Examples for secondary school students - page 21 of 212
Number of problems found: 4231
- Designated 64234
Marenka is required to read three books out of five designated books. How many ways can three books choose to be read? - Coordinates 59763
The vectors v = (2.7; -1.8), w = (-3; 2.5) are given. Find the coordinates of the vectors: a = v + w, b = v-w, c = w-v, d = 2 / 3v - Stationary 57031
Determine the distance of a stationary satellite from the Earth's surface. - Truncated 12391
A sphere is inscribed into a truncated cone and touches both the base and the mantle. The base diameter of the cone is D. What is its diameter? - Triangle 8320
Is there a triangle with heights of 4, 7, and 10 meters? - Variations 5437
From how many elements can we create six times as many variations of the second class without repetition as variations of the third class without repetition? - Determine 4181
Determine the fourth GP member if q = 4 and a1 + a3 = 5.44 - Difference 3923
Determine the ninth term and the difference AP if a3 = 4.8 and a2 + a3 = 8. - Determine 3854
Fill in the third number of the sequence and find the quotient: 2.5; 1.25; - Determine 3821
Determine y: 32^y = 2 - Determine 3763
Determine the first and third GP members if q = -8, and a2 + a5 = 8176 - Two numbers 17
The sum of two numbers is 9, and the sum of their cubes is 189; find the sum of their squares. - A triangle 10
A triangle has vertices at (4, 5), (-3, 2), and (-2, 5). What are the coordinates of the vertices of the image after the translation (x, y) arrow-right (x + 3, y - 5)? - Common difference 2
What is the common difference of the arithmetic sequence with 20 terms, whose first term is 5a+b and the last term is 43a+20 b? - Martin 6
Martin, Kelvin, and Ahmad have 120 candies. Ahmad has six more candies than Martin. Kelvin has thrice the total amount of candies than Martin and Ahmad have. How many candies does Martin have? - Outliers
The teacher found the five-number summary of a dataset to be: 0, 5, 7, 14, 17 An observation is considered an outlier if it is below: An observation is considered an outlier if it is above: - Triangular numbers
The first four triangular numbers are 1,3,6,10. What is the 10th triangular number? Help: A triangular number or triangle number counts objects arranged in an equilateral triangle. - Binary words
How many 10-bit words can be created with precisely four units (e.g., 1111000000)? - Increase the mean
To which number should the number 4 be changed between the numbers 4,5,7, 1,0,9,7,8, -3,5 to increase these numbers' arithmetic mean by 1.25? - Three colors
Find the probability that three balls of the same color will be drawn from fate with ten white, ten red, and ten blue balls.
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