Math practice for 13 year olds - page 377 of 424
Number of problems found: 8477
- Clocks
What distance will describe the tip of a minute hand 6 cm long for 20 minutes when we know the starting position with finally enclosed hands at each other at 120°? - Annulus
Two concentric circles form an annulus with a width of 10 cm. The radius of the smaller circle is 20 cm. Calculate the area of the annulus. - Arc
What area is occupied by flowers planted in a circular sector with a radius of 3 m and a central angle of 45°? - Two circles
Two circles with a radius of 4 cm and 3 cm have a center distance of 0.5 cm. How many common points have these circles? - Jane and Miro
Jane's brother Martin is 42 years old. He is three times as old as Jane when Martin was for as many years as there are now Jane. How old is Jane? - Circle sector
The circular sector with a central angle 160° has an area 452 cm². Calculate its radius r. - Janitor
The janitor tosses 28 cm layer of snow on the school grounds for 90 minutes. How many friends would have to call for help if snow needs to have bowled for 15 minutes? We assume that at the same time, we all have the same amount of snow. - Troops - soldiers
Food stocks will last 20 soldiers during the four-day training. If four soldiers become sick, how many days could they extend training? - Pumps 3
Two pumps of the same power fill the garden pool for 10 hours. How many of these pumps would we have to use if we want to shorten the filling of the pool to four hours? - Hurry - rush
I will travel from the school to the bus stop at an average speed of 7 km/h for 24 minutes. How fast do I need to go if I need to get there in 17 minutes? - Floating floor
In the new building, a floating floor worker is considered in each room. Thirty minutes lay 9 m² of the floor. How long did three workers lay the floor in four rooms with a total area of 90 m²? - Tea blend
Tea blends are made from two kinds of tea. In standard tea, the mixture is two teas in a ratio of 1:3, and 40 g costs 42 CZK. In the premium tea mixture, weighing two teas in the 1:1 and 50 grams ratio costs 60 CZK. How much cost 10 grams of a more expens - Building base
Excavation for the building base is 350x600x26000. Calculate its volume in m³. - Class pairs
In a class of 34 students, including 14 boys and 20 girls. How many couples (heterosexual, boy-girl) can we create? By what formula? - Family parcels
The father will divide the land so that the older son has three bigger parts than the younger son. Later elder son gave a 2.5 ha field to the younger, and they had both the same. Determine the area of the family parcel. - Digits A, B, C
For the various digits A, B, and C is true: the square root of the BC is equal to the A, and the sum B+C is equal to A. Calculate A + 2B + 3C. (BC is a two-digit number, not a product). - Miraculous tree
The miraculous tree grows so fast that the first day increases its height by half the total height of the second day by the third, the third day by a quarter, etc. How many times will it increase its height after 6 days? - The rod
The rod is painted in four colors. 55% of the bar is painted blue or green, 0.2 of the rod, 1/8 is brown, and the remaining 45 cm is white. How long is the rod? - Water well
A drilled well has a depth of 20 meters and a radius of 0.1 meters. How many liters of water can fit into the well? - Polygon 42
Which polygon has 42 more diagonals than sides?
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