Math practice for 13 year olds - page 403 of 422
Number of problems found: 8422
- Trough
How many liters of water per second can go via trough, which has a cross-section of a semicircle with a radius of 0.5 m and a water speed of 142 cm per second?
- Balls
Michal told Martin: give me one ball, and I'll have twice as you. Martin said: Give me 4, and we will have equality. How many balls does each have?
- Surveyor
Calculate the area of what may vary rectangular if it was focused by a surveyor and found the dimensions 10 x 16 m while in each of the four joint points can be position deviation 8 cm?
- Madams
During spring cleaning, ladies were going to wash the windows. Mother takes 5 hours to wash all the windows, the grandmother takes 3 times longer, and Paula washes all the windows in 2 hours. How many hours will you spend washing the windows of this "wome
- Gon functions
Decide which numbers (values of trigonometric functions) are positive or negative (or zero). Positive mark +1 and negative -1.
- Car
The car goes from point A to point B at speed 71 km/h and back 83 km/h. If it goes there and back at speed 82 km/h trip would take 5 minutes shorter. What is the distance between points A and B?
- Lock
A combination lock will open when the right choice of 3 numbers (from 1 to 16 inclusive) is selected. A. How many different lock combinations are possible? B. Is the combination lock named appropriately?
- Quadrant II
Calculate the radius of the quadrant, which area is equal to the area of the circle with radius r = 15 cm.
- Words
How many 2 letters "words" are possible using 14 letters of the alphabet? a) without repetition b) with repetition
- Inheritance
After death, the father († 62) remained the mother (his wife) and 3 children. Inheritance by law is that the first mother will automatically get half of the property and the other half inherited by heirs, the mother and her 3 children by the same share. C
- Shelf
How many ways are there to arrange 6 books on a shelf?
- Area codes
How many 6 digit area codes are possible if the first number can't be zero?
- Thales
Calculate the length of the Thales' circle described to the right triangle with hypotenuse 44.2 cm.
- Homework
Together, the mother and Kate weigh 21.9 kg more than the father. The father weighs 8.1 kg more than the mother. The father weighs 40.2 kg more than Kate. Determine the weights of the father, mother, and Kate.
- Count of roots
How many solutions have equation x * y = 7757 with two unknowns on the set of natural numbers?
- Efficiency
A certain device consumes 50 kW and delivers 17 kW. Find its efficiency.
- Base
Compute the base of an isosceles triangle, with the arm a=20 cm and a height above the base h=10 cm.
- Homework - jumps
Sasha jumped 131 cm Peter 4 cm more than Jirka. Jirka 6 cm less than Misha. Misha 7 cm less than Filip, and Filip is half as much as Sasha and Petr together. How far does each jump?
- 100 %
How much is 100% if 82 % is 77?
- Percentages
Expressed as a percentage:
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