Natural numbers - high school - practice problems - page 15 of 17
Number of problems found: 324
- Tournament 61544
In an amateur chess tournament, everyone plays with everyone. There are a total of 171 chess games on the program. How many players take part in the match? - Students 36881
As a reward, the land for the trip is ten students from a class of 25 students. How many options are there? - A three-digit numbers
Determine the total number of positive three-digit numbers that contain a digit 4. - Assembling 63964
Little Pavel was assembling building blocks (a cube is shaped like a cube). He wanted to build a big cube. However, he had 75 dice left, so he increased the edge by one die. Then he was missing 16 dice. How many cubes did he have in the kit?
- Three-digit 67824
The numbers 1,3,7,4 are given. How many three-digit numbers are there: a) if the numbers can be repeated b) if the numbers cannot be repeated c) how many even three-digit numbers if the numbers can be repeated d) how many odd three-digit numbers if the nu - Permutations 82516
From how many elements can we make 5040 permutations without repetition? - Equations: 80499
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - Three-digit integers
How many three-digit natural numbers exist that do not contain zero and are divisible by five? - No. of divisors
How many different divisors have number 13 4 * 2 4?
- How many 13
How many ways can X³ y⁴ z³ be written without an exponent? - Competition 33041
The long-term volleyball tournament is played on a one-on-one basis. So far, 11 teams have entered the competition. How many matches will be lost when two teams unsubscribe? - Arithmetic 62644
The sum of the two numbers is 18, and their difference is 10. What are the numbers? Calculate the arithmetic mean of the product and the proportion of these numbers. - Justification 8468
The natural number n has at least 73 two-digit divisors. Prove that one of them is the number 60. Also, give an example of the number n, which has exactly 73 double-digit divisors, including a proper justification. - Variations 26791
If the number of elements increases by two, the number of variations of the second class of these elements created by 38 increases. What is the original number of elements?
- Diagonal 5541
How many zeros does the unit matrix E contain, which has three units in the main diagonal? - AND-NOT-AND
If P is the set of multiples of 2, Q is the set of multiples of 3, and R is the set of multiples of 7, the following integers will be in P and Q but not in R: A=−54 B=−50 C=42 D=100 E=252 - Directly 55591
If n is a natural number that gives a division of 2 or 3 when divided by 5, then n gives a residue of 4 when divided by 5. Prove directly - MF graduate
78 school students graduate in mathematics or physics. Three times more students graduate from mathematics and do not graduate from physics than those who graduate from physics and do not graduate from mathematics. 69 students graduate in mathematics. How - Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption do we start?
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Natural numbers - math word problems. Examples for secondary school students.