General Knowledge

Question 1

What does GCF stand for?

Answer 1

Greatest Common Factor

Question 2

What does LCM stand for?

Answer 2

Least Common Multiple

Question 3

How do you find the GCF of large complex numbers ?

Answer 3

Find the prime factorization of all numbers and stack them in columns.

See what prime factors they have in common
And multiply the column of what they have in common to get the GCF

(In common means the number must be in the row of all the numbers)

Question 4

How do you find the LCM of large complex numbers ?

Answer 4

Find the prime factorization of all numbers and stack them in columns.

See what is the largest prime factors they have in common

And multiply the largest ones from each column together and thats the LCM

(You will have a number from each column

Question 5

Definition of a Trapezoid?

Answer 5

A quadrilateral with two sides that are parallel.

Question 6

Formula to find a Trapezoid area?

Answer 6

½(sum of bases)(height)

Question 7

Formula to find sum of all interior angles in polygons?

Answer 7

(n-2)*180

where n is the number of sides

Question 8

In 45º - 45º - 90º triangles, the lengths of the sides are in the ratio of:

Answer 8

1:1:√2

Question 9

In 30º - 60º - 90º triangles, the lengths of the sides are in the ratio:

Answer 9

1:√3:2

Question 10

In triangles, the lengths of the sides that are in the ratio
1:1:√2
produce what angles?

Answer 10

45º - 45º - 90º

Question 11

In triangles, the lengths of the sides that are in the ratio
1:√3:2
produce what angles?

Answer 11

30º - 60º - 90º

Question 12

Area of a triangle?

Answer 12

(Altitude x Base) /2

Question 13

What is the altitude of a triangle?

Answer 13

The altitude of a triangle is the segment drawn from a vertex perpendicular to the side opposite that vertex.

Question 14

Circumference of a circle?

Answer 14

2πr

Question 15

Area of a circle?

Answer 15

πr^2

Question 16

Quadratic equations: Shortcut to two solutions?

Answer 16

X1 = ( -b - Root( b^2 - 4ac )) / 2a
X2 = ( -b - Root( b^2 - 4ac )) / 2a

Question 17

Tangent-Secant theorem?

Answer 17

UV2=UX⋅UY

Question 18

Diagonal of a cube? (formula)

Answer 18

x√3

where x is a side of the cube

Question 19

Volume of a cone? (formula)

Answer 19

Pi x r^2 x (h/3)

= Base area x h/3

Question 20

Arithmetic Sequence?

Answer 20

A(n) = A(n-1) + Rate

= A(1) + Rate*(n-1)

Question 21

Geometric Sequence?

Answer 21

A(n) = A(n-1) * R

= A(1) * R^(n-1)

Question 22

In which case |x| + |y| > |x+y|

Answer 22

If xy<0 which means X or Y is negative.

= other cases

Question 23

Result of the Sums?
1) odd + odd
2) even + even
3 odd + even

Answer 23

1) even
2) even
3 odd

Question 24

Result of the factors?
1) odd x odd
2) even x even
3 odd x even

Answer 24

1) Odd
2) Even
3) Even

Question 25

Result of the divisions?
1)   odd  /    odd
2)  even  /  even
3   odd  /   even
4)  even  /  odd

Answer 25

1) Odd or N/A
2) Even or N/A
3) N/A (not a prime ie: 7/2)
4) Even or N/A

Question 26

7 Properties of Consecutive Integers?

Answer 26

• Terms are evenly spaced
• Arithmetic mean and median are equal
• Arithmetic mean and median= (1st term + last term) /2
• Sum of elements= n x Average
• Number of consecutive numbers = ( (Last + First)/ Increment) + 1
• Average of odd N number = Integer
• Average of even N numbers = Integer

Question 27

How many solutions to an even exponent?

Answer 27

Any number to an even power has two roots: positive and negative. eg: 4 = 2^2 or -2^2

Question 28

Product of GCF(a,b) and LCM(a,b) ?

Answer 28

a x b