Reason + numbers - practice problems - page 23 of 43
Number of problems found: 857
- 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 - Three machines
The power of the three machines is 2:3:5. Two most powerful machines produce 400 parts per hour. How many components make all three machines in 3 hours? - One-quarter 7426
There were 46 more apple trees than pear trees in the orchard. The storm destroyed one-quarter of apple trees and seven pear trees. There are 80 trees left. How many are left? - Chocolate
I have a box of chocolate - white, milk, and dark. The ratio of white to milk with dark is 3:4. The ratio of white and milk to dark is 17:4. Calculate the ratio between white, milk, and dark chocolate.
- Two-digit 7410
How many two-digit numbers can be written using the number 0,2,6? We can also repeat the digits in the number. - Bullets 7405
Pavol, Igor, and Kubo played bullets. They had a total of 25 marbles. Palo had 6 more bullets than Kubo at the start. Then Igor won 8 bullets from Pavol, and thus Igor had the same number of bullets as Kubo. How many marbles does Pal have left? - Four poplars
Four poplars are growing along the way. The distances between them are 35 m, 14 m, and 91 m. At least how many poplars need to be dropped to create the same spacing between the trees? How many meters will it be? - Bricks pyramid
How many 50cm x 32cm x 30cm brick needed to built a 272m x 272m x 278m pyramid? - Letters
ABC + DEF = GHIJ replace letters with numbers so that the sum is correct (different letters = different numbers)
- Chocolates
How many ways can we distribute eight different chocolates to four children? - Children 7350
Mom sent half of her children and half a child shopping. Only one of her children remained at home. How many children does my mother have? - People 7331
How many people must be in a group for at least two of them to be born in the same month? - 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 - Three-digit numbers
Use the number 4,5,8,9 to write all three-digit numbers without repetition. How many such numbers are there?
- Inequality 7320
Let a, b, and c be positive real numbers whose sum is 3, each of which is at most 2. Prove that the inequality holds: a2 + b2 + c2 + 3abc - 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 - Odd/even number
Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by three and add one. Now, repeat the process with your new number. If you keep going, you'll eventually end up at one every time. Prove. - Single-digit 7302
Four different digits were on the four cards, one of which was zero. Vojta composed the largest four-digit number from the cards, and Martin the smallest four-digit number. Adam wrote the difference between Vojtov's and Martin's numbers on the board. Then
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