Reason + addition - practice problems - page 4 of 8
Number of problems found: 153
- Big number
How many ones (digits) does the number 12345678910111213141516 ... 4647484950 contain? Did we write all natural numbers from 1 to 50 in a row? - Situation 7911
How many years will elapse from 1 January 2013 before the situation occurs that the product of the digits of a given year is greater than the sum of the digits of that year? A) 87 b) 98 c) 101 d) 102 e) 103 - The sum AP with rule
Find the sum of all natural numbers between 1 and 100, which are divisible by 2 or 5 - Bequeathed 7803
The father bequeathed to his two sons 4 gold plates in the shape of a square, which were 1 mm thick. The side lengths of these plates were 5 cm, 10 cm, 10 cm, and 15 cm. The sons were to receive the same amount of gold. How many gold plates did each son r - Pages counting
There are pages numbered 2 to 104 in the book. How many digits have to be printed to number the pages? - Simultaneously 7748
The monitor screen is blank. Four new wheels appear on the screen every seven seconds when the beep sounds. On the contrary, three wheels disappear from the screen every eleven seconds. If both actions should take place simultaneously, the number of circl - Yellows 7650
Stano got a box of dice. Half of them were brown and blue in color, and the others were red, yellow, and green. There were 12 more reds than yellows, 19 more reds, and 5 more greens than yellows. How many cubes were in the box? - Modifications 7479
The Numerometer has invented as the number machine that changes numbers until it makes them single-digit numbers. He still makes the change according to the same rule. For example: from the number 87312, after six modifications, he gradually made the numb - 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? - Letters
ABC + DEF = GHIJ replace letters with numbers so that the sum is correct (different letters = different numbers) - Competition 7328
Adam was practicing for a darts competition in class. Every day at home, he threw darts at a target in which the individual fields were worth 1,3 and 5 points. He threw 9 darts every day and always scored 27 points. He is in good form and never missed a t - Missing numerals
John described the example but forgot the numerals. Fill them in so that the result is correct. (2 solutions): 3 3 3 3 = 8 - -------------- 7311
In the following addition example, the same letters represent the same digits, and the different letters represent different digits: RATAM RAD -------------- ULOHY Replace the letters with numbers so that the example is correct. Find two different replace - Parenthesis 7284
Tomas received nine cards with the following numbers and math symbols for math olympiad results. 18, 19, 20, 20, +, -, x, (,) Note 4 numbers and operators plus, minus, times, left parenthesis, right parenthesis. He stored the cards so that there were neve - Game 27
Susan wanted to play the game. In the beginning, the first says a number from 1 to 8. Then the second player adds a number from 1 to 5 and tells the sum. Again, Susan adds a number from 1-5 and says sum, etc. The winner must say the number 27. What first - Downstream 7002
A rowboat sailing down a river covers a distance of 120 m downstream in 12 s and upstream in 24 s. Find the magnitude of the ship's velocity relative to the water and the current in the river. Both speeds are constant. - Questions 6898
Write a word problem with three questions for numbers 2 and 6. - The Stolen Money
A man walks into a store and steals a $100 bill. Five minutes later, he returns to the store and buys stuff worth $70. He pays with the bill that he had stolen, so the owner of the store returns him $30. How many dollars did the store owner lose? - Solve 2
Solve integer equation: a +b+c =30 a, b, c = can be odd natural number from this set (1,3,5,7,9,11,13,15) - Equation 6738
Solve the given equation in the set N: 1 - x + x² - x³ + x4 - x5 +…. + = 1/3
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