Maths practice for 12-year-olds - page 197 of 347

Number of problems found: 6923

Spruce log weight
Spruce logs with a diameter of 270 mm and a length of 4 m are carefully loaded onto a wagon with a bed width of 2,700 mm and stacked in 9 layers. How much does such a load of spruce wood weigh if its density is 700 kg/m³?
Race car loss
Two race cars passed the finish line at a speed of 216 km/h at a distance of 0.003 s. Express the loss of the second in centimeters.
The ketchup
If 3 1/4 of tomatoes are needed, make one bottle of ketchup. Find the number of tomatoes required to make 4 1/5 bottles.
The wellbore
The wellbore has a tributary of 2 m³ per hour. When there is no tapping, there are a stable 28 liters of water in the well. The pump suction basket is at the bottom of the well. At 14.00, the water was pumped out at a rate of 0.5 liters every second. What
Picture frames
Destiny has to make 24 picture frames. Each frame uses 16 3/8 wood trim. she completed 2/3 on the first day. How many inches of wood trim is needed to complete the remaining frames on the second day?
Rectangles
How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles.
Cyclists and walkers
A group of tourists started at 8:00 at a speed of 4 km/h walk. At 10:30, another group started on a bike and caught up with a group of tourists at 10:50. What was the average speed of cyclists?
Kinetic energy
A car traveling at a speed of 25 km/h increased the speed to a) 75 km/h b) 100 km/h when exiting the highway. How many times has its kinetic energy increased?
Hammer fall height
From what height does a hammer weighing 200 kg fall if its initial potential gravity was 6 kJ?
Eight masons
Eight masons will plaster a wall with an area of 1440 m² in 9 days. They work 8 hours a day. How much area will plaster six masons in 4 hours?
Vehicle meeting calculation
The motorcycle left Děčín at an average speed of 40 km/h. At the same time, a passenger car from Prague drove towards him at an average speed of 80 km/h. The distance from Prague to Děčín is about 100 km. How long and at what distance from Děčín will both
Where and when
The truck left Kremnica at 11:00 h at a speed of 60 km/h. At 12:30 h, the passenger car started at an average 80 km/h speed. How many kilometers from Kremnica will the passenger car reach the truck, and when?
Brothers and sisters
There are 35 children in the class; 23 have a brother, and 27 have a sister. When five children in the class have no brother or sister, how many children have both a brother and a sister?
Tram meeting time
Trams of five lines run at intervals of 5, 8, 10, 12, and 15 minutes. At noon, they left the station at the same time. What time will they meet again? How many times will each tram pass the stop during that time?
Tree inspection calculation
During the inspection of the trees, we found that 1/3 was broken and 2/5 bitten. In the beginning, there were only 40 pieces. How much was planted in total?
Two villages
On the map with a scale of 1:40000 are drawn two villages actually 16 km away. What is their distance on the map?
Ski slope on a map
On a plan with a scale of 1:8000, the ski slope has 12 cm and 0.5 cm lengths. What is the actual piste area in ares?
Circle radius calculation
The area of the two circles is in a 4:9 ratio. The larger circle has a diameter of 18 cm. Calculate the radius of the smaller circle.
Three lines
At 6 AM, three bus lines depart from the station. The first line has an interval of 24 minutes. The second line has an interval of 15 minutes. The third line runs at regular intervals of more than 1 minute. The third line runs at the same time as the firs
Radius
Find the radius of the circle with area S = 200 cm².

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