Math practice for 13 year olds - page 209 of 415
Number of problems found: 8281
- 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. - A map
A map with a scale of 1:5,000 shows a rectangular field with an area of 18 ha. The length of the field is three times its width. The area of the field on the map is 72 cm². What is the actual length and width of the field? - Boy cap shirt
There were 40 boys in the school. They were branded with caps and t-shirts. Twenty-five boys had blue caps. Twenty boys had a blue cap and a yellow T-shirt. a) How many boys had a yellow shirt? b) How many boys did not have a blue cap? c) How many boys on - Car pursuit calculation
At 1 p.m., a Škoda Felicia drove from Pardubice to Kolín at a speed of 60 km/h. Half an hour later, a Škoda Oktavia drove the same way at a speed of 80 km/h. When will Oktavia catch up with Felicia? - Car motorcyclist meeting
The distance from Olomouc to Brno is 77 km. At 4:00 PM, a passenger car left Olomouc for Brno at an average speed of 100 km/h. Half an hour later, a motorcyclist drove from Brno to Olomouc at an average speed of 80 km/h. What time do they meet? - Two trains
The train runs at speed v1 = 72 km/h. The passenger sitting on the train observed that a train long l = 75 m in 3 s passed on the other track in the opposite direction. Calculate the speed of this train. - Garden exchange The garden has a rectangular trapezoid shape, the bases of which have dimensions of 60 m and 30 m and a vertical arm of 40 m. The owner exchanged this garden for a parallelogram, which is 7/9 of the area of a trapezoidal garden. What is the size of the ne
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