Created from Youtube video: https://www.youtube.com/watch?v=Ds-GKacfbNkvideoConcepts covered:geometry formulas, number theory, combinatorics, probability, algebraic techniques
The video provides a comprehensive overview of essential geometry and number theory concepts needed for the AMC 8 exam, including formulas for angles, triangles, polygons, and 3D shapes, as well as number theory principles like prime factorization and divisibility rules. It also covers combinatorics, probability, and algebraic techniques, emphasizing the application of these concepts through examples and problem-solving strategies.
Ultimate AMC 8 Crash Course
Concepts covered:geometry formulas, number theory, combinatorics, probability, algebraic techniques
The video provides a comprehensive overview of essential geometry and number theory concepts needed for the AMC 8 exam, including formulas for angles, triangles, polygons, and 3D shapes, as well as number theory principles like prime factorization and divisibility rules. It also covers combinatorics, probability, and algebraic techniques, emphasizing the application of these concepts through examples and problem-solving strategies.
Question 1
Complementary angles sum to 90 degrees.
Question 2
What is the volume of a cylinder?
Question 3
The sum of the interior angles of a polygon with n sides is _____ times 180.
Question 4
CASE STUDY: A surveyor is measuring land plots and needs to calculate the area of a triangular plot using only the side lengths.
Which formula should the surveyor use?
Question 5
Sum of interior angles of a polygon is (n-2)*180.
Question 6
What is the formula for Heron's area?
Question 7
The circumradius of a triangle is the radius of the _____ circle.
Question 8
CASE STUDY: A city planner is designing a new park with intersecting pathways. They need to ensure that the angles formed by the pathways are equal to maintain symmetry.
What should the planner ensure about intersecting angles?
Question 9
Inscribed angle is half the central angle of the arc.
Question 10
What is the Pythagorean theorem formula?
Question 11
The sum of the first n natural numbers is n(n+1) divided by _____.
Question 12
CASE STUDY: A teacher is explaining the properties of a circle to students. They draw a tangent and a radius to demonstrate a specific angle property.
What angle is formed between a tangent and radius?
Question 13
Heron's formula calculates area of a triangle with known sides.
Question 14
What is the sum of angles in a triangle?
Question 15
The area of a triangle using Heron's formula requires the _____ perimeter.
Question 16
CASE STUDY: An architect is working on a building with a unique hexagonal floor plan. They need to calculate the total interior angle sum to ensure structural integrity.
What is the sum of interior angles in a hexagon?
Question 17
Circumradius is the radius of a circumscribed circle around a triangle.
Question 18
What is the sum of complementary angles?
Question 19
The volume of a cylinder is πr² times the _____ of the cylinder.
Question 20
Supplementary angles sum to 180 degrees.
Question 21
How do you find the area of a triangle?
Question 22
The sum of the interior angles of a hexagon is _____ degrees.
Question 23
Tangent to a circle forms a 90-degree angle with radius.
Question 24
What is the sum of interior angles in a polygon?
Question 25
In a 45-45-90 triangle, the hypotenuse is _____ times the leg length.
Question 26
Vertical angles are equal when two lines intersect.
Question 27
What is the circumradius of a triangle?
Question 28
The sum of complementary angles is _____ degrees.
Question 29
Pythagorean theorem applies to right triangles.
Question 30
What is the exterior angle of a hexagon?
Question 31
A number is divisible by 6 if it is divisible by 2 and _____.
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