Basic operations and concepts - math word problems - page 220 of 332
Number of problems found: 6633
- Vertex of the rectangle
Determine the coordinates of the vertex of the rectangle inscribed in the circle x²+y² -2x-4y-20=0 if you know that one of its sides lies on the line p: x+2y=0 - Washing machine loan
Uncle Wendell paid 350 euros for a new washing machine, which he had to borrow 40 percent. He paid off the loan for one year - 15 euros per month. How much did he pay in interest? What was the interest rate on loan? - Two boys
Two boys weighing 60 kg and 90 kg move on roller skates and are attracted to each other by a rope. One boy exerts a force of 15 N. What force does the other boy exert? What accelerations will the boys gain? Do not consider friction or air resistance. - Bulbs and electricity
In the sports hall, 875 identical light bulbs are on for 2 hours. How long would 100 such light bulbs need to be on to consume the same amount of electricity? - Tunnels
Mice built an underground house consisting of chambers and tunnels: • every tunnel connects one chamber to another (no dead ends), • exactly three tunnels lead from each chamber to three distinct other chambers, • from every chamber, a mouse can reach any - Opposite direction - walkers
Father Eduard from place A and son Jaroslav from place B set out at the same time towards each other. The faster one is the father and the slower one the son. They meet at 12 o'clock and continue further along the route of their "opposite walker". The fas - Number machine modifications
The Numerometer has invented as the number machine that changes numbers until it makes them single-digit numbers. He still makes the change according to the same rule. For example: from the number 87312, after six modifications, he gradually made the numb - Different Colored Necklaces
Elena has four beads: yellow, two pink, and green. How many different colored necklaces can he create? - Goal divisions
School players scored seven goals in the match. List all possible goal divisions into three-thirds and add up how many. - TV diagonal
A diagonal TV is 0.56 m long. How big is the television screen if the aspect ratio is 16:9? - Relay
A relay race will be run by the class team of Kate, Alice, Michaela, and Erica. Determine how many different running orders are possible, given that each of them can run in any position. - Glass with icecream
We have six kinds of ice cream and five kinds of fruit. If we put three cups of ice cream and two fruits into each glass, how many uniquely decorated glasses can there be? - Visiting Cities Order Ways
The tourist group wanted to visit the four Slovak cities: Bratislava, Banská Bystrica, Ružomberok, and Levice. They decided that Levice would be the third place they would visit. How many different ways could they organize their city visit program? - Darts Score Combinations
Adam was practicing for a darts competition in class. Every day at home, he threw darts at a target in which the individual fields were worth 1,3 and 5 points. He threw 9 darts every day and always scored 27 points. He is in good form and never missed a t - Average grade puzzle
The top five mathematicians in the class took on the teacher's help in calculating the paper's average grade. They dictated the following results: Mischa: "I came up with 3.30. " Dasha: "That's weird because it worked out precisely at 3.45. " Jana: "You p - Collecting nuts
Ondra, Mathias, and Kuba are returning from collecting nuts. They have a total of 120. Mathias complains that Ondra has the most, as always. The father orders Ondra to sprinkle it on his Mathias so that the number of nuts doubles. Now Cuba is complaining - Two trains
Through the bridge, long l = 240 m, the train passes through the constant speed at time t1 = 21 s. A train running along the traffic lights at the edge of the bridge passes the same speed at t2 = 9 s. a) What speed v did the train go? b) How long did a tr - The MRT train
The MRT running from Taft to North Avenue has a starting velocity of 60 km/hr. After a malfunction, the brakes failed, making the train run at a velocity of 80 km/hr. What is the acceleration rate if the time for velocity change is 5 seconds? - Mushrooms
The ratio of dry matter and water is 1:9 for most mushrooms. Dry matter consists of carbohydrates, proteins, minerals, fat, and water in a ratio of 50:30:8:3:9. How many kilograms of fresh mushrooms need to be processed into a 10 kg package of dried mushr - Shepherd
Kuba makes a deal with a shepherd to take care of his sheep. Shepherd said to Kuba that he would receive twenty gold coins and one sheep after a year of service. But Kuba resigned just after the seventh month of service. But the shepherd rewarded him and
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