Examples for secondary school students - page 205 of 231
Number of problems found: 4612
- Line
Straight-line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line in which both coordinates are positive integers. - Mystery of stereometry
Two regular tetrahedrons have surfaces 92 cm² and 207 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places. - Snowman 2
On the medal, which has the shape of a circle with a diameter 39 cm, is sketched a snowman so that the following requirements are met: 1. snowman is composed of three circles, 2. space over the snowman is the same as under it, 3. diameters of all circles - Mother and daughter
Three years ago, the mother was three times older than the daughter. After nine years, she will be only twice as old. How old is the mother (and daughter)? - 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? - 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
Pavol has two lottery tickets, each from the other lottery. In the first is 1203 000 lottery tickets from them wins 410 000, the second has 1478 000 lottery tickets from them wins 1478 000 tickets. What is the probability that at least one Pavol's ticket - 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 11000 in the bank for 2 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 2.8%, and the tax on interest is 18%. - 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 13.2 million USD. The average annual growth rate is 1%. 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 19 cm greater than the length of the second diagonal, and the diamond area is 32 m². Determine the sizes of the diagonals.
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