Themes, topics - math word problems - page 124 of 167
Number of problems found: 3330
- 3N on the number axis
The line represents the number axis, and the marked points correspond to the numbers a, - a, and a + 1, but in no particular order. Construct the points that correspond to the numbers 0 and 1. Discuss all the possibilities.
- Tulips and daffodils
Two hundred twenty tulips and daffodils are planted in the flowerbed. One-third of all tulips and one-sixth of all daffodils equals the number of all tulips. How many tulips and how many daffodils?
- Second 5586
The first pump fills the pool in 12 hours. The second pump fills it in 15 hours. If all three pumps work, the pool will fill in 4 hours. How long will it take to fill the pool with only the third pump?
- Corresponding 5585
Consider the various points corresponding to the numbers a, 2a, 3a + 1 in all possible orders on the straight line representing the number line. For each option, decide whether such an arrangement is possible. If yes, give a specific example; if not, give
- Complete 5584
The two workers dug together for 6 hours. The first worker would do the work himself in 14 hours. How long would it take for the second worker to complete the task?
- Thunder and lightning
There was a glimpse of the sky, and we heard thunder in 4.5 seconds. The light spreads at 300,000 kilometers per second, so we can assume the flash instantly without delay. However, the sound's speed is much lower in the air, one-third of a kilometer per
- Playground 5570
The football club owns five identical mowers. If they used two of them, they would mow the playground lawn in 10 hours. How long would it take to mow the lawn if they used all five mowers?
- Fence and scale
The garden with 80 m of fencing is drawn on a plan as a square with a side length of 4 cm. At what scale is this plan made?
- Distance 5565
The tourist section covered 14.5 km in 2.5 hours. What distance did he cover on average per hour?
- Simultaneously 5564
The smaller spiral heats the water in 30 hours, and the larger in 20 hours. How long will it take to heat the water if we turn on both coils simultaneously and the smaller coil breaks down after 8 hours of heating?
- Motorcycle 5561
Determine the average speed of a motorcycle ridden 1/3 of the total ride speed at 30 m/s and 2/3 of the total ride speed at 15 m/s.
- Gardeners 5542
Three gardeners mow the meadow for a while. Four gardeners can do it half an hour earlier. How long will it take five gardeners to do it?
- Remaining 5534
On the table lay eight cards with the numbers 2,3,5,7,11,13,17,19. Fero chose three cards. He added the numbers written on them and found that their sum was 1 more than the sum of the numbers on the remaining cards. Which cards could have been left on the
- Crates of apples
Miro tore three and a half crates of apples in two and a quarter hours. How many crates will it tear in one hour? How long will he have to tear to meet the daily standard of 10 crates?
- Three-digit 5524
Six cards with digits 1, 2, 3, 4, 5, and 6 are on the table. Agnes made a six-digit number from these cards, divisible by six. Then she gradually removed the cards from the right. A five-digit number divisible by five remained on the table when she remove
- They held
A 100-meter race was held at school. Peter, Jan, Andrej, Radko, and Miro advanced to the final. Peter finished either second, third, or fourth. Jan was not the winner. Andrej finished one place behind Jan. Radko did not finish in second place. Miro was tw
- Bus 14
Batesville is 65.35 kilometers from Stanton. A bus traveling from Stanton is 24.13 kilometers from Batesville. How far has the bus traveled?
- Minutes 5485
When it flies 106 km in 30 minutes, at what speed does the plane fly?
- Wagons and cranes
The same cranes are unloading 96 wagons. There would be fewer wagons for each crane if there were two more cranes. How many cranes were there?
- Circumscribed by triangle
Inside the rectangle ABCD, the points E and F lie so that the line segments EA, ED, EF, FB, and FC are congruent. Side AB is 22 cm long, and the circle circumscribed by triangle AFD has a radius of 10 cm. Determine the length of side BC.
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