Reason + natural numbers - practice problems - page 3 of 28
Number of problems found: 543
- Symmetrical 80361
Complete the digits to create a symmetrical number divisible by 5 to the number 346. - Transferred 80359
There were 10 apples in the bowl. There were 35 apples in the bucket. Ivan transferred 15 apples from the bucket to the bowl. Then Zora took 4 apples from the bowl. Mom took 2/3 of the remaining apples in the bowl for the pie. How many apples are left in - Tablets 80294
Pepík is sick and has to take 1 tablet three times a day. How many days will a pack of 30 tablets last him if he only takes 1 tablet in the morning and evening every third day? - Five-digit 80104
How many different five-digit numbers with different digits can be made from the digits 0, 2, 4, 6, 7, 8, and 9? How many of them are divisible by 4? How many of them are divisible by 10? How many of them are even?
- Determine 80084
Determine the number of all natural numbers greater than 2000 in which the digits 1, 2, 4, 6, and 8 occur at most once each. - Repeated 79734
How many numbers a) less than 500, b) greater than 500 can be formed from the digit 0,1,5,8,9 so that no digit is repeated? - Determine 79624
There are 5 roads from city A to city B, 3 from city B to city C, and 4 from city C to city D. Determine the number of paths that go from A to D via B and C. - Divisible 79464
The teacher wrote a number less than 50,000 on the board. The first student said: This number is divisible by 2 The second student said: This number is divisible by 3 And so on, down to the last one who claimed it was divisible by 13. Two in a row lied. W - Hamburgers 79184
Two sellers, each in their stand, sold hamburgers at the same price, expressed as a natural number in CZK greater than 30. The first seller received 1260 CZK, and the second received only 792 CZK. How much CZK did 1 hamburger cost? How many hamburgers did
- Non equivalent ints
Two n-digit integers are said to be equivalent if one is a permutation of the other. Find the number of 5-digit integers such no two are equivalent. If the digit 5,7,9 can appear at most one, how many non-equivalent five-digit integers are there? - What is 20
What is the least number that should be added to 2497 so that the sum of the digits is divisible by 5, 6, and 10? - Three flocks
Flocks of birds pass by, and one bird on a tree asks them, how many of you? And they respond, we are so plenty. The second flock of birds again passes by and asks the bird on a tree, how many of you? The response is we are one-half (1/2) of the first floc - Seven segments display
Electronic devices sometimes use the type of digits below, where each digit uses some short stripes. For example, seven uses three small stripes. What is the largest three-digit number that you can make if you use twenty stripes? - Probability 73654
We roll two dice. One is 6-walled, and the other is 8-walled. What is the probability that at least one unit will fall?
- Calculation 73364
From the number 5,4,0,7,8, create three-digit numbers, so they do not repeat and solve the problem by calculation. - Apples
Three types of apples are mixed in a box. What is the smallest number of apples we have to take from the box so that there are certainly at least three apples of the same kind among them? (Explain your solution!) - Numbers 72404
How many numbers are less than 200, the digit sum of which is 6? - Probability 72324
We used the digits 2, 3, 4, 5, and 7 when entering the PIN code, and we only used each digit once. What is the probability that someone will guess our PIN code on the first try? - Groups 72194
I have eight groups. How could they place first, second, and third?
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