Maths practice for 12-year-olds - page 183 of 352
Number of problems found: 7033
- 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. - 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? - Performance 22343
The theatrical performance was attended by 258 students who paid 129 euros. How many students have to see the show to raise to 150 euros? - Daughter's 22333
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? - Substance 22323
We paid 99 euros for 8 meters of fabric. How much do we pay for 9.5 meters of the same substance? - Approximately 22313
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? - Passengers 22303
The bus driver collected 17.5 euros for 25 adult bus tickets. How many euros will 36 adult passengers pay? - Students 22293
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? - Company's 22283
Ten painters painted the company building in 20 days. In how many days would six painters paint the company's building? - Calculate 22263
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. - 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. - Cylindrical 22193
The pool is cylindrical, with a diameter of 3.6 meters and a depth of 1.2 meters. How long will it be filled when 2 liters of water flow in 1 second? - 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 cm square. What is the actual length and width of the field? - Water tank
300 hl of water were filled into the tank 12 m long and 6 m wide. How high does it reach? - T-shirts 22133
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 - Pardubice 22123
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? - Chestnuts
Three divisions of nature protectors participated in the collection of chestnut trees. 1. The division harvested 1250 kg, the second division by a fifth more than the first division and the third division by a sixth more than the second division. Thus, th - 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
- Winch drum
Originally an empty winch drum with a diameter of 20 cm and a width of 30 cm on the rescue car, he started winding a rope with a thickness of 1 cm from edge to edge. The winch stopped after 80 turns. It remains to spin 3.54m of rope (without hook). How lo
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