Math practice for 13 year olds - page 160 of 428
Number of problems found: 8555
- Carousel for children
There are 5 seats evenly distributed on the children's carousel in the shape of a circle. What kind the arm of the carousel (connecting the center of the carousel to the seat) is long if the distance between with two seats is 1.2m? - Axial section
Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm. - Milk cream
They used a quarter of the imported milk to make butter, half to make a cream, and 100 liters to make cottage cheese at the dairy. How many liters of milk was used to make the cream? - Lodge view angle
The observer lies on the ground at a distance of 20m from a hunting lodge 5m high. A) At what angle of view does the posed see? B) How much does the angle of view change if it approaches the sitting by 5m? - Passenger boat distribution
During the rescue of the sinking ship, the passengers were divided into three boats in a ratio of 3:4:5. There were 15 passengers in the first boat. How many passengers were rescued together? - Tree breaking height
The 30-meter tree broke. Its top fell 5m from the trunk. At what level did it break? - Seats on carousel
There are 12 seats evenly distributed on the children's carousel in the shape of a circle. How long is the arm of the carousel (connecting the center of the carousel to the seat) if the distance between the two seats is 1.5m? - Natural number creation
How many natural numbers can you make from the digits contained in the number 4002? No digit may be repeated in the number entry. However, not all digits must be used. Sort the numbers in ascending order of size. - Mushrooms
Mr. Mushar collected mushrooms. One-fifth he gave to neighbors, one-third to dry, and divided the remaining mushrooms into three equal parts: himself, son, and daughter. Daughter Dominika got 42. How many mushrooms did he collect in total, and how many mu - Two-digit number In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits but in reverse order, we get product 3 478. Find the original number.
- Book reading ways
Martina borrowed three novels and two travelogues from the library. He will read the travelogues first. How many ways can he read the books? - Top-open tank
The top-open tank resembles a truncated rotating cone, standing on a smaller base. Its volume is 465 m3, and the bases' radii are 4 m and 3 m. Find the tank's depth. - The truncated
The truncated rotating cone has bases with radii r1 = 8 cm, r2 = 4 cm, and height v = 5 cm. What is the volume of the cone from which the truncated cone originated? - We roll
We roll two dice A. - what is the probability that the sum of the falling numbers is at most 4 B. - is at least 10 C. - is divisible by 5? - Square root
Calculate the product of the sum and difference of the numbers of the square root of 5 and the square root of 3 (in this order). - Triangle angle ratio
The sizes of the interior angles of the triangle are in a successive ratio of 6:4:5 are these angles big? - Swimming student
There are 200 pupils in the class, 40% of whom cannot swim. How many students can swim? - Workshops
The plant has three workshops. In the first workshop, produce five products/hour. In the second 8 products/hour, and in the third, seven products/hour. In the first workshop, they produced 240 products. In the second 400 and the third 350 products. Find t - Czech coins
John has 540 CZK, but he only has 10 and 20 CZK coins. We know that he has 10 CZK coins, seven times more than 20 CZK coins. How many 10CZK coins and how many 20CZK coins did he save? - Flower box
A wooden flower box in the shape of a cuboid has the following external dimensions: length 120 cm, width 15 cm, and height 20 cm. It is made of wooden slats 1.5 cm thick. a) At least how many m² of slats were needed to make it? Calculate according to the
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