Examples for secondary school students - page 34 of 212
Number of problems found: 4231
- Fifth member
Determine the fifth member of the arithmetic progression if the sum of the second and fifth members equals 73 and the difference d = 7. - Tokens
The non-transparent bags are red, white, yellow, and blue tokens. We 3times pulled one token and again returned it, writing down all possibilities. - Parabola 3
Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. f: y=x²+bx+c - Folded square
ABCD is a square. The square is folded on the midpoint of AB, and A is folded onto the fold, creating a shaded region. The perimeter of the shaded figure is 75. Find the area of square ABCD - Hexagon = 8 parts
Divide the regular hexagon into eight equal parts. - Cinema 4
In the cinema are 1656 seats and in the last row are 105 seats, in each next row 3 seats less. How many are the total rows in the cinema? - Moivre 2
Find the cube roots of 125(cos 288° + i sin 288°). - Euclid 5
Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height vc = 5 cm. - Sphere area
A cube with an edge 1 m long is a circumscribed sphere (vertices of the cube lie on a sphere's surface). Find the surface area of the sphere. - Volume from surface area
What is the volume of the cube whose surface area is 96 cm²? - Insert into GP
Between numbers 5 and 640, insert as many numbers to form a geometric progression so the sum of the numbers you entered will be 630. How many numbers must you insert? - Four-digit number
Find a four-digit number, which quadrupled written backward is the same number. - One green
In the container are 45 white and 15 green balls. We randomly select five balls. What is the probability that there will be one green ball maximally? - Chess
How many different ways can you initiate a game of chess (first pass)? - Sinus
Determine the smallest integer p for which the equation 4 sin x = p has no solution. - Cosine
The point (3, 4) is on the terminal side of angle θ. cos θ = ... - Variations
Find the number of items when the count of variations of the fourth class without repeating is $k times larger than the count of variations of the third class without repetition. - Virus
We have a virus that lives one hour. Every half hour produces two child viruses. What will be the living population of the virus after 3.5 hours? - Inscribed rectangle
The circle area is 216. Determine the area of the inscribed rectangle with one side 5 long. - Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water.
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