Examples for secondary school students - page 77 of 229
Number of problems found: 4578
- Different 35501
Dana received four new books. How many different orders can she read them? - HP - harmonic progression 2
Compute the 16th term of the HP if the 6th and 11th terms of the harmonic progression are 10 and 18, respectively. - HP - harmonic progression
Determine the 10th term of the harmonic progression 6,4,3,… - HP - harmonic progression
Determine the 8th term of the harmonic progression 2, 4/3, 1,… - Interpretation 35461
The arranger should line up two identical white sweaters, two identical green sweaters, and one blue sweater in the shop window. How many possible ways can the interpretation be adjusted? - Angles of a hexagon
Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence and the smallest angle is 70°. - Calculate 35223
In the ABC triangle, the alpha, beta, and gamma angles are in ratio 0.4:0.2:0.9. Calculate their size.
- The pool
The cube-shaped pool has 140 cubic meters of water. Determine the bottom's dimensions if the water's depth is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom? - Vacation 35133
The family is going on vacation. Everyone has their luggage. Together the luggage weighs 21kg. The mother's luggage weighs two times more than the father's and the son's 4 kilograms less than the mother's. How much does luggage weigh? - Present value
A bank loans a family $90,000 at a 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making monthly payments over 15 years. How much should the monthly payment be in order to pay off the debt in 15 years? - Savings
Suppose on your 21st birthday, you begin making monthly payments of $500 into an account that pays 8% compounded monthly. If you continue the payments until your 51st birthday (30 years), How much money is in your account? How much of it is interesting? S - Calculate 35083
Draw an isosceles triangle ABC with a base 7 cm long and shoulders 5.5 cm long. Assemble all the heights, measure them, and calculate their sum. - Future value Suppose you invested $1000 per quarter over 15 years. If money earns an annual rate of 6.5% compounded quarterly, how much would be available at the end of the time period? How much is the interest earned?
- Efficiency 35023
The cellar, which has a floor area of 50 m² and is 3 m below ambient level, was flooded with water to a height of 80 cm. How long does it take for a pump with a power input of 1 kW and an efficiency of 75% (η = 0.75) to drain the water? - Light year
A light-year is a unit of length that expresses the distance light travels in one year. What distance will it travel if the speed of light is approximately 300,000 km/s?
- To the cinema 2
A cinema ticket costs 150 CZK for children and 200 CZK for adults. 100 tickets were sold for the film screening and the cashier collected 16,000 CZK. Calculate: a. How many children's tickets were sold? b. How much CZK was collected for the adult ticket? - Copper winding
Calculate the current flowing through the copper winding at an operating temperature of 70°C Celsius if the winding diameter is 1.128 mm and the coiled length is 40 m. The winding is connected to 8V. - Increase the mean
To which number should the number 4 be changed between the numbers 4,5,7, 1,0,9,7,8, -3,5 to increase these numbers' arithmetic mean by 1.25? - Gradually 34921
We gradually measured the values of 3,8,13,10,1,13,10,5,3,9. Calculate how much is the sum of the median and average of this file from the mode of this file. - The raw The raw data presented here are the scores (out of 100 marks) of a market survey regarding the acceptability of a new product launched by a company for a random sample of 50 respondents: 40 45 41 45 45 30 30 8 48 25 26 9 23 24 26 29 8 40 41 42 39 35 18 25
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