Math practice for 13 year olds - page 286 of 422
Number of problems found: 8427
- Applications 5859
2600 pupils applied for admission interviews, which was 130% of the expected number. How many applications were expected? - Inlets 5858
The pool is filled with three inlets in 12 hours. In how many hours would this pool be filled with five inlets? - ABCD square
In the ABCD square, the X point lies on the diagonal AC. The length of the XC is three times the length of the AX segment. Point S is the center of the AB side. The length of the AB side is 1 cm. What is the length of the XS segment? - Isosceles from square
How many isosceles triangles form in a square when we mark all diagonals? - Charity
Tereza earns 50% more than she spends each month. Patricia earns the same as Teresa but spends 20% less than Teresa. Each of them sends a fifth of the unspent money to the children's home account each month. How much more or less does Patricia send than T - Television 5854
Uncle decided to buy a TV for € 200. He had € 34 in cash. He borrowed the remaining amount. What percentage of the borrowed amount was from the price of the television? - Harvesters 5853
One combine harvester harvests a wheat field in 12 hours, and another combine harvester in 16 hours. How long does the same field harvest the third combine harvester alone if all three harvesters harvest the wheat field in 2 hours? - Discounted 5850
The T-shirts were discounted by 30%, so the three T-shirts cost only CZK 50 more after the discount than the two T-shirts cost before the discount. How much did one T-shirt cost before the deal? - Square inscribed
Find the length of the side of the square ABCD, which is inscribed to a circle k with a radius of 10 cm. - Difference 5847
I reduced the unknown number by five and multiplied the result difference by three. Finally, I increase the resulting product by six and get the least common multiple of the numbers 3 and 8. Calculate the unknown number. - Daffodils 5846
There are 20 more tulips than daffodils in the garden. How many tulips bloom in the garden when there are 70 flowers? - Describe 5845
The tower clock has a small hand 1 m long. What path will the tip of the little hand describe in 1 day? - Sick
Six seamstresses should make 60 shirts in five business days. After three days, two seamstresses were sick. How many days have the remaining seamstresses to finish the contract? - Grandmother
Michael's grandmother raises chickens and rabbits. Michael calculated that they have a total of 20 heads and 64 legs. How many animals does Grandma keep? - Expressway 5837
The expressway covers the distance from the starting point to the final station in 4 hours and 20 minutes. A passenger train, whose average speed is 30 km/h less, will cover this distance in 7 h 40 min. What is the speed of the express train, and what is - Together
Grandfather, father, and son are carpenters. They decided to make a wardrobe. Father produces it for 12 hours, his son for 15 hours, and grandfather for 10 hours. How long will they make it together? - Bamboo
At a certain height, the wind broke the bamboo high 32 feet, so the bamboo top reached the ground at a distance of 16 feet from the trunk. At what height from the ground was the bamboo broken? - Body diagonal
Calculate the length of the body diagonal of the 6cm cube. - Mother and son
The mother is four times older than her son. In 16 years, the son will be two times younger than his mother. How many years are mother and son? - In and out
The empty tank is filled in 12 minutes and empty in 16 minutes. If we forget to close the drain, how long does it take to fill? The tank has 1000 liters of volume.
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