Maths practice for 14 year olds - page 143 of 362
Number of problems found: 7228
- The theater
The Manila theater charged ticket prices: adults php 500, students php 250, and children below 12 are php 100. The theater collected a total of Php 100,000.00 from an audience of 250 people. What is a possible audience composition regarding the numbers of - Totem shed fitting
The boys wanted to store their hand-made totem 5.1 m high in the block-shaped shed, which measures 4 m, 3 m, and 2 m, for the winter. Will it fit in there at all? - 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? - Car departure time
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? - Sidewalk worker
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? - Square circle area
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? - Savings spending
Helen and Barbara had 1,500 CZK saved together at the end of January. After Helen spent CZK 318 from her savings and Barbara spent CZK 249 from her savings in February, Helen had twice as much CZK saved as Barbara. How much money did they have at the begi - Body diagonal Calculate the length of the space 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 seven times older than her daughter? Today, a son is 30 years younger than his father. Seven years ago, the father was seven times older than the son. How old is - Zinc body heating
A zinc body has a volume of 20 dm³. How much heat is needed to warm it from 25 °C to 100 °C? What is the heat capacity C of the body (in 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? - Aluminum plate forces
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.
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