Examples for secondary school students - page 35 of 212
Number of problems found: 4231
- Square side
Calculate the length of the side square ABCD with vertex A[0, 0] if diagonal BD lies on line p: -4x -5 =0. - Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there? - Shelf
How many ways are there to arrange 6 books on a shelf? - Triangle
Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius). - Circumscribing
Find the radius of the circumscribed circle to the right triangle with legs 6 cm and 3 cm. - Count of triangles
On each side of an ABCD square is 10 internal points. Determine the number of triangles with vertices at these points. - Lines
How many points will intersect 14 different lines where no two are parallel? - 7 heroes
6 heroes galloping on 6 horses behind. How many ways can we sort them behind? - Angle between lines
Calculate the angle between these two lines: p: -8x +4y +5 =0 q: 10x +10y -7=0 - Powers
Express the expression (1000) ^ (21) * (10) ^ (101) * (10) ^ (145) as the n-th power of the base 10. - Radioactivity
After 548 hours decreases, the activity of a radioactive substance to 1/9 of the initial value. What is the half-life of the substance? - Morse alphabet
Calculate how many words of Morse code to create compiling dashes and dots in the words of one to four characters. - Football league
In the 5th football league is 10 teams. How many ways can be filled first, second, and third place? - Triangle ABC
Right triangle ABC with right angle at the C, |BC|=19, |AB|=32. Calculate the height of the triangle hAB to the side AB. - Square and circles
Square with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles. - Coordinates 83025
Given are points A [1;a2;a3], B [3;-4;-1], C [-3;-1;8]. Points A, B, and C lie in a straight line. Calculate the coordinates a2, a3 - Probability 80858
During the exam, the student takes 3 questions out of 30. He is ready for 20 of them. Find the probability that he draws at most 2 that he knows. - Coordinates 80452
A (a1, 4) B(7, -2) segment AB has a center where both coordinates are equal - Dataset 3
Given dataset: 31, 28, 31,30,31,30,31,31,30,31,30,31 1. Construct a frequency table. 2. Construct a histogram. 3. Compute the mean. 4. Compute the median. 5. Find the mode. 6. Compute the midrange. 7. Compute the standard deviation. - Number pattern
What are the following two numbers that occur in this pattern? 0.24, 0.48, 0.96, 1.92, ____, ____
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