Examples for secondary school students - page 171 of 237
Number of problems found: 4730
- Exponent value
Determine x if 3^x: 3²996 = 81 - Geometric Progression Quotient
Determine the GP quotient if a1 = -0.8 and a1 + a2 = 0.64. - Car speeds
The distance from Nitra to Ostrava is 257 km. From both places, two cars drove towards each other at the same time. The car from Nitra drove 800 m/h slower than the car from Ostrava. What was the average speed of each car if they met after 150 minutes of - Triangle angles
Calculate the size of the interior angles of a triangle if the size of the second angle is 120 degrees less than twice the size of the first angle and the size of the third angle is equal to the difference between the sizes of the first and second angles. - Bar cuts
Peter cut the two bars into equal parts but made them as large as possible. One rod measured 42 cm, the other 63 cm. How many cuts did he have to make? - Goal divisions
School players scored seven goals in the match. List all possible goal divisions into three-thirds and add up how many. - Continuous function
Is there a continuous function that is nowhere differentiable? - Academy students
There are 147 students in seven years at the wizarding academy. Enthusiasts for magic are increasing, so since 2006, they have accepted two more students each year than the previous year. How many students do they have in their first year? - 925 USD
Four classmates saved an annual total of 925 USD. The second saves twice as the first, the third 35 USD more than the second, and the fourth 10 USD less than the first. How does USD save each of them? - Alcohol preparation
We want to prepare 200 g of 64% alcohol. We have a sufficient amount of 80% and 45% alcohol. How many of which will we need? - Expression value Specify the value of this expression: 4! · 2-5
- Cyclist trajectory
The seat of the bicycle is 1.2 m high. The cyclist weighs 82 kg, is going down a 15% hill at a speed of 50 km/h, and hits a curb 20 cm high at an angle of 45 degrees. How far from the center of the front wheel's axis is the cyclist thrown? We are assuming - Exponent equation
Determine what x equals in the equation: (256^x): 10-1 = 40 - Square and rectangle
Calculate the side of a square, whose area equals the area of a rectangle that is 3 cm longer and 2 cm narrower than the side of the square. - Trapezoid bases
In a trapezoid, the difference between the bases is 6 cm. Calculate the lengths of the bases of the trapezoid when its height is 8 cm and the area of the trapezoid is 168 cm². - Wire length
What was the length of an iron wire with an area of 3 cm² if its resistance was 15 ohms? Iron (Fe) resistivity is 0.0996 x 10 at -6 Ohm/meter. - Collection weight
Thomas brought the collection 20 percent less than Michael. Philip brought half of what Tomas did. Together, they brought 52.8 kg. How much did he bring? - Two numbers
The sum of two numbers is 10,000, and one is four times larger than the other. What are two numbers? - Round destiny
A bag contains 5 white and 10 red balls. Four balls are drawn at random. What is the probability of the event "at least two of the drawn balls are white"? - Atomic diameter
The diameter of the atomic nucleus is 10 to -12 cm. How many atoms would fit on a 1 mm line if they could be arranged close together?
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