Examples for secondary school students - page 165 of 231
Number of problems found: 4614
- Moon
We see the Moon from the perspective angle 28'. At the time of the full Moon, the Moon's radius is 1740 km. Calculate the mean distance of the Moon from the Earth. - Three vectors
The three forces whose amplitudes are in ratio 9:10:17 act in the plane at one point to balance. Determine the angles of each of the two forces. - Equation value
Determine the value of x in this equation: (0.125^x) · 104 = 5000 - Difference - two complex
Determine the difference between two complex numbers: 3i²-3i4 - 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 - Points scored
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. - Function continuity
Specify the point at which the sgn x function has no continuity. - Arithmetic progression
Find the difference AP if a1 = -1.5 and a2 + a3 = 2.7. - Expression values
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? - Complex sum
Determine the sum of complex numbers: 2i² + 2i4 - Value
Find the value of the expression: 6!·10-3 - 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 800m per hour slower than the car from Ostrava. What was the average speed of the cars if the cars met after 150 m - 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.
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