Reason - math word problems - page 51 of 108
Number of problems found: 2142
- 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? - Beds
At the summer camp, there are 41 chalets. Some rooms are 3 beds, some 4-beds. How many campers from 140 are living in 3-bed? - Non-woven 7322
A square sandpit should have a side length of 1.6 m. How long do you need a wooden board to enclose the sandpit? Under the sandbox, a non-woven fabric will extend by 0.2 m on each side. How much will we need? - 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
- Determine 7314
The hiker went from A to B and back in 3 hours and 41 minutes. The road from A to B is first uphill, then flat, and finally downhill. A hiker walked up a hill at a speed of 4 km/h, on a flat surface at a speed of 5 km/h, and down a hill at a speed of 6 km - -------------- 7311 In the following additional 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 repla
- 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
- Harvesters
The first harvester will harvest the grain from the field in 20 hours, and the second, the more powerful, will harvest it in 10 hours. How long will it take for both harvesters to harvest this field if the second harvester has to be set up first, which ta - 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
- Compartments 7275
Tomáš has two compartments with CD-ROMs. The arithmetic average of the number of CDs in both bins is 30. If he added 10 more CDs to the first bin, there would be 1.5 times more CDs than in the second bin. How many CDs are in each compartment? - Year 2018
The product of the three positive numbers is 2018. What are the numbers?
- Mathematics 7270
Mišo has also been preparing for testing 9 for a long time. He devotes a third of his time to Czech, half of his time to mathematics, and discusses with his father for 10 minutes. How many minutes a day does Mišo prepare? - Middle finger
Jana counts on one hand one by one. She starts counting from her thumb through her index finger, middle finger, and ring finger and comes to her little finger and has the number 5. Then she immediately returns to her ring finger (6), to her middle finger - Craftsman 7263
To make a ladder, the craftsman needs to cut as many rungs of the same length as possible. He is to cut them from two boards, one is 220cm long, and the other is 308cm long. How long will the bars be, and how many will there be? - Three-digit number Find all three-digit numbers n with three different non-zero digits divisible by the sum of all three two-digit numbers we get when we delete one digit in the original number.
- Intersection 7247
On side AB of triangle ABC, points D and E are given such that |AD| = |DE| = |EB|. Points A and B are the midpoints of segments CF and CG. Line CD intersects line FB at point I, and line CE intersects line AG at point J. Prove that the intersection of lin
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