Examples for secondary school students - page 164 of 230
Number of problems found: 4586
- Forces
Forces with magnitudes F1 = 42N and F2 = 35N act at a common point and make an angle of 77°12'. How big is their resultant? - Total
In one class, 1 student collected an average of 20 kg of paper, in the second class 30 kg, and in the third class 40 kg. How many kilograms of paper did 1 student collect on average for all three classes together, when the second class had the same number - Zdeněk 4090
Petr scored 18 points, Jirka half, Roman scored 3 points less than Petr, and Zdenek one point less than Jirka. Find out how many points Zdenek got. - Quadratic equation
Find the roots of the quadratic equation: 3x²-4x + (-4) = 0. - Continuity 4087
Specify the point at which the sgn x function has no continuity. - Difference 4086
Find the difference AP if a1 = -1.5 and a2 + a3 = 2.7. - Expression: 4085
Determine the x and y values in the expression: x! · 10^y = 0.0504. - Ravens
On two trees sits 17 ravens. If three ravens flew from the first to the second tree and five ravens took off from the second tree, then the first tree has two times more ravens than the second tree. How many ravens were originally on every tree? - Determine 4083
Determine the sum of complex numbers: 2i² + 2i4 - Value
Find the value of the expression: 6!·10-3 - Determine 4056
Determine x if 3^x: 3²996 = 81 - Determine 4053
Determine the GP quotient if a1 = -0.8 and a1 + a2 = 0.64. - Distance 4051
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 800m per hour slower than the car from Ostrava. What was the average speed of the cars if the cars met after 150 m - 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?
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