Examples for secondary school students - page 52 of 230
Number of problems found: 4592
- 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 - Increased sides
If side b of the rectangle increases by 1 cm and the other side decreases by 4 cm at the same time, the area of the rectangle decreases by 48 cm². If side b increases by 2 cm and side a decreases by 1 cm at the same time, the area of the rectangle increas - Depth angle
Determine the height of the cloud above the lake's surface if we see it from place A at an elevation angle of 20° 57'. From the same place A, we see its image in the lake at a depth angle of 24° 12'. Observation point A is 115 m above the lake level. - Two-fifths of the money
We divided a certain amount of money between three people so that the first got two-fifths of what the second and third combined. The second got twice as much as the first. If the third received €750 less than the first, how much did each receive? - Conservationists 62994
Conservationists planted a total of 695 trees of three species. There were 65 spruces more than pine trees and the first three times less than pines. How many trees of each species were planted? - 68-95-99.7 rule
Assume the resting pulse rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 15. Use the 68-95-99.7 rule to find the following quantities. a. Percentage of pulse rates less than 70 b. Percentage of puls - Calculate 62864
The block volume is 1440 cm3, its surface is 792 cm2, and the area of one of its walls is 92 cm². Calculate the lengths of its sides. - Perpendicular 62844
A body with a mass of 4 kg hits an obstacle at a speed of 10 m/s. After the collision, the body continued to move at a speed of 6 m/s, while the direction of this speed was perpendicular to the direction of the speed before the collision. Find: a) change - An integer
An integer is 17 more than five times another. If the product of the two integers is -6, then find the integers. - Intersections 62784
A quadratic function is given: y = -x² + 2x + 3 a) determine the intersections with the x, y-axis and peak V b) draw a graph and describe c) for which x applies f (x) = 3 - Six attractions
How many opportunities do you have if you want to complete ten rides on the fair, but there are only six attractions? - Film premiere
How can you distribute 40 cinema tickets to 15 people? - Arithmetic 62644
The sum of the two numbers is 18, and their difference is 10. What are the numbers? Calculate the arithmetic mean of the product and the proportion of these numbers.
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