Reasoning - math word problems - page 49 of 88

Number of problems found: 1754

Express train
An international express train drove from Kosice to Teplice. In the first 279 km, the track was repaired; therefore, it was moving at a speed of 10 km/h less than it was scheduled to drive. The rest of the 465 km trip has increased the speed by 8 km/h to
Mother Children Shopping Puzzle
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?
Children weight puzzle
Max and Katy weigh 75 kg together, Katy and Tina weigh 71 kilograms, and Max and Tina weigh 80 kilograms. Thus, each of the children weighs 75 kilograms.
Two Workshops Production Days
Two workshops of a particular company produced 25 parts a day. To have 300 pieces, one worked for ten days and the other for 15 days. How many parts did each workshop make per day?
Same Birth Month Probability
How many people must be in a group for at least two of them to be born in the same month?
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 fabric
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 proof
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
Hiker Path Lengths
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
Letter puzzle
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.
Digit puzzle
Four cards each showed a different digit, one of which was zero. Victor formed the largest four-digit number from the cards, and Martin formed the smallest four-digit number. Adam wrote the difference between Victor's and Martin's numbers on the board. Th
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
Card expression
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
Anti-birthdays
Štefka likes to celebrate, so apart from her birthday she came up with anti-birthdays as well: the date of anti-birthdays arises so that the number of the day and the number of the month in the date of birth are swapped. She herself was born on 8.11., so
Clothing company
A clothing company manufactures three kinds of coats. The weekly production is 400 of the first type, 370 of the second, and 230 of the third type. By long-term observation it was found that among the quality coats there are 2/3 of the first type, 7/9 of
CD compartment distribution
Thomas 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?

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