Examples for secondary school students - page 39 of 212
Number of problems found: 4239
- Coordinates of the vertices
Calculate the coordinates of the vertices of a triangle if the equations of its sides are 7x-4y-1 = 0 x-2y + 7 = 0 2x + y + 4 = 0 - Sixty
Sixty percent of one-fifteen of the total is equal to thirty. What are two percent of the total? - Geometric seq
Find the third member of geometric progression if a1 + a2 = 36 and a1 + a3 = 90. Calculate its quotient. - Gas consumption
The vessel consumes 100 tons of gas in 250 miles. How much fuel will the vessel consume if it travels 400 miles? - Tricolors
From the colors - red, blue, green, black, and white, create all possible tricolors. - VCP equation
Solve the following equation with variations, combinations, and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0 - Vertices of RT
Show that the points P1 (5,0), P2 (2,1) & P3 (4,7) are the vertices of a right triangle. - Cube in sphere
The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius. - Two similar triangles
Find unknown sides of a similar triangles: a = 6cm, b = 8cm, c =?, a '=?, b '= 12cm, c' = 15cm - Rectangle
Calculate the area of the rectangle if its length is 12 cm longer than its width and length is equal to the square of its width. - Equation of circle
Find an equation of the circle with indicated properties: a. center at (-3,5), diameter 20. b. center at origin and diameter 16. - Division
The division has 18 members: 10 girls, six boys, and two leaders. How many different patrols can be created if one patrol is two boys, three girls, and one leader? - Balls
We have n identical balls (numbered 1-n) selected without replacement. Determine 1) The probability that at least one tensile strength number coincides with the number of balls? 2) Determine the mean and variance of the number of balls, which coincides wi - Surface of the cylinder
Calculate the surface area of the cylinder when its volume is 45 l, and the base's perimeter is three times the height. - travel agency
A small travel agency offers five different tours on honeymoon. What is the probability that the bride and groom choose the same tour (they choose independently)? - Balls
The urn is eight white and six black balls. We pull four random balls. What is the probability that among them will be two white? - Class - boys and girls
In the class are 60% boys and 40% girls. Long hair has 10% boys and 80% girls. a) What is the probability that a randomly chosen person has long hair? b) The selected person has long hair. What is the probability that it is a girl? - Simple interest 3
Find the simple interest if 11928 USD at 2% for 10 weeks. - Circles
How many different circles are determined by 11 points at the plane if 7 of them lie in a straight line? - Weekly service
In the class are 20 pupils. How many opportunities has the teacher selected for two pupils who will have a week-class service randomly?
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