Themes, topics - high school - practice problems - page 38 of 39
Number of problems found: 776
- Skier
At this point, the first skier leads 20 km before the second skier and travels at a constant speed of 19 km/h. The second skier rides at 24 km/h. How long take him to catch up with the first? - Train and car
The train and the car started at a constant speed journey. When the train travels 87 km, the car travels 97 km. How many km travels the train when the car travels 87 km? - Deposit
If you deposit 719 euros at the beginning of each year, how much money do we have at 1.3% (compound) interest after 9 years? - Icerink
A rectangular rink with 68.7 m and 561 dm dimensions must be covered with a layer of ice 4.2 cm thick. How many liters of water is necessary for ice formation when the ice volume is 9.7% greater than the volume of water?
- Two wine
In the ratio of 2:1, mixed wine solution cost 4.1 USD. In the ratio of 1:2, mixed wine solution costs 4.5 USD. How much does a liter of each wine cost? - JUDr. Usury
Judge JUDr. Usury approved the agreement on guilt and punishment were confessed to paying daily interest 0.18%. How big is a yearly interest? The year has 360 days. - Peleton
The cycling race was run at an average speed of 45 km/h. One cyclist lost with defect 8 minutes. How long and far must he go at speed 51 km/h to catch the peloton again? - Cyclist
A cyclist is moving at 35 km/h and follows a pedestrian walking at speed 4 km/h. Walker has an advantage 19 km. How long take a cyclist to catch up with him? - Interest
What is the annual interest rate on your account if we put 32790 and after 176 days received 33939.2?
- Map
On the tourist map, on a scale of 1:50000 is the distance between two points along a straight road 3.7 cm. How long travels this distance on a bike at 30 km/h? Time express in minutes. - Decibel
A circuit has an input power of 92 mW. Its output power is 12 mW. What is the loss in decibels? - Drinking water
A man drinks a keg of water in 36 days, and a woman drinks in 65 days. How many days do they consume a keg together? - Two cars
Two cars started against each other simultaneously to journey long 346 km. The first car went 53 km/h and the second 53 km/h. What distance will be between these cars 20 minutes before a meeting? - Sea water
Mixing 62 kg of seawater with 84 kg rainwater is created water containing 3.1% salt. How much percent of seawater contains salt?
- Proof PT
Can you easily prove Pythagoras' theorem using Euclidean theorems? If so, do it. - Forces
In point, O acts three orthogonal forces: F1 = 20 N, F2 = 7 N, and F3 = 19 N. Determine the resultant of F and the angles between F and forces F1, F2, and F3. - Resistors
Two parallel resistors connected in series give the resulting resistance $R1Ω and $R2Ω. Determine the resistance of these resistors. - Free fall
Pavel fall from height 9 m. Calculate the speed he hit the ground when falling with acceleration g = 9.81 m/s² - Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately?
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