the number 581, he would get 5 and 81), • - Sufficient 9391
In Kocourkov, they use coins with only two values expressed in Kocourkov crowns by positive integers. With a sufficient number of such coins, it is possible to pay any integer amount greater than 53 cats’ crowns accurately and without return. However, we
- 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? - Ordered pairs
Given: Set T = {(1,2), (2,3), (3,4), (4,5), (5,5), (6,7), (6,6), (7,8), (8,9), (9,9), (9, 10), (11,12), (12,13), (13,14), (15,16), (16,16), (17,18), (18,19), (20,21)} Find the probability of having an ordered pair wherein the second element is greater tha - Face combinations
If I have 20 sets of eyes, 20 noses, and 20 months, how many unique face combinations can I make? - Ways
There are five roads from village A to village B, two roads from village B to village C, and only one road directly from village A to village C. In how many different ways can you get there: A) from village A to village C via village B? B) anyway from vil - Children 58031
The children talked about how they spent the holidays at school. 2/3 of them were on holiday with their parents. There were ten children by the sea, which is 5/8 of those who were on vacation. How many children are in the class of children?
- School trip
On a school trip, 17 of the 28 children bought ice cream or chocolate in a candy store. Twelve children bought chocolate, and nine children bought ice cream. How many children bought ice cream and chocolate? How many children did not buy ice cream? How ma - Two-digit 26211
Write all two-digit numbers using the numbers 4 and 7 - Wedding guests
Fifteen wedding guests could not agree on who would stand in the wedding photo. The groom suggested that all possible sets of wedding guests be made in the photographs. - The Hotel
The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numerals sequentially from the first floor; no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in - Two-digit 3456
Write all the two-digit numbers that can be composed of the digit 7,8,9 without repeating the digits. Which ones are divisible b) two, c) three d) six?
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