Math practice for 13 year olds - page 76 of 414
Number of problems found: 8276
- Dimensions - crate
A wooden crate with dimensions d=3 m, e=4 m, and f=3 m was placed in a transport container with dimensions a=10 m, b=4 m, and c=3 m. What is the maximum length of a straight, rigid rod of negligible diameter that can still be placed in the container in th - Map scale centimeters
Eight centimeters on the map represent two kilometers in reality. Determine the scale of this map. - Stream cleaning days
Conservationists cleaned the stream in three days. On the first day, they cleared one-third of the stream. On the second day, one-third of the remaining portion of the stream, and on the third day, they cleared the remaining 8 km of the stream. How long i - Sale of eggs
Mrs. Slepičková sells at the marketplace home eggs in small boxes of 6 pieces and in large boxes of 10 pieces. Over the weekend she sold three times more small boxes than large ones, and at a price of 5 Kč per egg she took in 1680 Kč. For the boxes no pay - Apartment cleaning together
A woman cleans an apartment in 8 hours and a man in 10 hours. How many hours will they clean together? - Grandma 12
Tobias wanted to buy a five-part book series about hockey. Each book in the series costs the same amount. He had only 80% of the price for the first and second volumes. Grandma paid the remaining amount for the first two volumes and 60% of the price for t - Heptagon triangle probability
We randomly select three different points from the vertices of a regular heptagon and connect them with line segments. The probability that the resulting triangle will be isosceles is equal to: (A) 1/3 (B) 2/5 (C) 3/5 (D) 4/7 - Company 5
The Photo-Lab company offers digital photo development in the size 9 × 13 cm for 2 CZK per photo, with a flat handling fee of 50 CZK added to each order (regardless of the number of photos). Calculate the effective price per photo if we order 1, 5, 20, or - Pool water depth
The block-shaped pool is 40 meters long and 18 meters wide. Ten thousand eight hundred hectoliters of water were poured into it. How high is the water in it (how deep is the pool)? - North Pole
What is the shortest distance across the globe's surface on a scale of 1:1,000,000 from the equator to the North Pole? - Tree ladder height
How tall is the tree if I lean a 2-meter-long ladder against it? The ladder is 0.7 m away from the tree, and the top of the ladder rests against the tree at 2/3 of its height. - Portioning ice cream
How many scoops of ice cream can we make using a scoop in the shape of a spherical canopy with a radius of 2.5 cm and a height of 4 cm. We have a 2-liter ice cream tub available. When portioning, we will follow the exact measure. - Garden area ratio
The garden is drawn on a scale of 1:200. In what ratio are the real area of the garden and the area of its image? - Milan Emil shadow
Milo, who is 1.85 meters tall, casts a shadow of 74 cm. How tall must Emil be if he casts a shadow 6 cm longer than Milo simultaneously? - Circle rectangle fit
Find out if a circle with an area of 38.5 cm² fits into a rectangle with dimensions of 110 mm and 65 mm. - Garden irrigation area
The rain gauge showed that an eight-millimeter layer of water fell on Mr. Severa's square garden. If Mr. Severa wanted to achieve the same irrigation of the garden, he would have to use 200 full sixteen-liter watering cans. calculate the area of his garde - Crocodile length parts
Pampalini, an animal hunter, told a stranger how he caught a huge crocodile. He claimed that his head was as long as half his tail, and his body was as long as three and a half heads. How long was the crocodile if you know its tail was 4 meters? - Phone call average
A monthly fee of 60 crowns is paid for the phone and 3 crowns for each call. How many calls did we have when one call cost us an average of 4 crowns and 20 pennies? - Bed sand volume The radius of the circular bed is 2 m. Around it is an area filled with sand, the border of which is formed by the sides of a square with a length of 5 m and the bed's perimeter. Calculate the volume of the area covered with sand.
- Lukas Jakub pursuit
Luke left the Tereza cottage and walked at an average 4 km/h speed. Forty-five minutes later, Jacob followed him on a bicycle from the same cottage. He followed Luke's route and caught up with him after 20 minutes. What was Jacob's average speed?
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