Math practice for 13 year olds - page 214 of 415

Number of problems found: 8281

Fire tank
1428 hl of water is filled in a block-shaped fire tank with the edges of the base 12 m and 7 m. Calculate the area of water-wetted areas.
Test point threshold
According to school regulations, a student receives an excellent grade if he achieves at least 26 points in a test with a total of 30 points. What is the minimum number of points a student must obtain in a test with a total of 50 points if the same passin
The florist
A consignment of 200 roses arrived at the florist in the morning. She sold more than half of them during the day. She wants to tie bouquets of the remaining roses. One rose will always be left if she ties a bouquet of three, four, five, or six roses. Dete
Checkout waiting time
When only three checkouts are open in a supermarket, people wait in line for an average of 10 minutes. How many minutes will the average waiting time in line be if two more checkouts open?
Outside tangents
Calculate the length of the line segment S₁S₂ if the circles k₁ (S₁, 8 cm) and k2 (S₂,4 cm) touch the outside.
Class student ratio
The class's ratio of boys to girls is 5:7. There are ten boys. How many students are in the class?
Corona again
The population on long island is 7.75 million, and the coronavirus has affected 22,178. What percent of the population is affected? (looking for one case per n people)
Dice roll probability
We roll two dice, red and green. What probability will a more significant number fall on the red dice than on the green?
Kilometers
The scale of the map is 1:100,000. How long is the road, which is 4.7 cm long on the map, really long?
Five-digit divisibility
Find the smallest five-digit number A432B that is divisible by 15.
Marks at school
There are 30 students in the class. Five students in the class had a mark of three or triple at the end of the math certificate, and the other students had a mark of one or two. The average mark in all students' mathematics in the class at the end of the
Drug cure probability
The drug successfully treats the disease in 96% of cases. Your doctor will treat 50 patients with this medicine. What number of cures is most likely?
Candy ratio sharing
Lucy, Jan, and Matthew shared the candy in a ratio of 3:4:5. Matthew got 20 sweets. How many candies did they share?
Roof tile calculation
Three hundred eighty-four tiles are used to cover the roof of 48 m². How many identical tiles are used for a rectangular roof measuring 6 m and 9.5 m?
Cylindrical can diameter
When we pour 3 l of water into a cylindrical tin can, the water rises to 20 cm. Calculate the average can.
Tractor plowing calculation
Two tractors are working on plowing the field. If only the first tractor plowed, it would plow the field in 3 hours. The second tractor would plow the field by itself in 6 hours. How long will it take to plow if they work together, but the other starts wo
Integer cube
The length of the cube edge is an integer. Its volume is in cm³, a five-digit number divisible by 1331. What is the length of the edge of this cube?
Inspector passenger calculation
Five inspectors will catch an average of 70 black passengers in 6 days. How many black passengers are caught by nine inspectors in 10 days?
Triangle angle ratio
Calculate the magnitudes of the interior angles of a triangle if you know that these are in a 2:3:5 ratio.
Rhombus calculation complete
The rhombus has the dimensions a = 9.1 cm; b = 8 cm; height to side a: va = 7.3 cm. Calculate the perimeter, area, and size of the second height.

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