Grade - math word problems - page 172 of 968
Number of problems found: 19341
- Boaters - boat
In summer Marek and Lukáš go on trips in a motor boat. On calm water the boat moves at a speed of v0 = 16 km/h. Both boys set out on a voyage along a river, the water in it relative to the bank moves at a speed of v1 = 4.0 km/h. They set off from the boat - Dice even probability
We roll the dice three times. Calculate the probability of getting an even number on the first, second, or third toss. - Central angle arc
Calculate the central angle if r = 72 cm and the arc length is 12.4 cm. - Polygon diagonal sides
Determine the type of polygon if the number of all diagonals is 90. (Write down the number of its pages.) - Lathe shaft production
The performance of three lathes can be expressed by the ratio 3:5:8. The most powerful lathe produces 136 shafts per shift. How many shafts did each of the remaining lathes make per shift? - Half of money
Mr. Investor deposited half of his money in the bank at 5% interest. He invested the other half in bonds with 7% interest. How much money did he invest when his annual profit was CZK 600? - Restaurant payment comparison
Four students were paying the bill in the restaurant. Jan paid 7 rums and 20 beers, Adam 20 rums and 7 beers, Víťa 12 rums and 25 beers, and Dan 25 rums and 12 beers. Jan paid 20% less than Adam. By how much % less did Víťa pay than Dan? - Population annual decrease
The number of inhabitants of the city decreased in 10 years from 72800 to 56000. What is the annual decrease in the population in percentage? - Chess club probability
The chess club has 5 members, including two girls. The club leader wants to determine by lot which member will represent the club at the representative tournament. What is the probability that a girl will be drawn? - Express train distance
The express train leaves place A at 19:20 and arrives in town B at 20:24. The average speed of the express train is 15 m/s. What is the distance between cities A and B? - Boat water speed The water in the river has a speed of 4.8 km/h relative to the bank. A boat in still water has a speed of 12.6 km/h. a) What is the boat's speed relative to the shore if it is sailing downstream and upstream of the river? b) What path will the boat travel
- General trapezoid
In general trapezoid VLAK, the following are given: |VL| = 5.5 cm; |VK| = 3.5 cm; |LK| = 4.8 cm; |∠VLA| = 70°. Divide it into two triangles by drawing a diagonal. Label the newly created points. Write down the lengths of the line segments. Complete the co - Pavol 3
Pavol and Roman trained on a running track of length 400 m. At a certain moment they ran from the start in the same direction and ran at a uniform motion. When Pavol, after completing five laps in time 6 min 40 s, passed the starting point again, he overt - Triangle angle determination
In one triangle, one angle is 43°, and the second is 15° less than the third. Determine the unknown angles of the triangle. - Two friends
Michael and Teresa have the same 9 km long journey home from SNP Square. It takes Michael an average of 2/5 hours by tram, and Teresa rides a bicycle at an average 18 km/h speed. Guess who comes home early and how much? - Remainder even sum
If we divide numbers by a divisor of 15, we get several different remainders. Write the sum of all possible even remainders that we get this way. - Cannon sound speed
A cannon fired at a distance of 2720 m from the observer. The sound of the shot was heard by the observer 8 seconds after the flash. Calculate the speed of sound propagation in the air if we assume that the observer saw the flash at the same time as the s - Egypt trip discount
A trip to Egypt was discounted by one-third of the price at the last minute. The discount was 5760 CZK. What was the original price of the tour? - School trip graders
Sixth, seventh, and eighth graders took part in the school trip. Sixth graders were 5 more than seventh graders, and eighth graders were 3 less than sixth graders. How many sixth graders were on the trip if there were 73 students in total? - Express train passengers The International Express has eight cars. There are from 97 to 105 passengers in each car. Approximately how many passengers will be carried by express train?
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