Examples for secondary school students - page 37 of 213
Number of problems found: 4253
- Arithmetic 64394
Karolína does not want to reveal at home what grades she will get on her report card. She said only this: "There will be 8 marks on the report card, their arithmetic mean is 2.125, the median is 2, the mode is 1, and I will not have any 2's. How many four - Observer 64354
At what angle of view does an object 70 m long appear to the observer, 50 m away from one end, and 80 m from the other end? - Douglas HS
Douglas High School is holding a fundraiser and plans to use 2/3 of the money collected to build a new library. Of the money directed towards building the new library, 1/5 will purchase computers. What fraction of the money raised will go towards purchasi - Designated 64234
Marenka is required to read three books out of five designated books. How many ways can three books choose to be read? - Probability 64174
The banker deals, on average, with five clients a day. Find the probability that the number of clients (in one day) will be greater than 4. - Original 63974
If we reduce the length of the cube edge by 30%, this cube has a reduced surface area of 1176 cm². Find the edge length and volume of the original cube. - Assembling 63964
Little Pavel was assembling building blocks (a cube is shaped like a cube). He wanted to build a big cube. However, he had 75 dice left, so he increased the edge by one die. Then he was missing 16 dice. How many cubes did he have in the kit? - 45 percentile
Given the following data 11 15 24 33 10 35 23 25 40 What is P45? - Right-angled trapezoid
A right-angled trapezoid with the measure of the acute angle of 50° is given. The lengths of its bases are 4 and 6 units. The volume of the solid obtained by rotation of the given trapezoid about the longer base is: - Extinguishing 63834
40% of the foam was sprayed from the foam fire extinguisher during the fire extinguishing exercise. The weight of the entire device was 7 kg, and after training, it dropped to 4.6 kg. What was the weight of the empty device? - Circumscribed 63824
In a regular decagon, the diameter of the circumscribed circle measures 10 cm. Determine the radius of the circle inscribed in this triangle. - Anniversary 63804
Out of 3,000 employees of a certain company, 1,800 are men. The management decided that on the occasion of the company's anniversary celebration, it will give special rewards to 10 randomly drawn employees. What is the probability that the sample will be - In a GP 72+144
In a GP, the sum of the 2nd and fifth terms is 72, and the sum of the 3rd and 6th terms is 144. Find the common ratio, find the first term, and find the sum of the first six terms - Gravitational 63504
Due to the force of gravity, a freely released body falls towards the Earth. The reaction to the gravitational force is of equal magnitude and acts on the Earth at its center. Explain why we do not observe the motion of the Earth towards the body. - Identical 63414
Jeníček has 4 identical yellow dice and 3 identical blue dice. How many different colored snakes can make them? - Characters 63404
How many characters can we create from two commas and four dots? - According 63394
Three boys and four girls. How many ways can they be placed side by side according to gender? - Base conversion
12²×14³ answer in base five - Combined 63284
There are white, red, and green candies in the package. The number of white and red candies is in the ratio of 1:3, and the number of red and green candies is in the ratio of 4:7. There are 20 more green candies than white and red combined. How many candi - Spherical 63214
The gas tank consists of a 16m high cylinder with a diameter of 28m, which is closed at the top by a spherical canopy. The center of the spherical surface lies 4m below the bottom of the cylinder. Please calculate the spherical surface's radius and the ca
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