Math practice for 13 year olds - page 350 of 424
Number of problems found: 8461
- Probability 3219
In recent years, it has rained 12 days in March. What is the probability that it rained on March 18?
- Sikorsky helicopter
The American concern United Technologies is testing the Sikorsky X2 helicopter, which can fly at a record speed of 464 km/h. How long would it take an F22 Raptor fighter flying at a supersonic speed of 1,856 km/h to catch up with a Sikorsky X2 helicopter
- Catheti
One of the catheti of the right triangle has a length of 12 cm. At what distance from the center of the hypotenuse is another cathetus?
- Employees 3212
Employees exceeded the quarterly plan by 13.2%. In the first month, they exceeded the goal by 320 t, in the second by 310 t, and in the third by 300 t. Calculate the quarterly plan.
- Water solution
How many grams of salt should we dissolve in 400 g of water to get a 20% solution?
- Calculate 3209
Calculate the lengths of the sides of the triangle ABC, in which angles α = 113°, β = 48°, and the radius of the circle of the triangle described is r = 10 cm.
- Calculate 3208
Calculate the size of the sides and angles of the triangle ABC if you know vc = 28, α = 51 ° 19 ', β = 67 ° 38'.
- Trees
A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall.
- 6 terms
Find the first six terms of the sequence. a1 = 7, an = an-1 + 6
- Timber log
The ship goes from point x to y. Downstream it takes 4 hours, and upstream 6 hours. How long does it take from a point x to y a log?
- Donuts
At one table, Thomas, Filip, and Martin sit in the dining room. Together they eat 36 donuts. Filip ate twice as much as Thomas and Martin half over Filip? How many have donuts eaten each?
- Cube
Calculate the cube ABCDA'B'C'D's surface if the area of rectangle ACC'A' = 344 mm².
- Remaining 3195
A cyclist covered a track of 40m in 5s. The first section of the 30m track was covered in 3s; the remaining section was covered in 2s. Specify: a) the average speed of the cyclist on the first section of the track b) the average speed of the cyclist on th
- Cuboid - volume, diagonals
The length of the one base edge of cuboid a is 3 cm. The body diagonal is ut=13 cm, and the diagonal of the cuboid's base is u1=5 cm. What is the volume of the cuboid?
- Tiles
How many 20 cm and 30 cm tiles can build a square if we have a maximum of 100 tiles?
- Speedboat and train
At 12:15, a train speeding 55km/h left the station. Twelve minutes later, an 80km/h speedboat set off behind the train. What time does the express train catch up? How far from the station?
- Isosceles trapezoid
In an isosceles trapezoid KLMN, the intersection of the diagonals is marked by the letter S. Calculate the area of the trapezoid if /KS/: /SM/ = 2:1 and a triangle KSN is 14 cm².
- Triangle 3187
In a general triangle, the aspect ratio a: b = 2:3. What is the ratio of heights va: vb?
- Numbered
The pages of the book are rectangular with sides 15 cm and 12 cm long. Hansel tore out all the pages and lined them up so that they touched on the shorter side. How long was the line, if you know that the pages were numbered starting from number 1 and the
- Republic
First, guess which circle has the larger diameter: the one with the same area as the area of the Czech Republic, or the one with the perimeter equal to the length of the border of the Czech Republic? Then check your guess by calculating. The area of t
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