Math practice for 13 year olds - page 238 of 413
Number of problems found: 8260
- Line Segment Division Ratio
Divide a line 9 cm long in a ratio of 3:5:4 - Candidates
The citizens of Kocúrkovo elected a mayor from two candidates. The winning candidate received 51% of all votes, which was 12 votes more than the defeated candidate received. 75% of all eligible voters came to the vote and all votes were valid. How many ci - Down syndrome
Down syndrome is one of the serious diseases caused by a gene mutation. Down syndrome occurs in approximately every 550-born child. Express the incidence of Down's syndrome in newborns at per mille. - Masquerade ball
Marie wants to make a cone-shaped witch's hat for a masquerade ball. How much material will it need if it counts on an annular rim with diameters of 28 cm and 44 cm? The hat side length is 30 cm. Add 5% of the material to the bust. Round to cm². - Probability of Digit Sum
There are chips in the bag with numbers from 1 to 25. What is the probability of choosing a number with a digit sum of 6? - Trip money puzzle
Vášek went on a trip, and since he had little money, he lent Lukáš the same amount he had. When he spent 40 crowns, he again borrowed from Adam the same amount as he had in his wallet. When he spent 40 crowns again, he was completely penniless. What amoun - Four-Digit PIN Codes
How many 4-digit numeric pin codes can be created so that not all four digits are identical? - Prism 4 sides
The prism has a square base with a side length of 3 cm. The diagonal of the sidewall of the prism (BG) is 5 cm. Calculate the surface of this prism in cm square and the volume in liters. - Weight of Gold Pyramid
The teacher cast the gold in the shape of a regular triangular pyramid with a base edge length of 12 cm and a height of 8 cm. The density of gold is 19,320 kg/m³. What is the weight of the casting? - Castle tower
The castle tower has a cone-shaped roof with a diameter of 10 meters and a height of 8 meters. If we add one-third to the overlap, calculate how many m² of coverage is needed to cover it. - Cube into cylinder
If we dip a wooden cube into a barrel with a 40 cm radius, the water will rise 10 cm. What is the size of the cube edge? - Pyramid height
Find the volume of a regular triangular pyramid with edge length a = 12 cm and pyramid height h = 20 cm. - Pyramid Height and Surface
Calculate the height and surface of a regular quadrilateral pyramid with a base edge a = 8 cm and a wall height w = 10 cm. - Pyramid Volume Wall Height
Calculate the volume of a regular quadrilateral pyramid, whose wall height is w = 12 cm and the edge of the base is a = 5 cm. - Pyramid Volume Height Calculate the body height in a regular quadrilateral pyramid with a volume V = 163.3 cm3, whose base edge has a size a = 0.7 dm.
- Medians 2:1
The Median to side b (tb) in triangle ABC is 12 cm long. a. What is the distance of the center of gravity T from vertex B? b, Find the distance between T and the side b. - Employee illness
Out of 150 employees, six are sick. Everyone else was at work. What percentage were ill, and what percentage of employees were at work? - Pyramid model
Peter brought back from his vacation in Egypt a model pyramid in the shape of a regular quadrilateral pyramid. He measured that its base edge has a length of 7 cm and the lateral edge has a length of 10 cm. The model has a mass of 1 kg and is made of an u - Reading records
Lucy, Tereza, and Patricia decided to compile the compulsory reading records together. It would take 30 days for Lucy alone, 36 for Tereza, and 45 for Patricia. How long will it take to make records if they will work together? - The difference
The difference between the two numbers is 1375. If their exact quotient is 12. Find the two numbers
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