Examples for secondary school students - page 207 of 223
Number of problems found: 4452
- Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there?
- Words
How many 2 letters "words" are possible using 14 letters of the alphabet? a) without repetition b) with repetition
- Shelf
How many ways are there to arrange 6 books on a shelf?
- Area codes
How many 6 digit area codes are possible if the first number can't be zero?
- Kids
How many different ways can sit 8 boys and 3 girls in line if girls want to sit on the edge?
- Tetrahedron
Calculate the height and volume of a regular tetrahedron whose edge has a length of 13 cm.
- Geometric sequence 3
In geometric sequence is a4 = 40; a9= 1280; sn=2555. Calculate the first item a1, quotient q, and n - number of members by their sum s_n.
- Tank
In the middle of a cylindrical tank with a bottom diameter of 479 cm, there is a standing rod 34 cm above the water surface. If we bank the rod, its end reaches the water's surface just by the tank wall. How deep is the tank?
- Pure quadratic equation
Solve pure quadratic equation -7x² +4 = 0.
- Ray
Light ray loses 1/19 of brightness passing through a glass plate. What is the brightness of the ray after passing through 5 identical plates?
- RT and circles
Solve the right triangle if the radius of the inscribed circle is r=9 and the radius of the circumscribed circle is R=26.
- Asymptote
What is the vertical asymptote of f(x) = (-2x-8)/(2x+26)
- Vectors
For a vector w is w = 2u-5v true. Find coordinates of vector w if u=(3, -1), v=(12, -10).
- Series
Your task is to express the sum of the following arithmetic series for n = 24: S(n) = 11 + 13 + 15 + 17 + ... + 2n+9 + 2n+11
- Triangle
Plane coordinates of vertices: K[9, 5] L[-4, 8] M[3, 20] give Triangle KLM. Calculate its area and its interior angles.
- Triangle
Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius).
- Silo
The outer perimeter of the silo is 32 m. The concrete wall is 35 cm thick. What is the diameter and area of the inside floor of the silo?
- Road
A ratio of 1:15 gives the average climb of the road. By what angle does the road moderate climb?
- Divisibility
Determine the smallest integer which divided 11 gives remainder 4. When divided, 15 gives remainder 10 and when divided by 19 gives remainder 16.
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