Examples for secondary school students - page 165 of 230
Number of problems found: 4597
- Difference 4050
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. - Measured 4046
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? - Divisions 4044
School players scored seven goals in the match. List all possible goal divisions into three-thirds and add up how many. - Derivative 4041
Is there a continuous function that has no derivative at every point? - Enthusiasts 4032
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? - Sufficient 4019
We want to prepare 200g of 64% alcohol. We have a sufficient amount of 80% and 45% alcohol. How many of which will we need? - Expression: 4017
Specify the value of this expression: 4! · 2-5 - Assuming 4015
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 - Equation: 4014
Determine what x equals in the equation: (256^x): 10-1 = 40 - Square and rectangle
Calculate the side of a square, which area equals the area of the rectangle having a length of 3 cm greater and by 2 cm smaller than the side of the square. - Difference 3994
In a trapezoid, the difference is a base of 6 cm. Calculate the lengths of the bottom of a trapezoid when its height is 8 cm and the area of the trapezoid is 168 cm square. - Resistivity 3983
What was the length of an iron wire with an area of 3cm² if its resistance was 15 ohms? Iron (Fe) resistivity is 0.0996 x 10 at -6 Ohm/meter. - Collection 3977
Tomáš brought the collection 20 percent less than Michal. Filip brought half of what Tomas did. Together, they brought 52.8 kg. How much did he bring? - Numbers 3974
The sum of two numbers is 10,000, and one is four times larger than the other. What are two numbers? - Round destiny
There are five white and ten red balls in the destiny. Four balls will be drawn at random. What is the probability of the event "at least two spheres are white"? - Diameter 3962
The diameter of the atomic nucleus is 10 to -12cm. How many atoms would fit on a 1 mm line if they could be arranged close together? - Density 3961
The volume of the Sun is 1.4x10 per 18 km cubic, and the weight is 2x10 per 30 kg. What is the average density? (in kg/m cubic) - Angle in RT
Determine the size of the smallest internal angle of a right triangle whose sides constitute the sizes of consecutive members of arithmetic progressions. - Expression 3949
Determine what y equals in expression (16^y): 5 = 0.4
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