Maths practice for 12-year-olds - page 181 of 355
Number of problems found: 7084
- The shadow
The shadow of a 1 m high pole thrown on a horizontal plane is 0.8 m long. At the same time, the shadow of a tree thrown on a horizontal plane is 6.4 m. Determine the height of the tree. - Quadrilateral pyramid
Calculate the volume of a regular quadrilateral pyramid, which has the size of the base edge a = 12 cm and a height of 11 cm. - Diameters of euro coins
When paying, we use euro coins with the following diameters: The 10-cent coin has a diameter of 19.75 mm. The 20-cent coin has a diameter of 22.25 mm. The 50-cent coin has a diameter of 24.25 mm. Find out in what ratio the diameters of these coins are. - Prism height calculation
Calculate the height of a regular quadrilateral prism whose base is a rhombus. The edge in the base is 7 cm long, the opposite edges are 5 cm apart, and we also know that the entire body has a volume of 1dm³. - Waste bin
The cube-shaped potato peel waste bin is 80 cm high. How many liters of waste can we put into it if we know that the dimensions of the base are 40 cm and 50 cm, the basket is already full to exactly half its height, and as soon as the waste reaches the li - Length of the arc
What is the arc length of a circle k (S, r=68mm), which belongs to a central angle of 78°? - Cylinder diameter calculation
Calculate the diameter of a cylinder 7.5 dm high with a volume of 0.6 hl. Express the result to the nearest centimeter. - Cinema phone pursuit
Eva left the cinema at a speed of 4 km/h. Half an hour later, Adam left after her with the mobile phone that Eva had forgotten at the cinema. It was moving at a speed of 6 km/h. How long will it take Adam to catch up with Eva, and how many kilometers from - School painting time
A four-member group planned to paint the school for ten days. After two days, one member fell ill. If they worked with the same effort, how many days were the school painted? - Diggers
The excavation was carried out in 4 days, and five workers worked on it for 7 hours daily. Determine how long it would take to excavate if seven workers worked on it 8 hours a day. - Dog food duration
Food for 42 dogs is enough for 35 days. After 15 days, the two dogs adopted new owners. For how many days will the food for the remaining dogs be enough? - Dividing nuts
How many nuts do you have when dividing them between 2, 3, 4, 5, 6, 8, and 10 children? (smallest possible number) - Scarf knitting time
Grandma knits a scarf. Knit 15 cm per day. He has it ready in 16 days. How many cm does she have to knit in 1 day to make it in 9 days? - Fraction multiplication puzzle
The result of multiplying two fractions is 9 3/5. If one of the fractions is 9 3/7, find the other fraction. - Drying
The raw wood beam weighs 85 kg. It is calculated that drying will reduce its weight in a ratio of 5:6. What will be the weight of this beam after drying? - Block side calculation
The block has the dimensions a = ?, b = 10 m, c = 6.2 m, the surface is 192.04 m². What is the length of side a? - Enclosure width calculation
The enclosure for lions in the ZOO has a rectangular shape with a length of 5.6m and a width of 6.8m. During the reconstruction, the length of the fence must be adjusted to 5.2 m so that the size (areas) of the paddock stays the same. What will be the wid - Cutting the prism
A prism with a square base with an area of 1 cm² and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the body's surface formed from the cube after cutting the prism? - Tourist route
How long is the tourist route when tourists cross four-sevenths of the way on foot, cross the bus twice less than on foot, and pass the last 14 kilometers by boat? - Tram stop
The blue tram stops every 12 minutes, and the red one stops for 8 minutes. At 8 o'clock, they left the stop together. How many times do they meet at a stop before 11 AM?
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