Maths practice for 14 year olds - page 330 of 382
Number of problems found: 7626
- Coal storage
The coal storage distribution received coal shipment within three days. On the first day, distribute a third of the shipments, on the second day of two-fifths of the rest, and on the third day, 300 tons of coal. How many tons of coal were distributed firs - Volleyball
Eight girls want to play volleyball against boys. A team can have six players on the court at one time. How many different starting teams can the coach choose from these girls? - Rectangle
The width of the rectangle is 65% of its length, and its perimeter is 132 cm. Determine the dimensions of the rectangle. - Addends
Number 118 is divided into two addends, so the first addend is 69, greater than 75% of the second addend. - Three friends
Peter is eight times older than Ralph, and Ralph is three times younger than Joseph. Together they are 120 years old. How old is each of them? - Work at plant
The handyman vowed to do repair work at the plant for 25 days. However, work had to be shortened, so he sought help. Together, they made all the corrections for 13 1/3 days. How long would the work take the helper himself? - Hexagons
There is a square ABCD, a square EFGD, and a rectangle HIJD. Points J and G lie on side CD, with DJ less than DG, and points H and E lie on side DA, with DH less than DE. We also know that DJ equals GC. Hexagon ABCGFE has a perimeter of 96 cm, hexagon EFG - Probability
In the lottery, numbers are drawn from five to 50. What are the chances you will win the first prize? - 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? - Two masons
Two masons built the garage together—it took 18 days. If they worked independently, the other would have worked 15 days more than the first. How many days would it take each mason to build the garage 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 hrs. later 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.
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