Examples for secondary school students - page 97 of 237

Number of problems found: 4730

A particle
A particle moves in a straight line so that its velocity (m/s) at time t seconds is given by v(t) = 3t²-4t-4, t > 0. Initially, the particle is 8 meters from a fixed origin's right. After how many seconds is the particle at the origin?
Bank deposit interest
Entrepreneur Zahourek deposited 450,000 into the bank's account with 4.5% annual interest. Calculate the amount on the deposit account after three years.
Closed circuit
There is a voltage source with U1 = 12 V in a closed circuit and with internal resistance, R1 = 0.2 Ω. The external resistance is R2 = 19.8 Ω. Find the electric current and terminal voltage.
Students
Students Alex, Bob, Cyril, and Dustin worked a summer job. They divided the total earnings as follows: Alex received two-fifths of the earnings. Bob received one-sixth of the earnings. Cyril received three-tenths of the earnings. Dustin received the remai
Short-circuit and fuse
An external circuit with a resistance of 3.8 Ω is connected to an electrical voltage source with Ue=12 V. A current of 3 A passes through the circuit. Find: 1. source terminal voltage, 2. the internal resistance of the source, 3. maximum short-circuit cur
Chimney height calculation
The heating plant sees the observer standing 26 m from the bottom of the chimney and seeing the top at an angle of 67 °. Thus, the chimney of the heating plant is how high?
Decagon circumference area
Calculate the circumference and the area of a regular ten-angle polygon if the radius of the circumscribed circle r = 20 cm.
The dealer
The dealer planned to sell 40% of the cars he had in stock in May. However, he sold 20 fewer cars, i.e., only 15% of cars. a) How many cars did he have in stock? b) How many cars did he sell in May?
Geometric sequence members
The first term is 5 in a geometric sequence, and the quotient is 4. Calculate the 4th, 6th, and 10th members of this sequence.
Energy consumption
The device is connected to 230 V and draws a 3.5 A current. Power consumption is 1932 kJ. How many minutes has this device been in operation?
Worker reward distribution
Three workers received a reward of CZK 12,600 for their joint work. They divided the money according to the work done. The first received 20% less than the second, and the third received 50% more than the first. How much did each of them get?
Worker reward distribution
Three co-workers earned a total of CZK 4,720 for repair work. They split the money so that the first got 20% more than the second, and the third got 50% more than the second. Thus, everyone got CZK 4,720.
Outfit combination calculation
Jasmine is very fashion-conscious. She wants to wear a different outfit every day. She has four different shoes, seven skirts, 8 T-shirts, and three hair ornaments. How many days can an outfit be combined each time?
Company employee distribution
The company has 250 employees. There are 30 more men than women. How many men work in the company, and how many women?
Savings
The depositor regularly wants to invest the same amount of money in the financial institution at the beginning of the year and wants to save 10,000 euros at the end of the tenth year. What amount should he deposit if the annual interest rate for the annua
Water temperature cooling
The water in the container has a temperature of t1 = 80◦C, the temperature around the container is t2 = 15◦C. The dependence of temperature t on time τ (in minutes) can be expressed approximately by the formula: t = t2 +(t1 −t2)·e^(−0.05·τ) Calculate the
The test
The test contains four questions, with five different answers to each of them, of which only one is correct, and the others are incorrect. What is the probability that a student who does not know the answer to any question will guess the right answers to
Product selection ways
There are 11 products in the box, of which just four are defective. How many ways can we choose five products so that at least four are not faulty?
Birthdays
In a classroom, students give candy to their classmates on their birthdays. The birthday student gives one candy to each classmate but does not receive one themselves. A total of 650 candies were given out over the course of the year. How many students ar
Defective bulb probability
There are 30 broken-down packages with 2,000 light bulbs. What is the probability that a randomly selected light bulb is defective?

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