Examples for secondary school students - page 31 of 237
Number of problems found: 4730
- Population annual decrease
The number of inhabitants of the city decreased in 10 years from 72800 to 56000. What is the annual decrease in the population in percentage? - Quadrilateral angle sizes
In the general quadrilateral ABCD, angle β is 9° greater than angle α, angle γ is 24° greater than angle α, and angle δ is 50° greater than angle β. Determine the sizes of individual angles. - 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? - Hen goose weight
2 hens weigh 1 kg more than a goose. 3 hens weigh 1 kg 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 file characteristics
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 - Nikola Agáta roses
Nicole and Agatha received a total of 20 roses from their partners. Nicole received 4 more roses than Agatha. How many roses did each have? - Function definition field
Determine the definition fields of functions: y=4/x (written as a fraction) - Tank inlet filling
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? - Soňa Elvíra money
Sonya and Elvira have 20 CZK together, Elvira and Philomena have 15 CZK together, and Sonia and Philomena have 19 CZK together. How many CZK does Sonya have, how much Elvira, and how much Filomena? - Train
A train moves along a track at constant speed v0 for a time t1 = 1.00 h, but then it must stop due to works on the track and waits at the place for a time t2 = 0.50 h. When it gets moving again, its constant speed is only 75% of the original speed v0. The - 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. - Pear apple price
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 - Cone sphere volume 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. - Triangle rotation volume
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 circle radius
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. - Grouped data range 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 foot of the altitude to the hypotenuse divides it into two parts in a ratio of 2:4. What is the length of the altitude to the hypotenuse in cm? Calculate the perimeter of this right tri - Observation mean sum The number of observations is 24, and the value of the mean is 28, then the sum of all the values is ...
- Avocado seed probability
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?
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