Math practice for 13 year olds - page 208 of 413
Number of problems found: 8260
- Company employee calculation
Among all employees of one company, there are a total of 20% men and 80% women. If this company hired 45 new employees, of which 32 were men and 13 were women, exactly 30% of the company's employees would be men. Determine how many employees the company h - The bases
The bases of the isosceles trapezoid ABCD have 10 cm and 6 cm lengths. Its arms form an angle α = 50˚ with a longer base. Calculate the circumference and area of the ABCD trapezoid. - Circumference - bed
The perimeter of the round bed is 36 m. Find the length of the part of its circumference that belongs to the given center angles of 180° - Annulus from triangle
Calculate the area of the area bounded by a circle circumscribed and a circle inscribed by a triangle with sides a = 25 mm, b = 29 mm, c = 36 mm. - The triangles
Two similar triangles, KLM and ABC, are given. Calculate the lengths of the remaining sides of the triangle KLM. If the lengths of the sides are a = 7 b = 5.6 c = 4.9 k = 5 - Coordinates hexagon
The regular hexagon ABCDEF is given. Point A has coordinates [1; 3], and point D has coordinates [4; 7]. Calculate the sum of the coordinates of the center of its described circle. - Hectoliters - reservoir
The reservoir has the shape of a sphere with a diameter of 10 m. How many hectoliters of water is in it when it is filled to 90%? How many kg of paint are needed for painting if it is painted twice, and 1 kg of paint is enough for 6 square meters? - City plan
The city planned to repair the highway section for 20 hours. Workers reduced this time by 20%. How long did the repair take? (express in hours and minutes) - Large family
The average age of all family members (children, mother, father, grandmother, grandfather) is 29 years. The average age of parents is 40 years, grandparents 66 years, and all children are five years. How many children are there in this family? - Beet field workers
Three times more women than men work in the beet field. Eight men and 8 women load beets. The rest of the workforce, in which there are five times more women than men, cuts beets. How many men and how many women work in the fields? - Theater performance attendance
A theatre performance was attended by 258 students who paid €129 in total. How many students would need to attend for the ticket revenue to reach €150? - Steps - longer and shorter
The daughter's step measures 50 cm, and the father's step measures 70 cm. The daughter counted 294 steps on the measured section. How many steps will her father take in the same section? - Fabric payment calculation
We paid 99 euros for 8 meters of fabric. How much do we pay for 9.5 meters of the same substance? - Apple harvest calculation
Four friends working at approximately the same pace took part in the summer brigade, harvesting apples. They peeled 68 boxes of apples in the morning. How many friends would they have to call for help if they robbed 187 crates in the same amount of time? - Bus ticket collection
The bus driver collected 17.5 euros for 25 adult bus tickets. How many euros will 36 adult passengers pay? - School plot modification
Eight pupils modified the school plot in 2 hours. How many students do we have to send to modify the school grounds if we do not want to exceed the 1.5-hour limit? - Sphere aquarium volume
The aquarium has the shape of a sphere with a diameter of 36 cm. Estimate and then calculate how many liters of water will fit in the aquarium when we fill it to the brim. - Wheel circumference
The circumference of the first wheel is 0.5 m larger than the circumference of the second wheel. The first wheel turns on the 36 m track as many times as the second on the 30 m track. Determine the rims of both wheels. - The conical
The conical candle has a base diameter of 20 cm and a side of 30 cm. How much dm³ of wax was needed to make it? - Lookout tower
Calculate the height of a lookout tower forming a shadow of 36 m if a column 2.5 m high has a shadow of 1.5 m simultaneously.
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