Examples for secondary school students - page 38 of 212
Number of problems found: 4239
- Soccer teams
Have to organize soccer teams. There are three age groups. How many different ways can you organize ten teams for each age group? Is this a permutation or combination? - School committee
Seven students were elected to the school committee. How many ways can become the President, Vice-President, Secretary, and Treasurer be selected? - Five element
The geometric sequence is given by quotient q = 1/2 and the sum of the first six members S6 = 63. Find the fifth element a5. - Bisectors
As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6. Find the perimeter of triangle △ BDE. - Divide 8
Divide 6840 by x, y, and z in such a way that x has twice as much as y, who has half as much as z - Right pyramid
A right pyramid on a base 4 cm square has a slanted edge of 6 cm. Calculate the volume of the pyramid. - The triangle
Three vertices give the triangle: A [0.0] B [-4.2] C [-6.0] Calculate V (intersection of heights), T (center of gravity), O - the center of a circle circumscribed - A rectangular patio
A rectangular patio measures 20 ft by 30 ft. By adding x feet to the width and x feet to the length, the area is doubled. Find the new dimensions of the patio. - One three
We throw two dice. What is the probability that number three falls maximally once? - Hyperbola equation
Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10] - Two parallel chords
The two parallel chords of the circle have the same length of 6 cm and are 8 cm apart. Calculate the radius of the circle. - Practice
How many ways can you place 20 pupils in a row when starting on practice? - Legs
Cancer has five pairs of legs, and the insect has six legs. Sixty animals have a total of 500 legs. How much more are cancers than insects? - N points on the side
An equilateral triangle A, B, and C on each of its inner sides lies N=13 points. Find the number of all triangles whose vertices lie at given points on different sides. - Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x; - Two resistors
Two resistors when they give 25 ohms in series and 4 ohms in parallel, what the values of - Three sides
Side b is 2 cm longer than side c, side a is 9 cm shorter than side b. The triangle circumference is 40 cm. Find the length of sides a, b, and c. - Sum of inner angles
Prove that the sum of all inner angles of any convex n-angle equals (n-2).180 degrees. - The length
The length of a rectangle is 6 meters, less than twice the width. If the area of the rectangle is 216 meters, find the rectangle's dimensions. - Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in a ratio of 3:2. Volumes of a sphere and cuboid are in a ratio of 1:3. At what rate are the volumes of a cube, cuboid, and sphere?
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