Reason - math word problems - page 54 of 108
Number of problems found: 2142
- Clock's gears
In the clock machine, three gears fit together. The largest has 168 teeth, the middle 90 teeth, and the smallest 48 teeth. The middle wheel turns around its axis in 90 seconds. How many times during the day do all the gears meet in the starting position? - Notation 7014
There is no 0 in the decimal notation in natural numbers; there are even numbers or odd numbers, each at least once. Find the number of all k-digit natural numbers. - 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. - Relative 6999
The crawler tractor travels at a speed of 5 m/s. How fast are the top and bottom of the tractor belt relative to the road surface? - Simultaneously 6997
Two boys train to run on a 400 m closed track. They both run simultaneously from the same starting track in the same direction. Boy A runs at a constant speed of 5 m/s, and Boy B runs at a constant speed of 3 m/s. At what time does Boy A overtake Boy B fo - Manufacturer 6981
The hotelier wanted to equip the dining room with new chairs. He chose the type of chair in the catalog. Only when placing an order did he learn from the manufacturer that they offered every fourth chair at half price as part of the discount offer and tha - Classmates
Roman is ranked 12th highest and eleventh lowest pupil. How many classmates does Roman have?
- Inverted nine
In the hotel Inverted Nine, each hotel room number is divisible by 6. How many rooms can we count with the three-digit number registered by digits 1, 8, 7, 4,9? - Discount
The dress was discounted by CZK 115, which was 12% of the original price. What is the cost of the dress after the discount? - Progression
-12, 60, -300,1500 need the next 2 numbers of pattern - Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm? - Equilateral triangle ABC
In the equilateral triangle ABC, K is the center of the AB side, the L point lies on one-third of the BC side near point C, and point M lies on one-third of the side of the AC side closer to point A. Find what part of the ABC triangle contains the triangl - PIN code
The PIN on Michael's credit card is a four-digit number. Michael told his friend: • It is a prime number - a number greater than 1, which is only divisible by the number one and by itself. • The first digit is larger than the second. • The second digit is - Tractors
Five tractors will plow the field for 8 hours. In 2 hours, one tractor broke down. How long do the remaining tractors complete the plow? - Accommodated 6906
Tourists are accommodated in three hotels. There are eight more tourists in the second hotel than in the first. In the third hotel, there are 14 more than in the second. How many tourists stayed in each hotel if there were 258 in total?
- Apples
The school kitchen bought 36 kg apples for 12 CZK/kg. How many kilograms of apples 1/4 cheaper can they buy for the same money? - Three questions
Write a word problem with three questions for numbers 2 and 6. - Special watch
Fero bought a special watch on the market. It has only one (minute) hand and a display showing the angle between the hour and minute hands. How many hours was his watch shown? The minute hand points to number 2; the display shows 125°. - Bricklayers
Seven bricklayers will build the house in 630 days. How many bricklayers do we need to take after 150 days to complete the building for (additional) 336 days? - Summands 6879
Divide the number 111 into three summands so that each is two larger than the previous one.
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