Themes, topics - high school - practice problems - page 36 of 39
Number of problems found: 776
- Tourist Jirka
The distance between points A and B is 13.5 km. Jirka went from point A to point B unknown speed and for an unknown period. Back to point A went slower by 3 km/h, meaning it went 20 minutes more. How long does Jirka take the return journey?
- Square ABCD
Construct a square ABCD with center S [3,2] and the side a = 4 cm. Point A lies on the x-axis. Construct a square image in the displacement given by oriented segment SS'; S` [-1 - 4].
- Elevator
In homes with more floors, elevators are used. For passenger transport, the most commonly used traction elevator counterweight. The top of the shaft engine room with the engine. The car is suspended on a rope, which is guided up over two pulleys to the co
- Tourists
The first group of tourists started from the cottage at 7:00 AM at a speed of 4 km/h. The second started after them 21 minutes later at a 6 km/h. How long and how many kilometers from the cottage will catch the first group?
- Painters
The first team of painters would paint the bridge in 15 days, the second in 10 days. After three days of working together, the second team goes out and continues only with the first team. How many days took the second team to finish painting the bridge?
- Two workers
Two workers will do certain work for 12 days. After eight days of working, one was removed, and the other finished the job alone in 10 days. For how many days would you do this work alone for each worker?
- Pedestrian up-down hill
Pedestrian goes for a walk first at the plane at 4 km/h, then uphill at 3 km/h. Then it is in the middle of the route, turns back, and goes downhill at 6 km/h. The total walk was 6 hours. How many kilometers went pedestrians?
- Electrics - conductor
The wire is 107 meters long at 0 °C, and at every temperature increase of 1 °C, the length increases by 0.15 mm per 1 m length of wire. Determine a function that represents the wire's overall length as a temperature function. What is the length of the wir
- Pool 2
The first supply is by the pool fill for five hours and the second fill for six hours. The drain should be drained for 15 hours. How many hours is the pool full when we open both inlets now, and the outlet opens two hours later?
- Bank
Paul put 10000 in the bank for 6 years. Calculate how much you will have in the bank if he does not pick earned interest or change deposit conditions. The annual interest rate is 3.5%, and the tax on interest is 10%.
- Reservoir + water
The reservoir filled with water weighs 12 kg, and after pouring off, three-quarters of the water weighs 3 kg. Calculate the weight and volume of the reservoir.
- Automaker
The automaker now produces daily 4 new cars more than last year, so the production of 360 cars will save just one full working day. How many working days to produce 360 vehicles were needed in the previous year?
- Znojmo
From Znojmo to Brno started the truck with a trailer at an average speed of 53 km per hour. Against him, 14 minutes later from Brno started the car with an average speed of 1.2-times greater than the truck. How long and how far from Znojmo do they meet if
- Alloy
The first alloy is a mixture of two metals in the ratio 1:2; the second is a mixture of the same metals in the ratio 2:3. At what ratio do we have these two alloys put into the furnace to obtain a new metal alloy with a ratio of 17:27? (All three ratios c
- Aircrafts
Above the town, the hall tower flew the plane at a constant speed of 510 km/h, and 15 minutes later, the second plane at a speed of 703 km/h. How long and how far from the town hall will it be for aircraft to catch up?
- Two cars
Car A1 goes at an average speed of 106 km/h and the second car, A2, goes at 103 km/h. How many seconds will it take car A1 to circulate car A2? Assume that both cars are 5 meters long and the safety gap between cars is 1.5 meters.
- Scouts
The boys from the scout group traveled 5 days distance of 115 km. Every day walked 1.5 km less than the previous day. How many kilometers did scouts walk on the first day?
- Dog
The man went with a dog on a long walk 17 km from the house. The man is walking at a speed of 4.9 km/h. A dog constantly runs between the house and the man at 12.6 km/h. How many kilometers will the dog run when they reach its destination?
- Truncated cone
Calculate the height of the rotating truncated cone with volume V = 1354 cm³ and a base radii r1 = 9.1 cm and r2 = 5.4 cm.
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