Math practice for 13 year olds - page 367 of 424
Number of problems found: 8477
- Unoccupied swallows
The swallows flew in and sat on the benches, one swallow on each bench, while one swallow did not miss an empty bench. If two swallows sat on each bench, one bench would remain unoccupied. How many swallows were there, and how many benches? - Repairman
A repairman promised to complete repair work at the plant in 25 days. However, the work had to be shortened, so he took on a helper. Together, they finished all the repairs in a full day. How long would the helper take to do the work alone? - Probability - tickets
What is the probability when you have 25 tickets in 5000 that you do not win the first (one) prize? - MO - triangles
On the AB and AC sides of the ABC triangle lies successive points E and F, and on segment EF lie point D. The EF and BC lines are parallel. It is true this ratio FD:DE = AE:EB = 2:1. The area of the ABC triangle is 27 hectares, and line segments EF, AD, a - Chord circle
The circle to the (S, r = 8 cm) are different points A, B connected segment /AB/ = 12 cm. AB mark the middle of S'. Calculate |SS'|. Make the sketch. - Painters 4
One painter can do a job in 12 days. After 4 1/3 days, a second painter comes to help, and together they complete the work in 8 days. How long would the second painter take to do the job alone? - Hiker and cyclist
At 7 PM hiker started at 6 km/h to hike. After three hours started on the same trip cyclist at a speed of 15 km/h. After an hour of driving a flat tire and takes him half hour to correct the defect. At what time catch up cyclist with the hiker? - Triangular pyramid
Calculate the volume and surface area of a regular triangular pyramid with a height equal to the base edge, which is 10 cm long. - Keyboards keys
Michael had small keys on the shelf, which you can see in the picture. Their tones were marked on the white keys. Little Clara found the keys. As she took them off the shelf, they fell out of her hand, and all the white keys spilled out. So that the broth - Buttons
The shirt has six buttons, and the blouse has four buttons. All buttons are 176. Shirts and blouses are together 36. How many shirts and blouses? - Park
In the park is a marked diamond-shaped line connecting locations A, D, S, C, B, and A. Calculate its length if |AB| = 108 m, |AC| = 172.8 m. - Cube 9
What was the cube's original edge length after cutting 39 small cubes with an edge of 2 dm left 200 dm³? - Umbrella
Can a 75 cm umbrella fit into a box of fruit? The box's dimensions are 390 mm by 510 mm. - Dog
The dog is tied to a chain, which is mounted in the corner of the yard. The yard is shaped like a square with a side length of 20 meters. The same length is also a dog chain. Are there places in the yard where the dog can't reach? - Acreage
What acreage has a rectangular plot whose diagonal is 34 meters long, and one side has a length of 16 meters? ... - Family
Mom is 39 years old. Karl is eight, and Paul is four. In many years, would the mother be old, just like two children together? - Hypotenuse
Calculate the length of the hypotenuse of a right triangle with a catheti 71 cm and 49 cm long. - Trio 2
Decide whether a trio of numbers is the side of a right triangle: 26,24,10. - Reciprocal equation
Determine the root of the equation: 9/x-7/x=1 - Journey to school
On the way to school, I took a steady step. In the first half of the journey, I counted every second step, and in the second half, every third. How many steps did I take when I went to school? If I counted, double steps are 250 more than three steps?
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