Examples for secondary school students - page 197 of 223
Number of problems found: 4443
- The dice
What is the probability of events if we throw a dice rolled less than 1?
- Pedestrian up-down hill
The pedestrian goes for a walk first on 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
- Lottery
Fernando has two lottery tickets, each from the other lottery. In the first is 973 000 lottery tickets from them wins 687 000, the second has 1425 000 lottery tickets from them wins 1425 000 tickets. What is the probability that at least one Fernando's ti
- UV radiation
The glass of 1 mm thickness absorbs 5.3% of UV radiation passing through. How many percent of UV rays absorb glass with a thickness of 2.3 cm, made from 1 mm thick those glasses?
- 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?
- Geometric sequence 4
It is given geometric sequence a3 = 7 and a12 = 3. Calculate s23 (= sum of the first 23 members of the sequence).
- 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%.
- Workman - shift
The worker produces 300 components per shift. If his performance gradually increased by 3 components every shift, how many components would be produced in the 18 shifts?
- Enterprise
The value of the annual production enterprise is 7.1 million USD. The average annual growth rate is 1.5%. What will the value of production be at the end of the fifth year?
- Training
The table contains the tennis training schedule for Saturday's younger students during the winter indoor season. Before the start of the summer season, preparing a new training schedule, Tomas Kucera will be able to practice only in the morning. Sisters K
- Hot air balloon
A hot air balloon ascends 25 meters for a minute after launch. Every minute, it ascends 75 percent of the height it climbed in the previous minute. a) How many meters will ascend six minutes after takeoff? b) What is the overall height of the 10 minutes a
- Snowman
In a circle with a diameter of 40 cm are drawn three circles (as a snowman) where: its diameters are integers, each larger circle diameter is 2 cm larger than the diameter of the previous circle. Determine the snowman height if we wish for the highest sno
- Cosine
The point (3, 4) is on the terminal side of angle θ. cos θ = ...
- Diagonals in the diamond
The length of one diagonal in a diamond is 24 cm greater than the length of the second diagonal, and the diamond area is 50 m². Determine the sizes of the diagonals.
- Sequence
Find the common ratio of the sequence -1, 3, -9, 27, -81. Please ratio writes as a decimal number rounded to a tenth.
- Catheti
The hypotenuse of a right triangle is 41, and the sum of legs is 49. Calculate the length of its legs.
- Reservoir + water
The reservoir filled with water weighs 29 kg, and after pouring off, three-quarters of the water weighs 9 kg. Calculate the weight and volume of the reservoir.
- Sugar - cuboid
Pablo received from his master a cuboid composed of identical sugar cubes, each weighing between 1000 and 2000. The Pejko eat sugar cubes in layers. On the first day, eat one layer from the front. On the second day, one layer is from the right, and on the
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