Multiplication + Mathematical Olympiad - practice problems
Number of problems found: 16
- Two-digit 82521
Karel had to multiply two two-digit numbers. Out of care, he changed the order of the digits in one of the factors and got a product that was 4,248 less than the correct result. What is the correct result? How much should Karl have earned? - SKMO
Petra had written natural numbers from 1 to 9. She added two of these numbers, deleted them, and wrote the resulting sum instead of the summaries. She thus had eight numbers written down, which she managed to divide into two groups with the same product. - Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400? - Different 64304
If the boys let the two girls in front of them, how many different ways can Anka, Betka, Cyril, Daniel, and Erik line up in the dining room? - Two-digit 64294
How many natural two-digit numbers can we form from the digits 0, 1, 2, and 3 if the numerals cannot be repeated in these numbers? - Book Store
The Mabini Book Store (MBS) is reducing the prices of Mathematics books for promotion. The store has 6 Algebra books, 6 Geometry books, and 5 Statistics books to be arranged on a shelf. Books of the same kind are to be placed beside each other. How many w - Mr. Product
The product of ages of all of Mr. Product's children is 1408. The age of the youngest child is equal to half the age of the oldest child. How many children does Mr. Product have, and how old are they? - Three-digit 9601
Majka researched multi-digit numbers, in which odd and even numbers alternate regularly. Those who start with an odd number are called comics, and those who start with an even number are called cheerful. (For, number 32387 is comic, and number 4529 is hil - Restriction 7442
The figure shows two rows of hexagonal boxes that continue to the right without restriction. Fill in one field with one positive integer so that the product of the numbers in any three adjacent fields is 2018. Determine the number that will be in the top - 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 - MO Z6-6-1
Write integers greater than 1 to the blanks in the following figure so that each darker box is a product of the numbers in the neighboring lighter boxes. What number is in the middlebox? - Z7-I-4 stars 4949
Write instead of stars digits, so the next write of the product of the two numbers is valid: ∗ ∗ ∗ · ∗ ∗ ∗ ∗ ∗ ∗ ∗ 4 9 4 9 ∗ ∗ ∗ ∗ ∗ ∗ 4 ∗ ∗ - Shopkeeper 4433
The seller of Christmas trees sold spruces for 220 CZK, pines for 250 CZK, and hemlocks for 330 CZK. In the morning he had an equal number of spruces, hemlocks, and pines. In the evening, he had sold all the trees and received a total of 36,000 CZK for th - Star equation
Write digits instead of stars so that the sum of the written digits is odd and is true equality: 42 · ∗8 = 2 ∗∗∗ - Keyboards 2321
Miško had small keys on the shelf, which you can see in the picture. Their tones were marked on the white keys. Little Klára found the keys. As she took them off the shelf, they fell out of her hand, and all the white keys spilled out. So that the brother - Meadow
On the meadow grazing horses, cows, and sheep, together with less than 200. If cows were 45 times more, horses 60 times more, and sheep 35 times more than there are now, their numbers would equal. How many horses, cows, and sheep are on the meadow togethe
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