Examples for secondary school students - page 29 of 229
Number of problems found: 4578
- Cylinder-shaped part
A truncated cone-shaped part with base radii of 4 cm and 22 cm is to be recast into a cylinder-shaped part of the same height as the original part. What base radius will the new part have? - Weighs 81511
2 hens weigh 1kg more than a goose. 3 hens weigh 1kg more than 2 geese. How much do one hen and one goose weigh? When every goose weighs the same, and every hen weighs the same. - Statistical 81497
Determine the median, mode, arithmetic mean, variance, standard deviation, range of variation, and coefficient of variation of the character x in the statistical file: 2x 9, 7x 10, 9x 11, 11x 15, 15x 17, 16x 19, 13x 21, 10x 25, 9x 29, 4x 32 - Received 81487
Nikola and Agáta received a total of 20 roses from their partners. Nikola received 4 more roses than Agáta. How many roses did each have? - Definition 81474
Determine the definition fields of functions: y=4/x (written as a fraction) - Simultaneously 81441
The tank is filled through three openings, A, B, and C. The simultaneously open inlets A and B are filled in 1 hour, inlets A and C in 45 minutes, and inlets B and C in 1.5 hours. How long would it take to fill each inlet separately? - Together 81384
Soňa and Elvíra have 20 CZK together, Elvira and Filoména have 15 CZK together, and Sonia and Filoména have 19 CZK together. How many CZK does Soňa have, how much Elvira, and how much Filomena?
- Slant surface
The surface of the rotating cone and its base area is in the ratio 18:5. Determine the volume of the cone if its body height is 12 cm. - Kilograms 81234
The price of 1 kg of pears is 7 crowns higher than the price of 1 kg of apples. The seller sold 2 kg more apples than pears. He received the same amount for pears and apples, namely 420 CZK. How many kilograms of apples and how many kg of pears did he sel - Equilateral 81222 A sphere is inscribed in an equilateral cone with a base diameter of 12 cm. Calculate the volume of both bodies. What percentage of the volume of the cone is filled by the inscribed sphere?
- Doppler effect
The observer moves away from the source at a speed of 12 m/s. The source produces sound with a frequency of f=475 Hz. What is f2 (frequency of sound perceived by the observer)? v= 340 m/s. - Equilateral 81142
The rotating body was created by rotating an equilateral triangle with a side length of a=2 cm around one of its sides. Calculate the volume of this rotating body. - Quatrefoil 81138
Gothic quatrefoil is an ornament in which four identical touching smaller circles are inscribed in a larger circle, as you can see in the picture. The radius of the great circle is one meter. Calculate the radius of the smaller circle in meters. - Frequencies 81136 In grouped data classes such as 10-15, 16-20, 21-25, 26-30 with the respective frequencies of each class as 3, 5, 4, 3, then the range (range of variation) is: a. 15 b. 6 c. 20 d. 5
- Hypotenuse, euclid
In a right-angled triangle, the hypotenuse has a length of 24 cm. The heel of the height on the hypotenuse divides it into two parts in a ratio of 2:4. What size in cm is the height at the hypotenuse? Calculate the perimeter of this right triangle in cent
- Observations 81124 The number of observations is 24, and the value of the mean is 28, then the sum of all the values is ...
- Probability 81115
The probability of sprouting each avocado pit is 0.9. We planted 3 stones. What is the probability that exactly two of them will sprout? - Grandparents 81106
The grandparents had €2,500 in the bank valued at 2% p.a. After the quarter, and they took the money with the evaluation. How much money was it? The bank honored the fee for early withdrawal in the amount of 0.05% of the deposited amount. - Introduced 81104
The * (asterisk) operation assigning one number to two pairs of numbers is introduced as follows: (a, b)*(c, d) = ac+bd We know that: (x,2)*(-1, v) = -1 and (2,-1)*(u, v)=5 and (u, v)*(1,1)=-2 What is (1,2)*(x, y) equal to if y=3? - Coefficient of friction
A car moves along a horizontal road at a speed of 15 m/s. After turning off the engine, the car traveled a distance of 225 m. What was the coefficient of friction for this motion?
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