Themes, topics - math word problems - page 143 of 174
Number of problems found: 3477
- Candy - MO
Gretel deploys different numbers to the vertex of a regular octagon, from one to eight candy. Peter can then choose which three piles of candy to give Gretel others retain. The only requirement is that the three piles lie at the vertices of an isosceles t - Work together
Michael and Dorota would do the work together in 2.25 hours. If Dorota had to do it herself, it would have taken her 6 hours longer than Michael. Determine when Dorota will do the work herself and when Michael will do it himself. - Road repair time Ten workers managed to repair the road in 22 days. After four days, two more workers joined to speed up the work. How many days does it take to repair the road?
- Potatoes
Danielle and Michael would jointly dig potatoes for 7.5 hours. But if Danielle was working alone, she would take 2.5 hours more than if he were working with Michael. Determine how long Michael would take alone and how long Danielle would take alone. - Work time
Danielle and Michael would dig potatoes together in 7.5 hours. But if Danielle worked alone, it would take her 2.5 hours more than Michael. Find how long it would take Michael alone and how long it would take Danielle alone. - Mowing meadows
Company A mows the meadow in ten hours. Company B will cut the meadow with dynamite in six hours. How many hours would these companies mow two meadows if they worked together? - Octahedron - sum
On each wall of a regular octahedron is written one of the numbers 1, 2, 3, 4, 5, 6, 7, and 8, wherein on different sides are different numbers. John makes the sum of the numbers written on three adjacent walls for each wall. Thus got eight sums, which al - Three friends
Three friend squirrels together went to collect hazelnuts. Zrzecka found more than twice Pizizubka, and Ouska was even three times more than Pizizubka. On the way home, they talked while eating and cracked her nuts. Pizizubka ate half of all the nuts coll - Z9–I–1
All nine fields of given shape are to be filled with natural numbers so that: • each of the numbers 2, 4, 6, and 8 is used at least once, • four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square, • in t - Mrak - cloud
It is given segment AB, which is 12 cm in length, on which one side of the square MRAK is laid. MRAK's side length is 2 cm shown. MRAK gradually flips along the line segment AB, and point R leaves a paper trail. Draw the whole track of point R until the s - Educational trails
From point A to point C, an educational trail passes through point B and a red tourist sign; see the picture. In addition, an undrawn abbreviation 1500 meters long, starting at A and ending on the nature trail, can be used. Victor found that • the trip fr - The swing
Two girls are on a seesaw. Anna weighs 45 kg and Simone weighs 35 kg. How far from the pivot should Simone sit for the seesaw to be balanced, given that Anna sits 1.5 m from the pivot? How far apart are the girls sitting? - MO SK/CZ Z9–I–3
John had a ball that rolled into a pool and floated on the water. Its highest point was 2 cm above the surface. The diameter of the circle where the ball met the water surface was 8 cm. Find the diameter of John's ball. - Triangle construction
Construct a triangle ABC, given the lengths of the sides: c = 8 cm, a = 5 cm and height length hc = 3.5 cm. Perform an analysis, write down the design procedure, perform it, and determine the number of solutions. - Cork weight
The cork has a diameter of 20 mm and is 38 mm high. How many plugs will weigh 1 kg/cork density = 0.3 g / cm cubic /. - Truck overtaking
A truck with a bulky load left the factory at 8:30 a.m. at an average speed of 20 km/h. At 9 a.m., a car drove up behind him, traveling at an average speed of 60 km/h. At what time will the car catch up with the truck? - Installation team
The team of installers is to carry out the installation in 20 days. By adding two fitters from the beginning of the work, the assembly was completed in 15 days. How many workers were originally on the team? - Hot air balloon
The center of the balloon is at an altitude of 600 m above the ground (AGL). The observer on earth sees the center of the balloon at an elevation angle of 38°20'. The balloon is seen from the perspective of an angle of 1°16'. Calculate the diameter of the - Cruise liner
The cruise liner runs along the river between points A and B. The journey downstream takes 40 minutes and 1 hour upriver. The flow rate of the river is 3 km/h. What is the speed of a cruise liner? - Skiing meeting
Four friends came to the skiing meeting from 4 world directions and led the next interview. Charles: "I did not come from the north or from the south." Mojmir: "But I came from the south." Joseph: "I came from the north." Zdeno: "I come from the south." W
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