Math practice for 13 year olds - page 292 of 424
Number of problems found: 8461
- 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.
- Cyclists 5827
Cyclists ran 3/7 of the total length during the race and had 80.5 km to finish. How long is the race?
- Two forces
The two forces, F1 = 580N and F2 = 630N, have an angle of 59 degrees. Calculate their resultant force, F.
- According 5819
According to the sowing plan, sugar beet and grain are to be sown on an area of 840 ha. The area sown with sugar beet should be three times larger than the area sown with grain. What area should the grain be on?
- Orchard
Three-fifths of the orchard are apple trees, and one-third of the trees are cherries. The remaining five trees are pears. How many trees are in the orchard?
- Disassembled 5815
The children disassembled 48 bananas on the trip. Some children took 1 banana each, 6 children took 2 bananas each, and last, Anina was the only one who did not take even 1 banana. How many children were on the trip?
- Calculate 5809
In the ABCD rectangle, the AB side is 16 cm long, and the AC diagonal is 20 cm long. Calculate the perimeter and area of the rectangle.
- Right-angled 5804
We sorted the lengths of the sides of the two triangles by size: 8 cm, 10 cm, 13 cm, 15 cm, 17 cm, and 19 cm. One of these two triangles is right-angled. Calculate the perimeter of this right triangle in centimeters
- Tea mixture
Of the two sorts of tea for 180 CZK/kg and 240 CZK/kg, we make a mixture of 12 kg that we should prepare for 200 CZK / kg. How many kilos of each sort of tea will we need to be mixed?
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