Maths practice for 14 year olds - page 137 of 378
Number of problems found: 7551
- Average speed
The car drove from city A to city B at 40 km/h and back to city A at a speed of 80 km/h. What was the average speed of the car?
- Bratislava 39211
A bus left Žilina towards Bratislava at 9:00 a.m. at an average speed of 60 km/h. After a certain time, a Škoda Superb set off from Žilina in the same direction at a speed of 100 km/h and overtook the bus after 45 minutes. When did Škoda leave Žilina?
- Revitalization 39191
Workers are building a new sidewalk while revitalizing the housing estate. Six workers will do the work in 12 days, but this is a problem because the sidewalk must be completed in 10 days to complete the work on time. How many workers must be hired to com
- Avia car
Avia left Prague at 7:00 a.m. at 80 km/h. When she was near Trnava (60 km from Bratislava), a Volkswagen Passat set off on the same road from Bratislava at a speed of 120 km/h. When and at what distance from Trnava did the Volkswagen Avia catch up?
- The resistance
What is the resistance of an aluminum wire, 0.2 km long and 10 mm in diameter?
- Calculate 39131
A circle describes a square with a side of 8 cm. Calculate the area of the rest of the circle if we cut out the square.
- Duo mix
One kilogram of meat of two colors is 650 g of pork, and the rest is chicken. One kilogram of pork is 40 CZK, which is more expensive than a kilogram of chicken. How many CZK (Czech crowns) cost one kilogram of chicken meat so that the price of one kilogr
- Slices of ham
If 17 slices equal 70 calories, how many calories are in 5 slices?
- Beginning 39061
Alena and Bára had 1,500 CZK saved together at the end of January. After Alena spent CZK 318 from her savings and Bára spent CZK 249 from her savings in February, Alena had twice as much CZK saved as Bára. How much money did they have at the beginning?
- Body diagonal
Calculate the length of the body diagonal of a block with dimensions: a = 20 cm, b = 30 cm, c = 15 cm.
- The family
How old is a mother if she is four times older than her daughter, and five years ago, she was even seven times older than her daughter? Today, a son is 30 years younger than a father. Seven years ago, a father was seven times older than a son. How old is
- Temperature 38971
A zinc body has a volume of 20 dm³. What heat is needed to warm it from a temperature of 25 to 100 degrees Celsius? What is this body's heat capacity C (unit J/K)?
- Two companies
Company A can fulfill the order in 12 days, and company B can fulfill the same order in 18 days. If only company A works on the order for the first two days and then both companies work on it for the remaining days, how many days will the order be fulfill
- Alcohol solutions
We have to produce 2 liters of 60% alcohol from 55% and 80%. How many of these will we use in the solution?
- The stadion
John can run around a circular track in 20 seconds and Eddie in 30 seconds. Two seconds after Eddie starts, John starts from the same place in the opposite direction. When will they meet?
- Karolína
Carolina chose five bodies from the kit - white, blue, and gray cubes, a blue cylinder, and a white triangular prism. How many different roof towers can be built one by one if all the blue bodies (cube and cylinder) are not placed on top?
- Gravitational 38843
An aluminum plate with a volume of 200 cm³ sinks in water. Determine the gravitational force exerted by the Earth on the plate. Determine the buoyant force that acts on a plate immersed in water. Compare the magnitudes of these forces and justify whether
- Pentagonal pyramid
The height of a regular pentagonal pyramid is as long as the edge of the base, 20 cm. Calculate the volume and surface area of the pyramid.
- Truncated cone
Find the volume and surface area of the truncated cone if r1 = 12 cm, r2 = 5 cm, and side s = 10 cm.
- Calculate 38701
Calculate the surface and volume of the cut rotating cone with base radii of 14cm and 8cm height of 11cm.
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