Math practice for 13 year olds - page 75 of 415

Number of problems found: 8286

Trip breakfast
90 children participated in a trip, boys and girls in the ratio 2:3. Each participant chose exactly one breakfast. Half of all boys chose variant D, a quarter of all boys chose variant C. A third of all girls chose variant A and a third of all girls chose
Classroom plan width
The classroom is 6.8 m wide. Determine its width on a 1:50 scale plan.
Plan scale determination
Determine the scale of the plan if the actual length of 51 m is shown on the plan by a segment of length 3 cm.
Meter ratio increase
What ratio must we increase to 1 m to get 1 m 50 cm?
Ratio adjustment decimal
Adjust ratio 1.6:0.8
Rectangular garden
The garden is 24 m long and 15 m wide. Determine the ratio of the dimensions of this rectangle.
Picture ratio reduction
The picture for the textbook was reduced to a ratio of 2:5. What are the dimensions of the reduced image if the original dimensions were 20 cm and 15 cm?
Circle arc angle
Points A and B lie on the circle k. The circumference of the circle k is 40 CM, and the length of the circular arc AB is 10 CM. Determine the size of the angle ABS.
Rectangle dimensions 2
The length of the rectangle is 5 cm greater than its width. Determine the rectangle's dimensions if you know that its perimeter is 22 cm.
Car wash help
Four guys would finish washing cars at a gas station in 4 hours. After one hour, two more friends come to help them. How long will it take to finish the car wash?
Lathe part production
Four lathes machine 32 parts in 1 hour. How many parts does 1 lathe produce in 2 hours?
Petr card piles
Peter divided 32 playing cards into two piles. He found that one pile had three times as many cards as the other. How many cards were in each pile?
Diameter of a drum
Winding drum length 180 mm, initial diameter 60 mm. Using a 6 mm rope with a length of 50 m, what will be the diameter of the wound drum with the rope?
Water pressure bottom
The hydrostatic pressure at the bottom of a cylindrical water container is 10 kPa. The bottom has an area of 0.25 m². How much pressure does the water exert on the bottom?
Map scale setting
2.5 cm on the map represents 6.25 km in reality. Set the scale of the map.
Cooker electrical work
A cooker connected to a 40 V voltage source draws a current of 0.5 A. Determine the amount of electrical work the cooker does in 3 minutes.
Pupils - class
There are 28 pupils in the class. The ratio of boys to girls is 3:5. Find the number of girls.
Hop picker hiring
Eight hop pickers harvest in 24 days. How many more pickers must be hired if the hops need to be harvested in 16 days?
Triangle - perimeter
The perimeter of the triangle is 110 cm. Side a is 6 cm longer than side b and 8 cm shorter than side c. Determine the lengths of the sides of the triangle.
Pavel Petra age
The sisters Paul and Patricia are 29 years old together. Paula is 3 years younger than Patricia. HOW old is Pavle? Thank you very much.

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