Maths practice for 12-year-olds - page 353 of 362
Number of problems found: 7224
- Solution
In 469 dl, the red solution is 84 dl in red color, and in 102 dl, the blue solution is 52 dl in blue color. How many dl of red and blue dl color solution must be mixed to get a mixture of 247 dl to contain 116 dl of color?
- Warehouses
To four warehouses is going cement in 50 kg bags, from first one third to the second quarter of the total. The third store got two-thirds of the rest, and the last 120 tons came to fourth. How much cement is in all warehouses, and how much got everyone?
- IS trapezoid
Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm.
- Scrap
From 18 products are 5 scraps. What is the probability that the random pick of 2 products has no defective product?
- Two squares
Two squares with sides in the ratio 3:7 have a sum of their perimeters 58 cm. Calculate the sum of the area of these two squares.
- Tape
Video is 199% more expensive than a tape recorder. How many percent is a tape recorder less expensive than a video?
- Elections
The elections attended a total of 4818 voters. First-day 39 men more than women, the second-day 21 women more than men. How many women attended elections?
- Rectangular cuboid
The rectangular cuboid has a surface area 4131 cm², and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid.
- Troops
The route is long 175 km. On the first day, the first regiment went at an average speed of 14 km/h and back at 24 km/h. On the second day, the second regiment went on the same route at an average speed of 25 km/h there and back. Which regiment will take t
- Pediatrician
Pediatrician, this month of 20 working days takes 4 days holidays. What is the probability that it will be at work on Monday?
- Hens
13 hens will eat spilled grain from 6 AM to 4 PM. At 11 hour grandmother brought 5 hens from the neighbors. At what time was grain out?
- Camp
In a class are 36 children. During the holidays, 20 children were in the camps, and 18 children were on holiday with their parents. Find the minimum and the maximum number of children that may have been in the camp and on holiday with their parents at the
- Cone
The circular cone of height 14 cm and volume 4396 cm³ is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut.
- College
At the college are at 73 rooms, 254 students. Some rooms are triple and some quad. How many triple and quadruple rooms there is if it is all fully occupied?
- Motion problem
From Martina to Levíc, go car at speed 89 km/h. From Levíc to Martina, go another car at speed 71 km/h. How many minutes before the meeting will be cars 29 km away?
- Ravens
The tale of the Seven Ravens was seven brothers, each of whom was born exactly 4 years after the previous one when the eldest of the brothers was 4-times older than the youngest, mother all curse. How old were seven Ravens brothers when their mother curse
- Class
When Pythagoras asked how many students attended the school, he said: "Half of the students studying mathematics, 1/4 music, seventh silent, and there are three girls at school." How many students had Pythagoras at school?
- Motion
If you go at speed 6.2 km/h, you come to the station 52 minutes after leaving the train. If you bike to the station at speed 23 km/h, you come to the station 51 minutes before its departure. How far is the train station?
- Area 4gon
Calculate the area of 4-gon, two, and the two sides are equal and parallel with lengths 11, 5, 11, and 5. Inner angles are 45°, 135°,45°, 135°.
- Day
What part of the day is 23 hours 22 minutes? Express as a decimal number.
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