Math practice for 13 year olds - page 361 of 428
Number of problems found: 8549
- Horse distribution
The king distributed his horses to the three sons in a ratio of 7:6:4. The eldest son received 63 horses, the most of all the brothers. How many horses did the king share with his sons? - Work commitment
The student worked 27 hours, fulfilling three-fifths of his commitment. How many more hours should he work to fulfill his promise? How many hours should he work to meet his 120% commitment? - Plum basket
There were plums in the basket. They doubled their number and then took 8 plums. They doubled the number of plums left in the basket again and took 8 plums. They doubled the number once more and took 8 plums. Then, there was no plum left in the basket. Ho - Forest cleanup
A group of nature conservationists (a total of 28 members) and a sports team (16 members) worked for 7 days to clean up the forest park with an area of 10 ha. How many days would conservationists have to work without the help of athletes? - Petrol tank
The petrol tank is filled to three-quarters of its volume. After running out of 875 liters of gasoline, it was filled to only two-fifths of the volume. How many liters does a full tank have? - Gardeners needed
Five equally skilled gardeners mowed one-third of the park in 12 hours. How many gardeners need to be called to mow the rest of the park in 8 hours? - Number equality
Fill in the boxes with the same numbers so that equality applies: 550:? =? x 22 - Football tickets
Adam was at some of his favorite football team's home games last season. Sometimes, he bought a seat ticket for €9, sometimes a standing ticket for €5. He spent a total of €76. How many times did Adam buy a seat ticket, and how many times did he buy a sta - Honor students
In the classroom, 60% of students have good academic results. 20% of them are honored. What percentage of students in the class are honored? - Steel production
45% of pig iron is obtained from iron ore, and 70% of steel from it. How much steel is made from 100 tons of iron ore? - Circular base
Find the radius of the circular base of the vessel, whose perimeter is 2.51 m. Write the result to one decimal place in meters. Via the π sign - Ludolph's number - Footpath area
A footpath 50 cm wide circles the circular flowerbed, with a diameter of 3.6 m. Calculate the footpath area. - Bullet game
Three friends were playing bullets. They did not have the same number of marbles at the start of the game. They had them in a ratio of 2:7:5, while Mišo and Jano had a total of 77 bullets. How many marbles did their friend Peter have at the beginning? Cou - Trapezoid drawing
Draw a trapezoid with arms 4 cm and 7 cm long and with bases 3 cm and 5 cm long - Birthday ages
Grandma and her granddaughter Barunka have a birthday on the same day. During six consecutive birthday celebrations, Grandma's age was always divisible by Barunka's age. How many birthdays did Grandma celebrate at the last of these six celebrations? Grand - Average points
Fifty students took a math test. The average number of points was 68. The top 10 students scored 100 points. What is the average number of points for the remaining 40 students? - Spanish learners
Two-thirds of girls and half of boys learn Spanish in the classroom. There are twice as many boys in the class as there are girls. What part of the class is learning Spanish? - Decagon prism
A regular decagon of side a = 2 cm is the base of the perpendicular prism. The side walls are squares. Find the prism volume in cm³, round to two decimal places. - December salary
The official had a monthly salary of 8,500 euros. During the year, they increased his salary by 15%, so he received a total of 112,200 euros for a year. From which month did they raise his salary? (1 = January .... 12 = December) - Bus passengers
There were a lot of people standing at the bus stop in the morning. Three-eighths of them got on the first bus, one-fourth on the second, and the remaining 9 on the third. How many people were at the stop from the beginning?
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