Themes, topics - math word problems - page 95 of 167
Number of problems found: 3333
- Z8–I–5 MO 2019
For eight different points as shown in the figure, points C, D, and E lie on a line parallel to line AB, F is the midpoint of line AD, G is the midpoint of line AC, and H is the intersection of lines AC and BE. The area of triangle BCG is 12 cm² and the - The escalator
I run up the escalator constantly in the stairs' direction and write down the number of steps A we climbed. Then we turned around, ran it at the same constant speed in the opposite direction, and wrote down the number of steps B that I climbed. If A = 24 - Acceleration of point
The mass point moves evenly along a circle with a radius of 1.2 m at an angular velocity of 25 rad/s. Determine the frequency, period, and centripetal acceleration! - Two workers
One worker needs 40 hours to do a job, and the second would do it in 30 hours. They worked together for several hours, then the company recalled the second, and the first completed the job in 5 hours. How many hours did they work together, and how much di - Calculate 11251
The oil pressure in the press is 20 MPa S = 15 dm². Calculate the amount of force that lifts the piston. - Horizontally 11211
A boy weighing 50 kg moves horizontally by 10 m. What is his kinetic energy at a speed of 1 m/s? - Horizontally 11201
A boy weighing 50 kg moves horizontally by 10 m. How much has his positioning energy increased?
- 3 phase load
Two wattmeters are connected to measure power in a 3 phase balanced load. Determine the total power and power factor if the two wattmeters read 1000 watts each (1) both positive and (2) the second reading is negative. - Kilowatt-hours
If the Lewis family used 648 kilowatt-hours of electricity in 12 days at the same usage rate, how many kilowatt-hours should they use in 24 days? - Voltmeter range
We have a voltmeter which, in the original set, measures voltage to 10V. Calculate the size of the ballast resistor for this voltmeter if we want to measure the voltage up to 50V. Voltmeter's internal resistance is 2 kiloohm/Volt. - Construct 10921
Construct the diamond ABCD so that its diagonal BD is 8 cm and the distance of apex B from the line AD is 5 cm. Specify all options - Bike ride
Marek rode a bike ride. In an hour, John followed him on the same route by car at an average speed of 72 km/h, and in 20 minutes, he drove him. Will he determine the length Marek took before John caught up with him, and at what speed did Marek drive? - Three-day trip
On a three-day trip, cyclists traveled 30% of the total route on the first day, 3/5 of the rest on the second day, and 35 km on the third day. Thus, cyclists traveled 30% of the total route on the first day, 3/5 of the rest on the second day, and 35 km on - The tourist
The tourist traveled 78km in 3 hours. Part of the journey went on foot at 6km/h, the rest of the trip by bus at 30km/h. How long did he walk? - School trip
On a school trip, 17 of the 28 children bought ice cream or chocolate in a candy store. Twelve children bought chocolate, and nine children bought ice cream. How many children bought ice cream and chocolate? How many children did not buy ice cream? How ma
- Four-digit 10261
Roman likes magic and math. Last time he conjured three- or four-digit numbers like this: • created two new numbers from the given number by dividing it between digits in the place of hundreds and tens (e.g., from the number 581, he would get 5 and 81), • - Plan scale
The actual width of the room is 66 dm, and the width in the plan is 4.4 cm. What scale corresponds to the plan? - Apples and pears
Apples cost 50 cents a piece, pears 60 cents a piece, bananas cheaper than pears. Grandma bought five pieces of fruit. There was only one banana, and I paid 2 euros 75 cents. How many apples and how many pears? - Car loop
The toy car runs at an average speed of 2 m/s. In a minute, it will pass the entire circuit five times. How long is the loop? - Cottage house
The village is 28 km from the cottage. Father goes from village to cottage. Son goes from the cottage to the village. They meet 10 km further behind the cottage. How much did dad walk?
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